Question 4 a) Show that det A = 0, regardless of the five nonzeros marked by "x". X- A = |0 01 X- b) Obtain the reduced row echelon form of C, then compute its determinant. Is C a singular matrix? 2 31 [1 C = 15 4 4 4 7]

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 22EQ
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Question 4
a) Show that det A = 0, regardless of the five nonzeros marked by “x".
a-E
A = |0
x-
b) Obtain the reduced row echelon form of C, then compute its determinant. Is C a singular
matrix?
2 31
[1
C = |4
15
4 4
6 7
Transcribed Image Text:Question 4 a) Show that det A = 0, regardless of the five nonzeros marked by “x". a-E A = |0 x- b) Obtain the reduced row echelon form of C, then compute its determinant. Is C a singular matrix? 2 31 [1 C = |4 15 4 4 6 7
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