Let A be a square matrix. (a) Suppose that the homogeneous system Ax = 0 has a
Question:
(a) Suppose that the homogeneous system Ax = 0 has a nontrivial solution x = u. Show that u is an eigenvector of A?
(b) Suppose that 0 is an eigenvalue of A and v is an associated eigenvector. Show that the homogeneous system Ax = 0 has a nontrivial solution?
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a Since Au 0 0u it follows that 0 ...View the full answer
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Related Book For 
Elementary Linear Algebra with Applications
ISBN: 978-0132296540
9th edition
Authors: Bernard Kolman, David Hill
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