Let 1 A = 1 0 2 1 0 11 0 0; B = 1 1. 1 -1 1 2 0 0 a) Find 2ABT - 4BA-¹, if possible. A if it exists. 3 b) Find the inverse matrix of B and c) Find the determinant of matrix AB, (AB)-¹ if it exists. d) Find matrix X such that AX = B, BXA = I, XA = B.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Matrices And Determinants
Section: Chapter Questions
Problem 11CC
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Let
[1 2 1]
2 1
[PD
1 0; B 1 -1
LO 0 1.
LO
A = 1
1
0
a) Find 2ABT – 4BA¯¹, if possible.
b) Find the inverse matrix of B and A if it exists.
3
2
c) Find the determinant of matrix AB, (AB)-¹ if it exists.
d) Find matrix X such that AX = B, BXA = 1, XA = B.
Transcribed Image Text:Let [1 2 1] 2 1 [PD 1 0; B 1 -1 LO 0 1. LO A = 1 1 0 a) Find 2ABT – 4BA¯¹, if possible. b) Find the inverse matrix of B and A if it exists. 3 2 c) Find the determinant of matrix AB, (AB)-¹ if it exists. d) Find matrix X such that AX = B, BXA = 1, XA = B.
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