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1. Consider athe matrix -1 -4 0 -4) A = 2 -8 0 8 (a) Describe all solutions of the homogeneous equation Af = õ in parametric vector form. (b) Let 5 be a vector in R. Suppose we know that is a solution to the matrix equation Ai = 6. Describe all solutions of the equation Af = 6 in parametric vector form.

1. Consider athe matrix -1 -4 0 -4) A = 2 -8 0 8 (a) Describe all solutions of the homogeneous equation Af = õ in parametric vector form. (b) Let 5 be a vector in R. Suppose we know that is a solution to the matrix equation Ai = 6. Describe all solutions of the equation Af = 6 in parametric vector form.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Consider athe matrix A= ( ) -1 -4 0 -4 2 -8 0 8 Describe all solutions of the homogeneous equation Af = 0 in parametric vector (a) form. () (b) Let & be a vector in R. Suppose we know that is a solution to the 2 matrix equation Až = 6. Describe all solutions of the equation A = 5 in parametric vector form.
Transcribed Image Text:1. Consider athe matrix A= ( ) -1 -4 0 -4 2 -8 0 8 Describe all solutions of the homogeneous equation Af = 0 in parametric vector (a) form. () (b) Let & be a vector in R. Suppose we know that is a solution to the 2 matrix equation Až = 6. Describe all solutions of the equation A = 5 in parametric vector form.
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