1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
3 out of five picks are orange . If 12 picks are orange , how many picks are there in all?
tekilochka [14]

20 picks in total .

8 0
3 years ago
Rewrite each expression below using the distributive property then evaluate each expression for X equals two and Y equals five.
Anit [1.1K]
A)8*2-4            b)6*5+2+24*5                c)7*2(5-2)                  d)3(9+5)
  12                      30+2+120                     14*3                             3*14
                            152                                  42                              42
i hope it helps

4 0
3 years ago
Is 7 1/5 a rational number
kolbaska11 [484]
Yes because when you turn into a decimal it's 7.2
7 0
3 years ago
Read 2 more answers
In which career would you most likely apply concepts from geometry ?
Pavlova-9 [17]

Answer:angels

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Determine the value of A <br> Solve it please
Vitek1552 [10]
A= 30
Explanation: 88-58=30
8 0
3 years ago
Other questions:
  • If the area of a circle measures 25π cm2, what is the circumference of the circle in terms of π?
    12·2 answers
  • A diagonal of a parallelogram forms 25° and 35° angles with sides of parallelogram. Find the angles of the parallelogram.
    5·1 answer
  • The measurements of the three sides of a triangle are represented by the expressions 2x, 3x and 4x. If the perimeter of this tri
    13·1 answer
  • Solve, using the substitution method. 2x + 3y = 3 x + 2y = 1 (1, 4) (0, –2) (3, –1) (7, -5/2)
    5·1 answer
  • A cruise ship travels east across a river at 19.0 meters per minute. If the river is 4,250 meters wide, how long does it take fo
    10·2 answers
  • Please help. The question is in the picture
    11·1 answer
  • Cam rode her bike 5 times as far as Dante did. Dante rode 197 meters farther than Michael did. Cam rode 10.25 kilometers. How ma
    8·1 answer
  • What is the surface area of a cube 20 cm, 20 cm, and 20 cm?
    7·2 answers
  • Pls help plssssss thank you 20 points
    9·1 answer
  • Simplify : p^2-p-12/p^2-10p+24​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!