a) Given two matrices A 1 2 3 -2 1 4 and B = 3-1 0 UTM 2) 1 0 1 1 1 2 By using Adjoint method, find A-¹. UTM 8 UTH8 UTM UTM UTM UTM ii. Use your result in part (i) to find matrix X if XA = B. UTM 8 UTM UTM b) Find all the eigenvalues of the matrix C = 0 200 M8UTM &UTM (10 2506 eigenvector corresponding to the largest eigenvalue. 11TM 3 1 ITM UTM U Hence, determine the TM UTM

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 8BEXP
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QUESTION
UTM UTM OUTL
a) Given two matrices AUTUTM UTM
2
-2 1 4 and B =
01
UTM
3
By using Adjoint method, find A-¹.
UTM OUTHOUTM
3 UTM 20 UTM UTM
1
ii. Use your result in part (i) to find matrix XUTM UTM UTM
b) Find all the eigenvalues UTM UTM
UTM
UTM UTM UTM
= B.
UTM
of the matrix C =
eigenvector corresponding to the largest eigenvalue.
0 20 UTM OU
UTM
3 1 -3
UTM
Hence, determine the TM
UTM UTM
Transcribed Image Text:QUESTION UTM UTM OUTL a) Given two matrices AUTUTM UTM 2 -2 1 4 and B = 01 UTM 3 By using Adjoint method, find A-¹. UTM OUTHOUTM 3 UTM 20 UTM UTM 1 ii. Use your result in part (i) to find matrix XUTM UTM UTM b) Find all the eigenvalues UTM UTM UTM UTM UTM UTM = B. UTM of the matrix C = eigenvector corresponding to the largest eigenvalue. 0 20 UTM OU UTM 3 1 -3 UTM Hence, determine the TM UTM UTM
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