Determine if v is an eigenvector of the matrix A. Select an Answer ✓ 1. A = 500 0 -3 0 A= -6 2-1 Select an Answer ✓ 2. 17 -5 27 -17 5 -27 V= , V = 6 6 -1 -1 2

4.- From the following 3x3 matrix, obtain the characteristic polynomial, the eigenvalues and the eigenvectors. [-6 -3 -25] 1 2 A = 2 2 8 87 7

For the matrix A, find (if possible) a nonsingular matrix P such that P-1AP is diagonal. (If not possible, enter IMPOSSIBLE.) -1 0 0 2 15 501 P = A = ↓↑ Verify that P-¹AP is a diagonal matrix with the eigenvalues on the main diagonal. P-1AP =

1 Let A = 4 1 a) Write A as a product of elementary matrices. b) Using A-1, solve XA= B for the matrix X where B =(-1 2).

Consider the Matrix

[EX5 Q1 Diagonalisation] could u please answer the circled question step by step on image1? And the solution is on the image2, thx :)

(Enter each matrix in the form [[row 1], [row 2], ...], where each row is a comma-separated list.) Also when writing the answer, write it in the way that the computer/WebAssign wants thank you!

Q1. Find, for the matrix B, the eigenvalues and their corresponding eigenvectors B =[-₂ -¹3]