(a) 2.. 2 1 2 5 104 1 2 1 3 5 (b) 2 12 101 24 3 515 (c) 0 1 -1 6 5 -1 7 1 -3 1 1 1 2-1 -1 1 -4 0 1 -3 Suppose the matrices in (a), (b), and (c) in the above question are the coefficient ma- trices of a system of linear equations. Assuming that each of the systems has solutions, how many free parameters must the general solution to each of the systems have?

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.CR: Review Exercises
Problem 83CR: Industrial System An industrial system has two industries with the input requirements below. (a) To...
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(a)
2.
2125
104 1
2 1 3 5
(b)
2 1 2
101
2 4 3
5 1 5
(c)
1
2
-1
0
0
-1
1 -1
5
1
-4
1 -3
6
-1 7
1 -3
1 1
Suppose the matrices in (a), (b), and (c) in the above question are the coefficient ma-
trices of a system of linear equations. Assuming that each of the systems has solutions,
how many free parameters must the general solution to each of the systems have?
Transcribed Image Text:(a) 2. 2125 104 1 2 1 3 5 (b) 2 1 2 101 2 4 3 5 1 5 (c) 1 2 -1 0 0 -1 1 -1 5 1 -4 1 -3 6 -1 7 1 -3 1 1 Suppose the matrices in (a), (b), and (c) in the above question are the coefficient ma- trices of a system of linear equations. Assuming that each of the systems has solutions, how many free parameters must the general solution to each of the systems have?
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