Determine whether each statement is true or false:

a. Adding a multiple of one column of a square matrix to another column changes only the sign of the determinant.
b. Two matrices are column-equivalent when one matrix can be obtained by performing elementary column operations on the other.
c. If one row of a square matrix is a multiple of another row, then the determinant is 0.

Answers

Answer 1

Answer:

a. False

b. True

c. True

Step-by-step explanation:

The statement a is false and the other two statements are true. Adding a multiple of one column not only changes the sign of the determinant but also the variables are changed. When two rows of square matrix are equivalent then the determinant is zero which means when one row is multiple of another row the determinant is zero.


Related Questions

What is the value of x?

Answers

3x+84=180 minus 84
3x = 96 divide both sides by 3
x= 32°

if x is subtracted from 5 and the result is greater than 15. Find the range of values of x

Answers

Answer:

x<-10

Step-by-step explanation:

You can write this inequality:

5-x>15

Solving it:

5-x>15

-x>10

x<-10

WILL MARK BRAINLIST JUST ANSWER QUICKLY
A puddle originally contained 5 gallons of water. After a hot day, only 3.5 gallons of water remain.

What is the percent decrease?

Enter your answer in the box.

Answers

Answer:

The answer is 30%

Step-by-step explanation:

((5-3.5)/5) × 100%

Answer:

30%

Step-by-step explanation:

the other guy is right

Use the coordinates of the labeled point to find the point-slope equation of
the line
812-18
O A. y + 1 = -2(x - 2)
O B. y-2-2(x+1)
O C. y- 1 = -2(x + 2)
O D. y-2 = 2(x + 1)

Answers

Slope of line passing through (x₁, y₁) and (x₂, y₂) = (y₂-y₁)/(x₂-x₁)

(0,3) and (2,-1) are points on the line.
slope = (-1-3)/(2-0) = -2


Point-slope equation for line of slope m that passes through (x₀, y₀):
y-y₀ = m(x-x₀)

m = -2
(x₀, y₀) = (2,-1)
y+1 = -2(x-2)

Answer: y+1 = -2(x-2) is the correct answer

Step-by-step explanation: I just took the exam :)

determine whether a triangle with these side lengths would be acute, right, or obtuse: 5, 7, and 10;

Answers

Answer:

obtuse

Step-by-step explanation:

Let 5 = a, 7 = b, 10 = c

if a^2 + b^2 = c^2, then the triangle is a right triangle by the converse of the Pythagorean Theorem

If a^2 + b^2 > c^2, then the triangle is an acute triangle by Theorem 8-4

if a^2 + b^2 < c^2, then the triangle is an obtuse triangle by Theorem 8-3

a^2 = 25

b^2 = 49

c^2 = 100

25 + 49 < 100, therefore the triangle is an obtuse

Julie drank 2/3 liter of water monday before going jogging she drank 5/7 liter of water after her jog how much water did julie drink altogether answer in mixed number

Answers

Answer:

1 8/21

Step-by-step explanation:

5/7 = 15/21

2/3 = 14/21

15/21+14/21=29/21

What is the answer. I can’t figure out the formula

Answers

9514 1404 393

Answer:

Angles 4, 5, 6, 7, 8, 9 are 82°Angles 1, 2, 3, 10, 11, 12 are 98°

Step-by-step explanation:

Angles are related in this geometry by being either congruent or supplementary. Corresponding and vertical angles are congruent; any linear pair of angles is supplementary.

The given angle 5 is on the southwest corner of the intersection of the parallel line with the transversal. All southwest and northeast angles are congruent to that. That is, angles 4, 5, 6, 7, 8, 9 will all have the same measure. The remaining angles will have the supplementary measure.

Angles 4, 5, 6, 7, 8, 9 are 82°

Angles 1, 2, 3, 10, 11, 12 are 98°

_____

As you know, supplementary angles total 180°, so each is found by subtracting the other from 180°: 180° -82° = 98°.

What is 5/10 = x/100

Answers

Answer:

= 50

Step-by-step explanation:

What the top guy said

In detail and with multiple examples, describe how you can use math in your daily life. it needs 15 to 16 sentence i will give you brainest help me plzzz

Answers

Well I can use math in my daily life is when I want to build a house bird for example or even cook and follow a recipe that has math in it , example is the measuring cups , how much needs to go in and all that. Even when building a house you need to use math, or working at a cash register , to be able to count the money you need to give back to the person or take. Another example is music aswell because you need to follow the numbers when playing an instrument, not much music but yeah. And a few more examples ; Managing money $$$
Balancing the checkbook
Shopping for the best price
Preparing food
Figuring out distance, time and cost for travel
Understanding loans for cars, trucks, homes, schooling or other purposes
Understanding sports (being a player and team statistics)
Playing music
Baking
Home decorating
Sewing
Gardening and landscaping.

Hope I was able to help!

factor the expression-15x +39​

Answers

Answer:

3(5−13)

Step-by-step explanation:

..............

Answer:

-3(5x-13)

Step-by-step explanation:

The greatest common factor is 3 and you want the # with the variable to be positive, usually, so just factor -3 out and that's what you get.

Which of these polygons is not a regular polygon?
B
С
D
А
B
A

Answers

Answer:

B. A regular polygon is a shape with sides that are all equal to each other.

We see that for shape B, the sides are not equal to each other, as some sides are longer than others.

Hope this helps!

Which side lengths form a right triangle?
Choose all answers that apply:
A
3.4.5
B
7.8.9
3.9.95

Answers

Answer:

A. 3.4.5

Step-by-step explanation:

I looked it up and it forms a right angle.

The model below is shaded to represent 7 3/10

Answers

Answer:

blue 7.3

Step-by-step explanation:

Answer:

7.3

Step-by-step explanation:

There are 7 groups with 10 parts in each, 7 complete rows are filled in. 3 are left in the last row. This means that there are 7 wholes with 3 left over. 7.3

If the cost of 10 tables is $750. Find the number of tables that can be purchased with $8250.

Answers

Your answer is 110. You take 10 and divide it by 750. = 75 then you take 75. Divided 8250. = 110

A scientist wants to measure out .62liters of a liquid, but she can only find a beaker that measures volume in milliliters. How many milliliters should she measure to equal .62liters?

Answers

Answer:

620 milliliters

Step-by-step explanation:

1 milliliter= 0.001 liters

0.62L= move the decimal point 3 places to the left

0.62

06.2

062.

0620.

620 milliliters

A small water bottle holds 75% as much as a larger water bottle, if the smallholds 36 units, how much does a large hold

Answers

Answer:

48 units

Step-by-step explanation:

36 is 75% of what number

36 = .75n

n = 36/.75

n = 48

I need points because I’m 70 assignments behind

Find the y intercept and x intercept of the line below.

Answers

X intercept is 4

Y intercept is -2

Hope this helps

Ally and Beck went fishing and caught a total of 75 fish. At home,
Ally told Jair she caught twice as many fish as she actually caught.
Beck told Jair he caught three times as many fish as he actually
caught. If what they told Jair had been true, then Ally would have
caught 75 fewer fish than Beck. How many fish did Beck actually
catch?

Answers

Answer:

Beck actually caught 45 fish

Step-by-step explanation:

System of Equations

We call the following variables:

x = number of fish Ally caught

y = number of fish Beck caught

They caught a total of 75 fish, thus:

x + y = 75      [1]

If Ally had caught twice as much fish as she actually did, and Beck had caught three times as many fish as he actually did, then Ally would have caught 75 fewer fish than Beck, thus:

3y = 2x + 75      [2]

From [1]:

x = 75 - y      [3]

Substituting in [2]:

3y = 2(75 - y) + 75

Operating:

3y = 150 - 2y + 75

Simplifying:

5y = 225

Dividing by 5:

y = 45

Beck actually caught 45 fish

Answer:

Beck caught 45 fish

Step-by-step explanation:

a = number of fish Ally caught

b = number of fish Beck caught

They caught a total of 75 fish, so we have:

b + a = 75  

From the facts in our question we know Ally would have caught 75 fewer fish than Beck.

3b = 2a + 75  

a = 75 - b

3b = 2(75 - b) + 75

3b = 150 - 2b + 75

5b = 225

5b ÷ 5 = 225 ÷ 5

b = 45

Beck caught 45 fish.

Can someone please help me with continuity? I would like to check my work, I’m a bit confused on the differentiability part

Answers

For f to be continuous at some point x = c, you require that

f(c) exists and is finite, and

• the limits of f as x approaches c from either side match, and their value must be f(c)

For f to be differentiable at x = c, you require that

f is continuous at c (i.e. the above conditions are all met), and

• the derivative f ' is continuous at c

Without having the graph of f ', you can assess whether the last condition is met by some function by mentally tracing a tangent line to the graph as you get closer to c. If the slope of the tangent doesn't change, then the function is differentiable. This is usually accompanied by jumps or sharp corners in the graph.

Some examples:

• every polynomial is both continuous and differentiable

• the absolute value function |x| is continuous but not differentiable at x = 0

• 1/x is neither continuous nor differentiable at x = 0

(a) Neither continuous nor differentiable

Why? f has a vertical asymptote at x = -2 and f (-2) does not exist. f is not continuous, and therefore not differentiable.

(b) Neither continuous nor differentiable

Why? From the left, f is approaching 2.5, while from the right, it's approaching 5.

(c) Neither continuous nor differentiable

Why? The limits from either side of x = 2 match and are equal to 0.5, but f (2) itself does not exist (which is indicated by the point being a hollow circle).

If the circle was instead filled in, so that f (2) = 0.5, then f would be continuous there, but still not differentiable. Notice the sharp corner. Or, using the tangent-line analysis, the slope of the tangent to the left of x = 2 is negative, but to the right it would be positive.

(d) Both continuous and differentiable

Why? f doesn't have any special features at x = 3 that would suggest it's not continuous nor differentiable.

(e) Neither continuous nor differentiable

Why? Similar reasoning as in (a). There's another vertical asymptote, but the graph shows f (4) = 1. However, the limits from either side of x = 4 are positive infinity, not 1.

Solve the equation and show all your work. 7x = 4x + 15

Answers

Answer:

x=5

Step-by-step explanation:

subtract 4x from both sides

7x-4x=4x-4x+15

3x=15

divide by 3 on both sides

3x/3=15/3

x=5

In triangle DEF, if the measures of angles D and E are equal, and the measure of
angle F is 26, what are the measure of angles D and E?
Your answer


Answers

Answer:

77 = m∠D  =  m∠E

Step-by-step explanation:

In a triangle the sum of the measures of the angles = 180.  So m∠D  + m∠E + m∠F = 180

Let  m∠D = m∠E = x

Then x + x + 26 = 180

2x + 26 = 180

2x = 154

x = 77 = m∠D  =  m∠E

If m∠4 = 101.9°, find each of the following in degrees.
(a) m∠5
(b) m∠8

Answers

Answer:

m<5=101.9    m<8=101.9

Step-by-step explanation:

alternate interior and vertical angles

Answer:

(a) m∠5=<4[alternate angle]=101.9°,

(b) m∠8=<5[vertically opposite angle]=101.9°,


Jack is going to make treat bags to hand out on
Halloween. He is going to put a variety of candy in each
bag. To make 4 treat bags he will need 24 candies. How
many candies will he need to make 10 treat bags?

Answers

Answer:

60 candies

Step-by-step explanation:

60 candies will be needed to make 10 treat bags;)

Explanation:
Since there are 24 candies for 4 treat bags, you divide the amount of candies into the 4 bags. This gives you 6 candies per bag. Multiply 6 by 10(number of treat bags) to get 60.;)

HELP HELPOPPPP-EWOPW0E HELP PLSSSSS

Answers

Answer:

6 more girls than boys

Step-by-step explanation:

5 out of 12 are boys  (multiply both sides of equation by 3 because 3x12 = 36)

7 out of 12 are girls   (multiply both sides of equation by 3 because 3x12 = 36)

so: 15 out of 36 are boys

so: 21 out of 36 are girls

21-15 = 6 more girls than boys

Answer: There are 6 more girls than boys

Step-by-step explanation:

To find how many more girls there are we need to find what one block equals to.

We use this equation to find it.

36 = ( 5 + 7 )x

36 = 12x

3 = x

or

x = 3 (same thing)

So each block represents 3 girls/boys

The girls have 2 more meaning there are 6 more girls than boys.

Sketch the graph of y=4x2^+32x+15 using your graphing calculator. What are the x intercepts of this graph?

Answers

Answer:

x= -15/2 or -7.5

x= -1/2 or -0.5

Step-by-step explanation:

please make me brainliest

Answer:

Not C

Step-by-step explanation:

wrong

solve and receive brain list ​

Answers

Answer:

x = 19/22

Step-by-step explanation:

8x-12+36x = 26

44x - 12 = 26

44x = 38 (add 12 on both sides)

x = 19/22 (divide bot sides by 44 and simplify)

Can anyone help me pweeezzzz

Answers

Answer:

17

Step-by-step explanation:

ABC, which is 9z - 1, and CBD, which is 6z + 58, make up ABD, which is a total of 87 degrees.

in order to find the measurement of ABC, you first need to solve for z.

since ABC and CBD make up ABD, add those measurements and set them equal to 87, which is the measure of ABD.

9z - 1 + 6z + 58 = 87

combine like terms starting with the z terms. (it doesn't matter which like terms you combine first)

9z - 1 + 6z + 58 = 87 ⇒ 15z - 1 + 58 = 87

combine the next set of like terms.

15z - 1 + 58 = 87 ⇒ 15z + 57 = 87

subtract 57 from both sides of the equation. it'll cancel itself out on the left, leaving you with 15z = 30 after subtracting 57 from 87.

divide both sides of the equation by 15.

15z/15 = 30/15z = 2

now, plug in 2 for z in each of your equations for the measurements of ABC and CBD.

ABC = 9z - 1 ⇒ 9(2) - 1 ⇒ 18 - 1 ⇒ 17

CBD = 6z + 58 ⇒ 6(2) + 58 ⇒ 12 + 58 ⇒ 70

now, your measurements are

ABD: 87

ABC: 17

CBD: 70

check your work by adding the measurements of ABC and CBD and setting them equal to ABD, or 87.

17 + 70 = 87

87 = 87

since both sides of the equation are equal to 87, you know that your measurements are correct.

therefore, the measure of ABC is 17 degrees.

f(x) = x? – x3
Select the value of f(-2)
4
-12
12
A
B
C D

Answers

Step-by-step explanation:

f(x) = x² - x³

f(-2) = (-2)² - (-2)³

= 4 - (-8)

= 4 + 8 = 12

Write the equation for the graphed function

Answers

Answer:

4x² + 16x + 15 = 0

Step-by-step explanation:

We'll begin by determining the solutions to the graph.

The solutions to the graph is obtained by taking the values where the graph cut through the x–axis. This is illustrated below:

The solutions to the graph are:

x = –1.5 or –2.5

Finally, we shall determine the equation for the graph as follow:

x = –1.5 or x = –2.5

x = –3/2 or x = –5/2

Cross multiply

2x = –3 or 2x = –5

Rearrange

2x + 3 = 0 or 2x + 5 = 0

Combine

(2x + 3)(2x + 5) = 0

Expand

2x(2x + 5) + 3(2x + 5) = 0

4x² + 10x + 6x + 15 = 0

4x² + 16x + 15 = 0

Thus, the equation for the graph is:

4x² + 16x + 15 = 0

Your friend has one week to pay the $26 fine for a parking ticket. After that, the fine Increases $7 each week. ​

Answers

I don’t know what exactly you are trying to ask? But this equation would be an example of exponential growth.
Other Questions
What were the similarities and differences between tuskegee airmen and buffalo soldiers when i subtract, wouldnt you subtract it from 180. _____ career skills involve tool selection and use.Critical thinkingBasicTechnicalComputer Relative to Republicans, Democrats are more likely to favor which of the following selections?Select one:A. lower taxes on the rich to promote spending in the economyB. lower taxes on the poor to prevent the government from growing too largeC. higher taxes on the rich to pay for social programsD. higher taxes on the middle class to pay for military expenditures Urgent please help.. QUESTION 4This claim is worth arguing to a college audience. True or False?Earthquakes at Yellowstone National Park are increasing in number and intensity.O TrueO False The square prism has a base length of 2 ft. Which describes the cross section of the prism that is perpendicular to the base?A square prism. The cross section is a rectangle with 2 12 foot sides and 2 2 foot sides.a rectangle with two 12-ft sides and two 2-ft sidesa rectangle with two 12-ft sides and two sides that are shorter than 2 fta nonrectangular parallelogram with two 12-ft sides and two 2-ft sidesa nonrectangular parallelogram with two 12-ft sides and two sides that are longer than 2 ft what isPlasma membrane Were the Fish Wars resolved? How many particles are in 67.9 grams of water (H2O)? Actual demand for a product for the past three months wasThree months ago 390 unitsTwo months ago 340 unitsLast month 295 unitsa. Using a simple three-month moving average, make a forecast for this month. (Round your answer to the nearest whole number.)b. If 290 units were actually demanded this month, what would your forecast be for next month, again using a 3-month moving average? (Round your answer to the nearest whole number.)c. Using simple exponential smoothing, what would your forecast be for this month if the exponentially smoothed forecast for three months ago was 440 units and the smoothing constant was 0.20? (Round your answer to the nearest whole number.) Which poetic form began as the first three lines of a much longer poem?A. rengaB. villanelleC. sonnetD. haiku PLEASE HURRY Take 40 points.please just look at the picture. Variables like velocity and acceleration that have both size and direction are called:a independent. b vectors. c dependent. d axes The map above shows the area of land known as the Mexican Cession. How did the outcome of the Mexican-American War affect trade in the United States? It made trade with Asian countries easier. It provided a trade route between the United States and Canada. It prohibited trade between the United States and South America. It had very little impact on trade, since the area gained was mountainous.please help, and thank you! don't steal answers please. -9(x+3) < 45solve for x Select the correct answer for the sentence.A word that modifies a simple predicate is called a(n) _____.A.adjectiveB.adverbC.phrase Easy points..What is the meaning of this quote?Honesty is more than not lying. It is truth telling, truth speaking, truth living, and truth loving. Which answer choice shows how a historical fact was altered in the story A Fateful Journey? pls help guys and pls show working