Matrix Frame Reference, B relative to A

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Matrix A is [0 1 0, 0 0 1, 1 0 0], Matrix B is [ 1 0 0, 0 0 1, 0 -1 0]. I need to get another Matrix the same size that is B relative to A. I at first inverted B and then multiplied it by A as that seemed to be the way to do it from the textbook, but that didn't work. How do I find B relative to A?
 

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