4 0 -2 Diagonalize C=125 4|ifpossible, or state why it is not diagonalizable. 3. lo 0...
Question 5. (a) Diagonalize the matrix S = [1 0 -11 -1 2-1 and calculate A100. 1-2 0 0 (b) Diagonalize the matrix A and find a matrix B so that B2 = A. (2 007 (c) Show that the matrix H = 3 2 0 is not diagonalizable. How many linearly independent eigen- LO O 3] vectors does H have?
Diagonalize a. b. c. d. e. f. Diagonalize A A = 1 3 4 2 a. A = PDP-1 b. A = PDP-1 1 Р 1 1 OC. A = PDP-1 -1 3 P = 2 5 d. A = PDP-1 -3 1 P= -4 1 e. A = PDP-1 1 -1 P 3 1 Of A = PDP-1 P-[31] -- [6-2] [37] - [64] P=[ +3 z] --[: = D = 10 03
16. Diagonalize the following matrices if possible. (If not possible explain why not) Then compute A2. (Use the diagonal matrix to do the computation if A was diagonalizable) One of the Eigen-values is provided to get you started. A= [-2 3 1-9 10 -1 15 4 -2 10. 2=4
Given that A = 54 0 LO 3 -2 3 0] 0 has eigenvalues 11 = –2 and 12 = 4 and 4] 1 a basis for Exy is 1-2 %. 1] Choose ALL the statement(s) that are ALWAYS TRUE. = -2 are O A is NOT diagonalizable since the algebraic multiplicity and the geometric multiplicity of x different. A is NOT diagonalizable since the algebraic multiplicity and the geometric multiplicity of 12 = 4 are different. O A is...
4 00] 2) Diagonalize matrix1 4 0, if possible. 00 5
/ 4 100 (12 pts.) Let A=| 0 -1 0). If it is possible to diagonalize A, find P and D such that A = PDP-1. 0 0 4 If it is not possible to diagonalize A, explain why not.
DETAILS LARLINALG8 7.R.019. Explain why the matrix is not diagonalizable. 200 A= 1 2 0 0 0 2 A is not diagonalizable because it only has one distinct eigenvalue. A is not diagonalizable because it only has two distinct eigenvalues. A is not diagonalizable because it only has one linearly independent eigenvector. A is not diagonalizable because it only has two linearly independent eigenvectors.
e Diagonalize the matrices and compute A and B10. 「3000 2 2 A=1141| and B=10200 1 0 0 3 e Diagonalize the matrices and compute A and B10. 「3000 2 2 A=1141| and B=10200 1 0 0 3
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
13-15 please! 13. a 14. 15. 0 Find the eigenspaces of A = 0 1 -1 Then diagonalize A if you can. LO 0 1 b Determine values a, b, c for matrix A = 0 -2 c to be diagonalizable. LO 0 1) For nxn matrix A and B, true or false? a. A is diagonalizable if the sum of geometric multiplicities of the eigenvalues is n b. If A is invertible, the only real eigenvalues are 1 and...