5. The elementary row operation E52(-3) was applied to a matrix A obtaining a matrix B. Which elementary row operation must be applied to B to get back A? (a) E25 (3) (b) E25(-3) (c) Es2(3) (d) Es2(-3) 6. The linear system below has infinitely many solutions. x1 – 2x2 + x3 – x4 = 2 X1 + x2 + x3 – X4 = 2 X1 + x3 – x4 = 2 How many free variables does it have? (a) 1 (b) 2 (c) 3 (d) 4

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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5. The elementary row operation E32(-3) was applied to a matrix A obtaining a matrix B. Which
elementary row operation must be applied to B to get back A?
(a) E25(3)
(b) Езs(—3)
(c) Es2(3)
(d) Es2(-3)
6. The linear system below has infinitely many solutions.
x1 – 2x2 + x3 – X4 = 2
x1 + x2 + x3 – X4 = 2
x1
+ x3 – x4 = 2
How many free variables does it have?
(a) 1
(b) 2
(c) 3
(d) 4
Transcribed Image Text:5. The elementary row operation E32(-3) was applied to a matrix A obtaining a matrix B. Which elementary row operation must be applied to B to get back A? (a) E25(3) (b) Езs(—3) (c) Es2(3) (d) Es2(-3) 6. The linear system below has infinitely many solutions. x1 – 2x2 + x3 – X4 = 2 x1 + x2 + x3 – X4 = 2 x1 + x3 – x4 = 2 How many free variables does it have? (a) 1 (b) 2 (c) 3 (d) 4
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