For each of the following properties write down a matrix that has this property or explain why there is no such matrix (Hint: Check first whether the dimensions add up)
(a) The column space contains (1,0,0)T, (0,0,1)T while the row space contains (1,1)T and (1, 2)T.
(b) The column space is generated by (1,1,1)7T, the null space (or kernel) is generated by (1,2,3)T
(c) The column space is R4 and the row space is R3.

Answers

Answer 1

Answer:

a) A =   [tex]\left[\begin{array}{ccc}1&0\\0&0\\0&1\end{array}\right][/tex] 3*2

b) attached below ( Matrix dose not exist )

c) attached below  ( Matrix does not exist )

Step-by-step explanation:

a) Matrix

A =   [tex]\left[\begin{array}{ccc}1&0\\0&0\\0&1\end{array}\right][/tex] 3*2

From the matrix ; Column 1 and Column 2 Belong to COL(A)

while : (1,1)^T  =  ( 1,0 )^T +  ( 0,1 )^T  i.e. (1,1)^T  ∈  Row( A )

and (1, 2)^T. = ( 1,0 )^T + 2 ( 0,1 )^T   i.e. (1, 2)^T  ∈  Row( A )

Hence ; all requirements are fulfilled in Matrix A

b)  The column space is generated by (1,1,1)7T, the null space (or kernel) is generated by (1,2,3)T

Matrix is Non-existent because condition is not met

attached below

c) Rank | A |

dimension of column space= 4 , dimension of Row space = 3

Given that ; column space ≠ Row space

Hence Matrix does not exist

For Each Of The Following Properties Write Down A Matrix That Has This Property Or Explain Why There

Related Questions

Lol, can someone help me please?

Answers

Answer:

1. 11/26 because you add all of the numbers together and thats how i got 26 then you simplify 11/26 which is the simplist form.

2. 5/13 because you simplify 10/26 which equals 5/13

3. 5/26 because it is already in the simplist form

Step-by-step explanation:

~ Hope this helped u Kaitilyn :)))))

Answer:

11/26 is red, 10/26 is yellow, and 5/26 is blue

Step-by-step explanation:

So, to find the probabilities, we must figure out the total amount of frequency found. To do this lets add up the frequencies of red blue and yellow:

11+10+5 = 26

So our total is 26.

This will be the denominator of our fractions. The numerator will be the amount of the specific freuqency we are looking at.

So reds would be:

11/26 - Frequency of red over Total frequency = Ratio

10/26 - Frequency of red over Total frequency = Ratio

5/26 - Frequency of red over Total frequency = Ratio

So these are your 3 answers!

Hope this helps!

Which of the following lists of ordered pairs is a function?

A.
(1, 2), (1, –2), (3, 2), (3, 4)

B.
(0, 2), (2, 3), (0, –2), (4, 1)

C.
(1, 6), (2, 7), (4, 9), (0, 5)

D.
(2, 4), (0, 2), (2, –4), (5, 3)

Answers

The answer is C

Step-by-step explanation:

Not sure I can't really give an explanation but its C


Given that yx is a diameter of V, find mZVX if mYVZ=(15r -1)", mWVX =(8x- 2).mUVW =(7x +15).
and mYVU = 3x + 5).
A 32
B 45°
C 70
D. 134

Answers

C

Answer: the answer is (C)

Which angles are complementary? I'm not sure if its B.

Answers

Answer:

You are right, it's B

Step-by-step explanation:

Complementary angles are angles that add up to 90 degrees.

Answer:

The answer is B. the measure of angle GPF and the measure of angle GPH.

Step-by-step explanation:

Two angles are called complementary when their measures add to 90 degrees.

Since the measure of angle FPD has a known angle measure of 90 degrees, the measure of angle FPH is also 90 degrees.

Thus, causing the measure of angle GPF and the measure of angle GPH to add up to 90 degrees, which makes the two angles complementary.  

Tích các nghiệm của phương trình Log(x-1)²=2 là

Answers

Answer:

-99

Step-by-step explanation:

Log(x-1)²=2

Log(x-1)²=Log(100)

(x-1)²=100

x-1=10 and x-1=-10

x₁=11     and x₂=-9

x₁ × x₂ = 11 × (-9) = -99

Correct answer plz. 15 points. Reported for wrong answer. Thx

Answers

Third option is the right answer:  

−2x + 4y ≥ 0

is the function given by G(x) - 1/x-6 continuous over the interval (1, ∞)? Why or why not?

a. No, the function is not continuous at x=
b. Yes, the function is continuous over (1,∞) because lim x>a G(x)= G(a) for all a in (1,∞).

Answers

Answer:

No, the function is not continuous at x=

-5x=25 how to solve this problem ​

Answers

x = -5

The goal of this problem is to solve for x.

To solve x in this problem you need to find a way to get it by itself on the left side, the way to do this is divide -5x by -5.

You then also have to do the same for the right side. This gives you -5.

mong moi nguoi giup do

Answers

mong moi do giup mguoi

José tiene 30 años menos que su padre y 27 más que su hijo. entre los 3 suman 135 años ¿ cuántos años tiene cada uno?​

Answers

Answer:

44 años tiene jose . el padre 74 y el hijo 17 años.

Step-by-step explanation:

Jared has 20 flowers. He wants to plant all of the flowers in equal rows in his garden. What are the different ways Jared can arrange the flowers in equal rows? Solve this problem any way you choose.

Answers

Answer:

5 rows of 4 each

4 rows of 5 each

2 rows of 10 each

10 rows of 2 each

1 row of 20

20 rows of 1

Step-by-step explanation:

your teacher plotted a set of cordinetes that contained a negative x and positive y Wich point graphed below could represent the point plotted​

Answers

Answer:a

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

This set of coordinates does represent a point [tex]P(x,y)[/tex].

Considering a Euclidian plane, such that [tex]P(x,y) \in\mathbb{R}^2[/tex], we have [tex]x\in(-\infty, 0)[/tex] and [tex]y\in[0, \infty)[/tex] . Therefore, the point is in Quadrant II. You possibly forgot to give the points, but point like [tex](-1, 2), (-20, 5), (-1.234, 78)[/tex] could be the answer. In fact, you can just define the point as

[tex]P(x,y) \in\mathbb{R}^2 : x\in(-\infty, 0) \text{ and } y\in[0, \infty)[/tex]

The math score for ten of Mrs. Moore's students are shown below. How many students made a score of more than 69 but less than 90?

Answers

Answer:

8

Step-by-step explanation:

first, 70-79 have 3 students

then 80-89 have 5 students

HELP!! I don’t know part c or d and I need to know if part a and b are correct thanksss

Answers

Answer:

d=67257

c=93

Step-by-step explanation:

Help me complete this

Answers

Answer:

x = 9.9 in.

Step-by-step explanation:

area of triangle = base * height /2

49 = x*x /2

49*2 = x^2

98 = x^2

[tex]\sqrt{98}[/tex] = x

[tex]7\sqrt{2}[/tex] = x

9.9 = x

PLEASEEEEE HELPPPPPPPP

Answers

Answer:

f(-5) = -195

Step-by-step explanation:

Given that,

[tex]f(x)=x^3-2x^2+3x-5[/tex] ....(1)

and

[tex]g(x)=x^2+x-1[/tex]

We need to find the value of f(-5).

Put x = -5 in equation (1).

[tex]f(-5)=(-5)^3-2(-5)^2+3(-5)-5\\\\=-195[/tex]

So, the value of f(-5) is equal to (-195).

Find the Diameter of the circle, whose radius is 17 cm.

Answers

Answer:

34 cm

Step-by-step explanation:

The radius is half of the diameter, so 17 cm is half of 34 cm.

Diameter = 34 cm

rational numbers.
Example 6: Write any 3 rational numbers between –2 and 0.
-20
0
ondas
-​

Answers

Answer:

my firnd coli

Step-by-step explanation:

In a plain, robust, conversational style, the author known as “Elena Ferrante” has captivated readers worldwide with her chronicle of a complicated friendship between two women.

Someone please help T.T I need help ASAP

Answers

Step-by-step explanation:

Given that,

The quadratic equation that models the ball's height above the ground h, t seconds after it was thrown is given by :

[tex]h=-16t^2+108t+28[/tex] ...(1)

(a) For maximum height, put dh/dt = 0

So,

[tex]\dfrac{d(h)}{dt}=\dfrac{d}{dt}(-16t^2+108t+28)=0\\\\-32t+108=0\\\\t=\dfrac{108}{32}=3.37\ s[/tex]

Put the value of t in equation (1).

So,

[tex]h=-16(3.37)^2+108(3.37)+28\\\\h=210.24\ ft[/tex]

(b) When the ball reaches the ground,

h = 0

So,

[tex]-16t^2+108t+28=0\\\\t=7\ s[/tex]

So, the ball hits the ground in 7 seconds.

Convert: (a) 250 liters to kiloliters, (b) 4.5 liters to milliliters.​

Answers

Answer:

a) 0.25 kl

b) 4500 ml

Step-by-step explanation:

a)

1 kiloliter = 1000 liters

x kiloliters = 250 liters

    [tex]x = \frac{250}{1000} = 0.25 \ kiloliters[/tex]

b)

1 liter         = 1000 milliliters

4.5 liters   = x

  [tex]x = 4.5 \times 1000 = 4500 \ milliliters[/tex]

Polygon ABCDE is reflected to produce polygon A’ B’ C’ D’ E’. What is the equation for the line of reflection?

Options:
A. y=0
B. x=0
C. x=2
D. y=1

Answers

Answer:

B. x=0

Step-by-step explanation:

The Polygon ABCDE is reflected by

y-axis => x=0 , to produce polygon A’ B’ C’ D’ E’

Answer:

B. x = 0

Step-by-step explanation:

Plato

prove that
SinA÷tanA=cosA​

Answers

Step-by-step explanation:

sinA/tanA

=>sinA ÷ sinA/cosA

=>sinA x cosA/sinA

=>cosA

Step-by-step explanation:

Hey there!

LHS

[tex] = \frac{ \sin(a) }{ \tan(a) } [/tex]

[tex] = \sin(a) \times \frac{ \cos(a) }{ \sin(a) } [/tex]

= cos A

Proved!!

Hope it helps!

A communications company has developed three new designs for a cell phone. To evaluate consumer response, a sample of n = 120 college students is selected and each student is given all three phones to use for one week. At the end of the week, the students must identify which of the three designs they prefer. The distribution of preference is as follows:

Design 1 Design 2 Design 3
54 38 28

Required:
Do the results indicate any significant preferences among the three designs?

Answers

Answer:

There is significant preference among the 3 designs

Step-by-step explanation:

Given :

Design 1 Design 2 Design 3

54 38 28

H0 : no significant preference among the 3 designs

H1 : The preference among the designs are different

To test, we use the Chisquare test for independence ;

χ² = (observed - Expected)² / Expected

The sample size, n = 120

Expected = 120 / number of designs = 120 / 3 = 40

(54-40)^2/ 40 + (38 - 40)² / 40 + (28 - 40)² / 40

= 4.9 + 0.1 + 3.6

= 8.6

The Chisquare critical value at 95% = 5.99

Since ;

|χ² critical| < χ² statistic ; we reject the null and conclude that there is significant preference among the 3 designs

Giải phương trình
X^2 +2x-3=?

Answers

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \:(x - 1)(x + 3) }}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] {x}^{2} + 2x - 3[/tex]

[tex] = {x}^{2} + 3x - x - 3[/tex]

Taking [tex]x[/tex] as common from first two terms and 1 from last two terms, we have

[tex] = x(x + 3) - 1(x + 3)[/tex]

Taking the factor [tex](x+3)[/tex] as common,

[tex] = (x - 1)(x + 3)[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

What’s the word for this definition? “The change in the Y values divided by the change in X values”

Answers

Answer:

slopes is the ratio of the change in the y value over the change in the x value

Find the solution of the differential equation that satisfies the given initial condition.
dy/dx = x/y, y(0) = −3

Answers

Answer:

y=-sqrt(x^2+9)

Step-by-step explanation:

This problem can be solved with the help of separating the variables.

dy/dx=x/y

Multiply both sides by y

y dy/dx=x

Multiply both sides by dx

y dy=x dx

Integrate

y^2/2=x^2/2+c

Let's find c using the condition y(0)=-3.

(-3)^2/2=(0)^2/2+c

9/2=0+c

9/2=c.

The equation is y^2/2=x^2/2+9/2.

Let's make this a bit prettier multiplying both sides by 2:

y^2=x^2+9

Taking square root of both sides gives:

y=+/- sqrt(x^2+9)

Since we want y(0)=-3, then we will choose

y=-sqrt(x^2+9).

if f is the function defined by f(x) = 3x-1, find the solution set for F(x)=2

Answers

Answer:

x = 1

Step-by-step explanation:

3x - 1 = 2

Add1 to both sides

3x = 3

Divide both sides by 3

x = 1

Choose the fraction that is greater than 5/9

Answers

Answer:  Choice D)   14/23 > 5/9

===========================================

Convert each fraction shown to decimal form

5/9 = 0.555557/16 = 0.43750  8/15 = 0.53333 6/11 = 0.54545 14/23 = 0.60870

With the exception of 7/16 = 0.43750, the other decimal values are approximate.

From that list, we can see the decimal representations of 7/16, 8/15, and 6/11 are all smaller than the decimal version of 5/9. So we rule out choices A, B, and C. The answer must be choice D.

Sure enough, 14/23 = 0.60870 is indeed larger than 5/9 = 0.55555

---------------------

We can show this another way:

First off, assume that 14/23 and 5/9 are equal. We'll cross multiply and show a contradiction happens

14/23 = 5/9

14*9 = 23*5

126 = 115

The contradiction happens since we should get the same value on both sides if the two sides were equal, but they're not equal.

If we replace each equal sign with a greater than sign, then we get,

14/23 > 5/9

14*9 > 23*5

126 > 115

You can think of it like working backwards up the chain.

international system of 89643092 in words​

Answers

Answer:

Eighty nine million six hundred forty three thousand ninety two

Step-by-step explanation:

89,643,092

=> Eighty nine million six hundred forty three thousand ninety two

If l=10 b=5 and h=2, find the values of 2(lb+bh+lh)​

Answers

Answer:

160

Step-by-step explanation:

[tex]2((10)(5)+(5)(2)+(10)(2))\\2(50+10+20)\\2(80)\\160[/tex]

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\large\textsf{2(lb + bh + lh)}\\\\\large\textsf{= 2(10(5) + 5(2) + 10(2))}\\\\\large\textsf{10(5) = \boxed{\bf 50}}\\\\\large\textsf{= 2(50 + 5(2) + 10(2))}\\\\\large\textsf{5(2) = \boxed{\bf 10}}\\\\\large\textsf{= 2(50 + 10 + 10(2))}\\\\\large\textsf{50 + 10 = \boxed{\bf 60}}\\\\\large\textsf{= 2(60 + 10(2))}\\\\\large\textsf{10(2) = \boxed{\bf 20}}\\\\\large\textsf{= 2(60 + 20)}\\\\\large\textsf{60 + 20 = \boxed{\bf 80}}\\\\\large\textsf{= 2(80)}\\\\\large\textsf{= \boxed{\bf 160}}\large\checkmark[/tex]

[tex]\boxed{\boxed{\huge\textsf{Answer: \bf 160}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

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