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2. Suppose A is an m x n matrix and B is an m x q matrix. (a) What relationship, if any, exists between
2. Suppose A is an m x n matrix and B is an m x q matrix. (a) What relationship, if any, exists between RREF(A) and RREF([ A B ]) in general? (b) What relationship, if any, exists between RREF (B) and RREF([AB]) in general? (c) What relationship, if any, exists between RREF([AB]) and RREF([BA]) in general? For any relationship that you find, justify why it holds in general. 3. Suppose A is an m x n matrix and C is a q x n matrix. (a) What relationship, if any, exists between RREF(A) and RREF (b) What relationship, if any, exists between RREF(C) and RREF (c) What relationship, if any, exists between RREF =([A]) For any relationship that you find, justify why it holds in general. A ([^]) in general? ([^]) A in general? and RREF ([2]) in in general?
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Applied Linear Algebra
Authors: Peter J. Olver, Cheri Shakiban
1st edition
131473824, 978-0131473829
