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Suppose that the augmented matrix for a linear system in the unknowns x1, x2, 23, X4 and x, have been reduced by elementary row operations to 1 0. -2 -3 0 a 1 7 3 - a 0 0 0. 1 31 – 5a 0 0 2a 7 (a) Given that this linear system is consistent, find the value of a. (b) Solve the system.

Suppose that the augmented matrix for a linear system in the unknowns x1, x2, 23, X4 and x, have been reduced by elementary row operations to 1 0. -2 -3 0 a 1 7 3 - a 0 0 0. 1 31 – 5a 0 0 2a 7 (a) Given that this linear system is consistent, find the value of a. (b) Solve the system.

Algebra for College Students
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 14CT
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Suppose that the augmented matrix for a linear system in the unknowns x1, x2, X3, X4 and x5 have been reduced by elementary row operations to |1 0 -2 –3 0 а 0 1 4 7 3 – a 0 0 1 31 – 5a 0 0 2а — 7 (a) Given that this linear system is consistent, find the value of a. (b) Solve the system.
Transcribed Image Text:Suppose that the augmented matrix for a linear system in the unknowns x1, x2, X3, X4 and x5 have been reduced by elementary row operations to |1 0 -2 –3 0 а 0 1 4 7 3 – a 0 0 1 31 – 5a 0 0 2а — 7 (a) Given that this linear system is consistent, find the value of a. (b) Solve the system.
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