For this matrix A, find a diagonal matrix D and invertible matrix P with inverse P such that A = P D P > A:= ( (1, -3, 3 )|(3, -5, 3 )|(3,-3, 1)) -1 1 এ = -3 -5 -3 3 1 Since A =PD P, evaluate for A using its diagonalization

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.3: The Gram-schmidt Process And The Qr Factorization
Problem 8AEXP
icon
Related questions
Question

Evaluate for A^3 using its diagonalization

Problem 9, 5.3 Diagonalization
1
For this matrix A, find a diagonal matrix D and invertible matrix P with inverse P such that
1
A = PDP
> A:= ( (1, -3,3 )|(3, -5, 3 )|(3,-3, 1))
!!
1 3
3
-3-5 -3
3 3
1
Since A = P DP, evaluate for 4 using its diagonalization
Transcribed Image Text:Problem 9, 5.3 Diagonalization 1 For this matrix A, find a diagonal matrix D and invertible matrix P with inverse P such that 1 A = PDP > A:= ( (1, -3,3 )|(3, -5, 3 )|(3,-3, 1)) !! 1 3 3 -3-5 -3 3 3 1 Since A = P DP, evaluate for 4 using its diagonalization
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning