The matrix B was row reduced by the following operations 3R₁ → R₁ (row one was scaled by 3) a. b. R3 <> R₂ (row three swapped with row 2) c. 2R₁ + R₂ → R₂ (2 times Row 1 was added to Row 2 and stored in Row 2), 4 7 resulting in the following triangular matrix: B~C, where C= 0 3 0 What is the determinant of matrix B? not of C, but of B) -1

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 22EQ: Consider the matrix A=[2314]. Show that any of the three types of elementary row operations can be...
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The matrix B was row reduced by the following operations
3R₁ → R₁ (row one was scaled by 3)
a.
b.
c.
R3 <> R₂ (row three swapped with row 2)
2R₁ + R₂ → → R₂ (2 times Row 1 was added to Row 2 and stored in Row 2),
24 7
6
resulting in the following triangular matrix: B~C, where C = 0 3
00
What is the determinant of matrix B?
not of C, but of B)
Transcribed Image Text:The matrix B was row reduced by the following operations 3R₁ → R₁ (row one was scaled by 3) a. b. c. R3 <> R₂ (row three swapped with row 2) 2R₁ + R₂ → → R₂ (2 times Row 1 was added to Row 2 and stored in Row 2), 24 7 6 resulting in the following triangular matrix: B~C, where C = 0 3 00 What is the determinant of matrix B? not of C, but of B)
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