Posted by katy on Wednesday, December 16, 2009 at 8:30pm.
Why is (AB)^1 = B^1A^1 in matrices, and not (AB)^1 = A^1B^1

math  Marth, Wednesday, December 16, 2009 at 9:13pm
let A be an m by n matrix and B be a n by p matrix. Then A*B is defined. Also, A^1 is an n by m matrix, and B^1 is an p by n matrix. So B^1 * A^1 is also defined, but A^1 * B^1 may not be.
Or, in other words, the commutative property of scalar multiplication does not apply to matrices.
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