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SVETLANKA909090 [29]
1 year ago
11

Suppose A is an invertible n×n matrix and v is an eigenvector of A with associated eigenvalue 4. Convince yourself that v is an

eigenvector of the following matrices, and find the associated eigenvalues:
A4, eigenvalue = ?
A−1, eigenvalue = ?
A+4In, eigenvalue = ?
2A, eigenvalue = ?
Mathematics
1 answer:
mote1985 [20]1 year ago
7 0

The eigenvector of matrix A4 is 4096.

The eigenvalue of the matrix A-1 is 1/8.

(A+4I) has an eigenvalue of 12.

40 is the eigenvalue of 5Av.

The collection of scalar values known as the eigenvalues of a matrix are connected to the set of linear equations that are most likely contained within the matrix equations.

The eigenvectors are also known as the characteristic roots.

If the matrix A's eigen vector v is linked to an eigen value.

Av then equals lamda v.

The fact that v is an eigen vector of A with the value eight is assumed.

hence, Av = 8v.

We must determine the eigenvalue of A4.

A4*v equals A3(8v) = 84*v equals 4096v.

As a result, the eigenvalue of A4 is 4096.

Suppose A has an eigenvalue of 8. The eigenvalue of A-1 is thus 1/8.

It is calculated that the eigenvalue of (A+4I) is (A +4In)v = Av + 4v = 8v + 4v =12v.

(A+4I) has an eigenvalue of 12.

The value of 5Av's eigenvalue is 5Av = 5*8v = 40v.

40 is the eigenvalue of 5Av.

Learn more about the eigen vectors here:

brainly.com/question/15423383

#SPJ4

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SHOW YOUR WORK!!!!!!!!!!!!!!!!!!!
Oduvanchick [21]

Answer:

My Answer: <u>33.95</u>

Step-by-step explanation:

x - 13.75 = 20.2

so because it is subtracting we have to add.

x - 13.75 + 13.75 = 20.2 + 13.75

when added, x will cancel out, and we will be left with the answer.

x = 33.95

GL!

-Oceaniii

3 0
3 years ago
Which of the following is the value of 2x' +5x+9 when x =10?
stealth61 [152]

Answer:

The correct answer is: 259.

7 0
3 years ago
PLS HURRY FIRST ONE TO DO IT GETS BRAINLEIST Maria and her classmates are standing with other people in a line of 35 people wait
solniwko [45]

Answer:

7 classmates

Step-by-step explanation:

The last person in the line is in position 35.

The Maria's leading classmate is in the position 35-23+1 = 13.

So, Maria's classmates are from position 13 to 19 (not including herself), and their number is 19-12 = 7 persons.

ANSWER.  Maria has 7 classmates  (not including herself).

Hope this helps.

4 0
3 years ago
Algebra problem!!! Please help me!!!
zmey [24]

Good morning Brainiac

x+y = 13

1/2 x +y = 10


We gonna solve x+y=13 for x

So let's start by adding -y to both sides

x+y -y = 13-y

x= -y +13

Now substitute -y+13 for x in 1/2 x +y=10

1/2 x +y = 10

1/2 (-y+13)+y=10

1/2 y + 13/2 = 10

Now add -13/2 to both sides

1/2 y+13/2 -13/2 = 10- 13/2

1/2 y = 7/2

Now eliminate the common denominator which is 2

y = 7

Now we have the value for y, so lets find the value for x by substitute 7 for y in x= -y+13

x= -y+13

x= -7 + 13

x= 6

Answer : (6,7)

The answer is B


I hope that's help and if you have questions please let me know :)


Good luck

3 0
3 years ago
Read 2 more answers
What is simplest form of sqrt 2 + sqrt 5 / sqrt 2 - sqrt -5? √2 + √5 / √2 - √-5
Leni [432]

Answer:

\frac{-7-2\sqrt{10}}{3}

Step-by-step explanation:

we have

\frac{\sqrt{2}+\sqrt{5}}{\sqrt{2}-\sqrt{5}}

Simplify

Multiply the expression by  \frac{\sqrt{2}+\sqrt{5}}{\sqrt{2}+\sqrt{5}}

(\frac{\sqrt{2}+\sqrt{5}}{\sqrt{2}-\sqrt{5}})(\frac{\sqrt{2}+\sqrt{5}}{\sqrt{2}+\sqrt{5}})

Apply difference of squares in the denominator

\frac{(\sqrt{2}+\sqrt{5})^2}{(\sqrt{2})^2-(\sqrt{5})^2}

\frac{2+2\sqrt{10}+5}{2-5}

\frac{7+2\sqrt{10}}{-3}

\frac{-7-2\sqrt{10}}{3}

6 0
3 years ago
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