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![If [math]A[/math] and [math]B[/math] are two invertible matrices of the same order, then how can I prove that [math](AB)^{-1}=B^{-1}A^{-1}[/math]? - Quora](https://qph.cf2.quoracdn.net/main-qimg-da6ca456a38e948908176db1128d33ea.webp "If [math]A[/math] and [math]B[/math] are two invertible matrices of the same order, then how can I prove that [math](AB)^{-1}=B^{-1}A^{-1}[/math]? - Quora")
If [math]A[/math] and [math]B[/math] are two invertible matrices of the same order, then how can I prove that [math](AB)^{-1}=B^{-1}A^{-1}[/math]? - Quora
SOLVED: Our definition of an invertible matrix requires that A be a square n x n matrix. Let's examine what happens when A is not square. For instance, suppose that B = [
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