find all values of the unknown constant(s) for which A is symmetric. A = 4 a+5 -3 -1

Answers

Answer 1

There is no value of the unknown constant "k" for which A is symmetric.

A matrix A is symmetric if [tex]A = A^T[/tex], where [tex]A^T[/tex] denotes the transpose of A.

So, if A is symmetric, we must have:

[tex]A = A^T[/tex]

That is,

4a + 5 -3

-1 k =

-3

where k is the unknown constant.

Taking the transpose of A, we get:

4a + 5 -1

-3 k =

-3

For A to be symmetric, we need [tex]A = A^T[/tex], which means that the corresponding elements of A and [tex]A^T[/tex] must be equal. Therefore, we have the following equations:

4a + 5 = 4a + 5

-3 = -1

k = -3

The second equation is a contradiction, as -3 cannot be equal to -1. Therefore, there is no value of the unknown constant "k" for which A is symmetric.

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Related Questions

Can someone please help me with this I will give brainliest

Answers

Answer:

Step-by-step explanation:

2(2x +4) - 2x = x + 18

4x +8 -2x = x +18

2x -x = 18-8

X = 10

Put the value of x in both side

Left side *+*+*+*+*+

2 ( 2*10+4)-2*10

48-20 = 28

Right side +*+*+*+*+*

X + 18

10+ 18 = 28

Mark it as Brainlist. Follow me for more answer

Solve this system of equations.Write your answer as an ordered pair.3x+4y=36 y=-1/2x+8

Answers

Answer:

x = 4

y = 6

Step-by-step explanation:

[tex]\left \{ {{3x+4y=36} \atop {\frac{1}{2}x+4y=8 }} \right.[/tex] rewrite the equations and multiply bottom equations by -4

[tex]\left \{ {{3x+4y=36} \atop {-2x-4y=-32}} \right.[/tex] add both equations together

x = 4

then, input x=4 into equation 3x+4y=36:

3(4)+4y=36 (simplify)

12+4y=36 (subtract 12 from both sides)

4y=24 (divide both sides by 4)

y=6

what is the radius of a circle with the ratio 1:4 when the smaller one is 12cm​

Answers

Answer:

48

Step-by-step explanation:

1 to 4 = 12 to ?

multiply the small one by 4 to get the bigger one

Step-by-step explanation:

1:4

12:x

1=4

12=x

cross multiply

x=4×12

x=48

A flower vase bought for Rs. 72 and sold for Rs. 63. Find the loss percent.​

Answers

Answer:

12.5% is loss....

hope it helps.

Answer:

the lost percentage is 14.28%

Step-by-step explanation:

1 - (72÷63) = -0.1428 x 100% = -14.28 %

(Please heart the answer if you find it helpful, it's a motivation for me to help more people)

A meal costs $30 before tax and tip.
There is a 7% sales tax. After the tax, a 20% tip is
added.
What is the total after tax and tip?

Answers

Answer:

$38.1

Step-by-step explanation:

Tax: 30*0.07 = 2.1

Tip: 30*0.2 = 6

Total: 30 + 2.1 + 6 = 38.1

Set up a system of equations for the following situation: The girls basketball team spent a total of $1,590 on new basketballs and sweat suits for the players. If each new basketball cost $30 and each sweat suit cost $90, how many of each did the team purchase? *

Answers

Answer:

there are 13 players in a team

If a rectangle measures 21 centimeters by 28 centimeters what is the length in centimeters of the diagonal of the rectangle

Answers

Answer:

35cm

Step-by-step explanation:

Given data

Length= 21cm

Width= 28cm

Diagonal= ???

Applying Pythagoras theorem

D^2= L^2+W^2

D^2= 21^2+28^2

D^2= 441+784

D^2= 1225

D= √1225

D= 35cm

Hence the diagonal is 35cm

write a quadratic equation with the roots 1/2 and -5

Answers

x = 1/2    or    x = -5

2x - 1 = 0     or     x + 5 = 0

(2x-1)(x+5) = 0

2x² + 10x - x - 5 = 0

2x² + 9x - 5 = 0

Hope it helps!

Answer:

2[tex]x^{2}[/tex] + 9x - 5 = 0

Step-by-step explanation:

// Use the Vijet's theorem,

// note that the kofficient before [tex]x^{2}[/tex] = 1

Sum of the roots is:

1/2 + (-5) = - 4,5

Product of the roots is:

0,5 * (-5) = - 2,5

Formation of quadratic equation:  

[tex]x^{2}[/tex] - (sum of the roots) x + product of the roots  =  0

[tex]x^{2}[/tex] - (-4,5) * x + (-2,5) = 0

[tex]x^{2}[/tex] + 4,5x -2,5 = 0

// multiply both sides by 2

2[tex]x^{2}[/tex] + 9x - 5 = 0

Make me the brainliest ;)

Which value is the solution for this equation

2/3(6h-9)=6
A) -1
B) 1
C) 3
D) 5

Answers

Answer:

h = 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

2/3(6h - 9) = 6

Step 2: Solve for h

[Division Property of Equality] Divide 2/3 on both sides:                             6h - 9 = 9[Addition Property of Equality] Add 9 on both sides:                                   6h = 18[Division Property of Equality] Divide 6 on both sides:                                h = 3

cual numero es mayor q 9/5​

Answers

Answer:

9/5 es mayor que 4/5 Realmente espero que esto te ayude

2.25 es mayor que 1.8; por lo tanto: 9/4 es mayor que 9/5.

subtract (2y + 3x-x²) from (5x²-y2-2x)​

Answers

Answer:

6x² - 5x - y² - 2y

Step-by-step explanation:

We have

5x² - y² - 2x - (2y + 3x - x² ) ← distribute parenthesis by - 1

= 5x² - y² - 2x - 2y - 3x + x² ← collect like terms

=  6x² - 5x - y² - 2y

Determine the intercepts of the line:

y = -9x - 14​

Answers

Answer: (-14/9, -14) or (-1.5, -14)

Step-by-step explanation:

y = -9x - 14

the coefficient without a variable in a slope-intercept equation is the y-intercept -- in this case, it is -14

to find the x intercept you use the equation given, set y to equal zero and Solve for x

- Your new equation should be: 0 = -9x - 14

Our new goal is to isolate the x

Start by doing the inverse of the coefficient, so add 14 to both sides

- Your new equation should be: 14 = -9x

Theres still a -9 attached to the x and the -9 is attached by multiplication -- so now you do the inverse function and divide both sides by -9

Your final answer: -14/9 = x or -1.5 with a repeating decimal

Suppose $ 1,250 is placed in a savings account over 2 years. Find the interest earned if the rate is 4.5%

Answers

Answer: $112.50

Step-by-step explanation:

The Simple interest will be calculated using:

= Principal × Rate × Time

= 1250 × 4.5% × 2

= 1250 × 0.045 × 2

= $112.50

Therefore, the interest earned will be $112.50

Answer:$112.50

Step-by-step explanation:

five litres of paint costs R575 .Work out the cost of fifteen litres of paint


Answers

Answer:

first of all learn how to spell liters

1725

Step-by-step explanation:

15 liters of pain will cost Rs.225

What is multiplication?

Multiplication is a process of adding a number repetitively. Mathematically, we can write -

m = a x b

Given is that the 5 liters of paint costs Rs. 75.

5 liters of paint costs Rs. 75.

1 liter of paint will cost Rs. (75/5)

15 liters of pain will cost Rs. (75/5 x 15) = 75 x 3 = Rs. 225

Therefore, 15 liters of pain will cost Rs.225

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The fisherman pays a contractor to repair his dock. The charges are $1200 for lumber, $60 for sales tax, and $750 for labor. The fisherman pays $260 down and finances the remainder. There is a finance charge of $41.06.

Answers

Answer:

Im guessing we have to add these, considering you did not put the rest of the question. In that case, the answer would be 2311.06

Step-by-step explanation:

This is for today help!!!!

Answers

Answer:

Part A 73  Part B 113

Step-by-step explanation:

how many solutions does the equation 5x+13=13 have

Answers

Answer:

It only has one solution

Step-by-step explanation:

1; . If you subtract 13 from both sides you have 5x=0. Then divide 5 on both sides to get 0 over 5. 0 divided by ANYTHING is 0= so you only have one answer.

Determine which points are a solution to the system of inequalities.

the answer choices are:
a. (0,0)
b. (4,1)
c. (3,-2)
d. (2,0)
e (4,-4)
f (1,3) ​

Answers

Answer:

I think it's e 4 -4

Step-by-step explanation:

hope this helps

The answer to this question is e

Angle ABC is a straight angle. The measure of angle ABD is x. What is the value of x?

Answers

Answer:

45 degrees

Step-by-step explanation:

A straight angle is equal to 180, so subtract 135 from 180

Answer:

45

Step-by-step explanation:

Sam bought 6 pens for an unknown price plus a
backpack. If he spent a total of $28.50, write an
equation to find the cost of each pen.

Answers

so sam bought SIX pens for a TOTAL of $28.50. we have to figure out how much money each of the six pens cost.

steps:

1. divide the total by the amount of items purchased:

28.50 / 6 = 4.75

and there’s your answer! each pen cost $4.75

steps to check your work:

1. multiply the single cost by the amount of items purchased:

4.75 ( 6 ) = 28.50

Plz help with all 3 questions i will give Brainliest

Answers

Answer:

Step-by-step explanation:

8) entire cost of meal = m

m = 14.68 + 14.68

  = 29.36

Solution $29.36

9) Let Elijah's height  = h

h + 6 = 48

      h = 48 - 6

  Solution 42 inches

10)     x - 15 = 20

              x = 20 + 15

Solution 35 ounces

please help! how do you do this question?

Answers

9514 1404 393

Answer:

  (0.75, -1)

Step-by-step explanation:

The center of the circle is at the midpoint of any diameter segment. The midpoint formula can be used.

  C = (A +B)/2

  C = ((-1, 1) +(2.5, -3))/2 . . . . fill in A and B

  C = (-1+2.5, 1-3)/2 . . . . . . .  add the coordinates

  C = (1.5, -2)/2 . . . . . . finish the addition; next, divide by 2

  C = (0.75, -1) . . . . . . the center of the circle

A certain sum of money gives $ 510 as compound interest 12¹/₂ % per annum for 2 years. Find the simple interest on the same sum of money at the same rate for the same period of time.

Answers

Answer:

$127.5

Step-by-step explanation:

Given data

P = $510

r= 12.5%

t= 2 years

The expression for simple interest is

SI= PRT/100

SI= 510*12.5*2/100

SI= 12750/100

SI= 127.5

Hence the Simple interest is $127.5

Abby got a summer job. The table shows how much money she will earn based on the number of hours she works.
Hours Worked 20 30 40 50
Dollars Earned 150 225 300 375
Based on the table, how much money will she earn if she works 65 hours?
O A $450.00
B. $475.50
C. $487.50
D. $525.00

Answers

Answer:

C

Step-by-step explanation:

She earns $487.50

375+75+37.5=487.5

Answer: c

Step-by-step explanation

First find the unit rate

$150 divided by 20 = $7.50

So she's earning $7.50 an hour

$7.50 times 65 hours = $487.50

So the correct answer is C

What is the name for a savings account in which money must stay deposited for a specific amount of time? A. Traditional savings account B. Certificate of deposit C. Money market account D. Retirement account​

Answers

Answer:

B. Certificate of deposit

Step-by-step explanation:

in traditional savings account you can take the money out anytime (usually up to 5 times a month)

in retirement account​ (well this could include 401k ,etc..)

Answer: B

Step-by-step explanation:

Alec is thirsty and wants to know how much milk can fit in his favorite mug. His mug is a cylinder and has a radius
(r) of 2 inches and a height (h) of 8 inches. The formula for the volume of a cylinder is given.
V = trh
How much milk can Alec's mug hold?

Answers

Answer:

i think it is v=8 love

Step-by-step explanation:

Answer:

It's 10

Step-by-step explanation:

Y=-x-2
2x-3y=-9
Solve for x and y

Answers

Answer:

y = - x - 2

2x - 3y = - 9

put value of y

2x - 3(-x - 2)= -9

2x +3x +6 = - 9

5x = - 9 - 6

5x = - 15

x = - 3

now put x in y = - x - 2

y = - (-3)-2

= 3-2

y = 1

the sum of the number and 5 is 12

Answers

Answer:7

Step-by-step explanation: x+5=12 solve for x = 7

Answer:

"a number" = 7

Step-by-step explanation:

let "a number" = x.

x + 5 = 12

Isolate the variable x. Note the equal sign, what you do to one side, you do to  the other. Subtract 5 from both sides.

x + 5 (-5) = 12 (-5)

x = 12 - 5

x = 7

7 is your answer.

~

Halppppppppppppppppppp​

Answers

Answer:

Yes

Step-by-step explanation:

[tex]y\leq 3x+9\\\\8\leq 3(7)+9\\\\8\leq 21+9\\\\8\leq 30[/tex]

Yes, the given point makes the inequality true. We end up with a true statement.

Hope this helps.

1/8 = 2/5 times X . What is X

Answers

Answer: 5/16

Step-by-step explanation:

Answer:

0.0125

Step-by-step explanation:

1/8=2/5x

Divide by 2/5 on each side of the equation. X=0.0125. 0.0125=1/80. The last option.

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