Question 2 Let A = B = 20 -38---- 0 (i) Is B a left inverse of A? Justify your answer. (ii) Find all left inverses of A, by letting L :] You need to use elementary row operations, row echelon form, the reduced row echelon form. (iv) a b c be the left inverse. Is Aru consistent? If yes, find the solution; if no, explain why. Is Arv consistent? If yes, find the solution; if no, explain why.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 13E
Question
Please do it all parts.show clear neat handwriting
Question 2
H
V=
Let A =
(iv)
1
2-1
B =
1-38], "
U=
(i)
Is B a left inverse of A? Justify your answer.
a b c
(ii)
Find all left inverses of A, by letting L=
be the left inverse.
You need to use elementary row operations, row echelon form, the reduced row echelon
2
form.
Is Ar = u consistent? If yes, find the solution; if no, explain why.
Is Ar = v consistent? If yes, find the solution; if no, explain why.
Transcribed Image Text:Question 2 H V= Let A = (iv) 1 2-1 B = 1-38], " U= (i) Is B a left inverse of A? Justify your answer. a b c (ii) Find all left inverses of A, by letting L= be the left inverse. You need to use elementary row operations, row echelon form, the reduced row echelon 2 form. Is Ar = u consistent? If yes, find the solution; if no, explain why. Is Ar = v consistent? If yes, find the solution; if no, explain why.
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