The following linear system of equationsis given.x, yand zare unknowns. 2z + y − x = 5 2x + 3y + 4z= -1 −4x −  y= 11 Calculate the inverseof eigenvector matrixby Gauss Jordan elimination and show that the coefficient matrix, A, is equal to P.D.P-1, its eigendecomposed version.

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
Question

The following linear system of equationsis given.x, yand zare unknowns.

2z + y − x = 5

2x + 3y + 4z= -1

−4x −  y= 11

Calculate the inverseof eigenvector matrixby Gauss Jordan elimination and show that the coefficient matrix, A, is equal to P.D.P-1, its eigendecomposed version.

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