Question

-2 2 1 Determine if the matrix A = -4 4 2 is diagonalizable. If so, find an invertible matrix P and a 1 -1 0 diagonal matrix

0 0
Add a comment Improve this question Transcribed image text
Answer #1

The Ch. Polynomial -2-9 2 - 4 4-9 2 /وه 0-9 y - 9 (9.1) (9-11-0 So, 9-0, / for daal for a - o Ci 1103)-(3):1*3*)$) (3) 4. - 2

Add a comment
Know the answer?
Add Answer to:
-2 2 1 Determine if the matrix A = -4 4 2 is diagonalizable. If so,...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • 1-11 23 )--[-!?). - (111) DE 1 0 0 4 1 - 4 4 0-3 0...

    1-11 23 )--[-!?). - (111) DE 1 0 0 4 1 - 4 4 0-3 0 0 0 3 0 0 -1 0 5 4 2-3 E = 6. Consider the matrix A, above. Use diagonalization to evaluate A. 7. Consider the matrix B, above. Find a diagonal matrix D, and invertible matrix P, such that B = PDP- 8. Consider the matrix C, above. Find a diagonal matrix D, and invertible matrix P, such that C = PDP-!. If...

  • (1 point) Let 3 -4 A = -4 -1 -4 -2 -2 If possible, find an...

    (1 point) Let 3 -4 A = -4 -1 -4 -2 -2 If possible, find an invertible matrix P so that D = P-1 AP is a diagonal matrix. If it is not possible, enter the identity matrix for P and the matrix A for D. You must enter a number in every answer blank for the answer evaluator to work properly. P= II II D= Be sure you can explain why or why Is A diagonalizable over R? diagonalizable...

  • Answer 7,8,9 1-11-1)--[-13.-(41-44)--:-- 3 1 0 0 -1 0 5 4 2-3 0 0 0 6....

    Answer 7,8,9 1-11-1)--[-13.-(41-44)--:-- 3 1 0 0 -1 0 5 4 2-3 0 0 0 6. Consider the matrix A, above. Use diagonalization to evaluate A. 7. Consider the matrix B, above. Find a diagonal matrix D, and invertible matrix P, such that BPDP-1 8. Consider the matrix C, above. Find a diagonal matrix D, and invertible matrix P, such that C = PDP-1. If this is not possible, thus the matrix is not diagonalizable, explain why. 9. Consider the...

  • Determine whether the matrix is diagonalizable. If so, find the matrix P that diagonalizes A, and...

    Determine whether the matrix is diagonalizable. If so, find the matrix P that diagonalizes A, and the diagonal matrix D so that... 5. Determine whether the matrix 0 1 3is diagonalizable. If so, find the matrix P that diagonalizes A, and the diagonal matrix D so that P-1APD.

  • Determine whether A is diagonalizable. If A is not diagonalizable, explain why nit. If A is...

    Determine whether A is diagonalizable. If A is not diagonalizable, explain why nit. If A is diagonalizable, find an invertible matrix P and a diagonal matrix D such that P'AP=D

  • 0 -3 5 6. Determine if the matrix A = -4 4 -10 is diagonalizable and...

    0 -3 5 6. Determine if the matrix A = -4 4 -10 is diagonalizable and if so 0 0 4 express this matrix in it's factorization with diagonal matrix D. A = PDP-1 F -2018

  • True or False: If A is an matrix that is both diagonalizable and invertible, then so...

    True or False: If A is an matrix that is both diagonalizable and invertible, then so is A-1. If true, briefly explain why; if false give a counterexample. Hint: consider taking the inverse of both sides of the equation A = PDP-1

  • [ 4 -1 -2] Let A= -6 3 4 8 -2 -4 so that A =...

    [ 4 -1 -2] Let A= -6 3 4 8 -2 -4 so that A = PDP-1. Find an invertible matrix P and a diagonal matrix D

  • Let matrix M = -8 -24 -12 0 4 0 6 12 10 (a) Find the...

    Let matrix M = -8 -24 -12 0 4 0 6 12 10 (a) Find the eigenvalues of M (b) For each eigenvalue λ of M, find a basis for the eigenspace of λ. (c) Is the matrix M diagonalizable? If so, find matrices D and P such that D is a diagonal matrix and M=PDP^−1. If not, explain carefully why not.

  • Let matrix M = -8 -24 12 0 4 0 6 12 10 (a) Find the...

    Let matrix M = -8 -24 12 0 4 0 6 12 10 (a) Find the eigenvalues of M (b) For each eigenvalue λ of M, find a basis for the eigenspace of λ. (c) Is the matrix M diagonalizable? If so, find matrices D and P such that D is a diagonal matrix and M=PDP−1. If not, explain carefully why not.

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT