Problem #4: Let A = 6 -1 -1 6 -1 -1 -1 6 (a) Find a matrix P that orthogonally diagonalizes A. (b) Find B = P-¹AP using the (correct) answer from (a). Enter the diagonal entries of B, in order, into the answer box below. i.e., enter b11, b22, b33 (in that order).
Problem #4: Let A = 6 -1 -1 6 -1 -1 -1 6 (a) Find a matrix P that orthogonally diagonalizes A. (b) Find B = P-¹AP using the (correct) answer from (a). Enter the diagonal entries of B, in order, into the answer box below. i.e., enter b11, b22, b33 (in that order).
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 22EQ: Consider the matrix A=[2314]. Show that any of the three types of elementary row operations can be...
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Question
![Problem #4: Let
6
A = -1
-1
6 −1
-1 6
(a) Find a matrix P that orthogonally diagonalizes A.
(b) Find B = P-¹AP using the (correct) answer from (a). Enter the diagonal entries of B, in order, into the
answer box below. i.e., enter b11, b22, b33 (in that order).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff316efbb-9e65-469e-bdde-f3c49a257ac3%2Fadca49b5-e088-40ee-b148-f515d9e9c2ea%2F01zi45_processed.png&w=3840&q=75)
Transcribed Image Text:Problem #4: Let
6
A = -1
-1
6 −1
-1 6
(a) Find a matrix P that orthogonally diagonalizes A.
(b) Find B = P-¹AP using the (correct) answer from (a). Enter the diagonal entries of B, in order, into the
answer box below. i.e., enter b11, b22, b33 (in that order).
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