Consider the linear system 3x1 -6x2 +3x3 +9x4 3 2x1 -3x2 +3x3 +4x4 4 -3x1 +7x2 -2x3 -10x4 1 -2 1 1 The REF of the augmented matrix is: 1 1 2 1 OTrue OFalse x1 and a4 are the leading variables, while x2 and æz are the free variables OTrue OFalse The solution set is {(5 – 3a, a, 2 – a, 0), Va E R} OTrue OFalse
Consider the linear system 3x1 -6x2 +3x3 +9x4 3 2x1 -3x2 +3x3 +4x4 4 -3x1 +7x2 -2x3 -10x4 1 -2 1 1 The REF of the augmented matrix is: 1 1 2 1 OTrue OFalse x1 and a4 are the leading variables, while x2 and æz are the free variables OTrue OFalse The solution set is {(5 – 3a, a, 2 – a, 0), Va E R} OTrue OFalse
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CT: Test
Problem 15CT
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