Question

Diagonalize the matrix A = [6 -8, 4 -6] by writing it as A = PDP^-1 The result of multiplying your previous answers is: [0 0, -4 4] P = [ _] , D = [ ], P^-1 = [ ]

Name: diagonalize the matrix a 6 8 4 6 by writing it as a pdp 1 the result of multiplying your previous answers is 0 0 4 4 p d p 1 06458
Uploaded: 2022-11-20T14:06:47-08:00
Duration: 4 min 48 s
Channel: Sri K
Description: diagonalize the matrix a 6 8 4 6 by writing it as a pdp 1 the result of multiplying your previous answers is 0 0 4 4 p d p 1 06458

          Diagonalize the matrix
A = [6 -8, 4 -6]
by writing it as A = PDP^-1
The result of multiplying your previous answers is: [0    0, -4   4]
P = [ _____] , D = [ ____], P^-1 = [ ____]

Added by Danielle P.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Sri K

11/20/2022

Step 1

To find the eigenvalues, we solve the characteristic equation det(A - λI) = 0, where A is the given matrix, λ is the eigenvalue, and I is the identity matrix. det(A - λI) = det([6 -8, 4 -6] - λ[1 0, 0 1]) det(A - λI) = det([6-λ -8, 4 -6-λ]) det(A - λI) = Show more…

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Diagonalize the matrix A = [6 -8, 4 -6] by writing it as A = PDP^-1 The result of multiplying your previous answers is: [0 0, -4 4] P = [ _____] , D = [ ____], P^-1 = [ ____]