H n A = Let - 1 2 -3 3 -1 0 T Compute the determi: on to triangular form. Determine whether th Ax = 0, has no solution

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.5: Determinants
Problem 72E
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Work Problem
You must provide a
clear and detailed solution for each question.
Question
Let
A =
-1 -3 0
2
3
2
0
3
-1
Compute the determinant of A via
a)
reduction to triangular form.
b)
Determine whether the homogeneous
system Ax = 0, has no solutions, or a unique
solution, or infinitely many solutions (only
mention and justify by few words, no need to
solve).
Transcribed Image Text:Work Problem You must provide a clear and detailed solution for each question. Question Let A = -1 -3 0 2 3 2 0 3 -1 Compute the determinant of A via a) reduction to triangular form. b) Determine whether the homogeneous system Ax = 0, has no solutions, or a unique solution, or infinitely many solutions (only mention and justify by few words, no need to solve).
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