For which value(s) of k does the system have no solution. x1 + x2 = x3 = -2 3x1 X1 522 +13x3 = 18. 2x2 + 5x3 = k 1. (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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For which value(s) of k does the system
1
have no solution.
1 2 3
4 5 6 into 0 1
789
HO
0?
0 0 1
2 3 = -2
3x15x213x3 = 18.
2x2 + 5x3 = k
(True/False) There is a sequence of elementary row operations that transforms the matrix
[100]
(True/False) Vector
01
Des
1.
(1)
2.
152
2 is a linear combination of the vectors 5 and 8
0-0
3
6
Transcribed Image Text:7 For which value(s) of k does the system 1 have no solution. 1 2 3 4 5 6 into 0 1 789 HO 0? 0 0 1 2 3 = -2 3x15x213x3 = 18. 2x2 + 5x3 = k (True/False) There is a sequence of elementary row operations that transforms the matrix [100] (True/False) Vector 01 Des 1. (1) 2. 152 2 is a linear combination of the vectors 5 and 8 0-0 3 6
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