Let A and B be nonsingular matrices of the same order. Show that AB is nonsigular and (AB)^-1 = B^-1 * A^-1 Hint: Multiply by AB Any advice...I don't know how to show this Thanks.
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Originally Posted by jzellt Let A and B be nonsingular matrices of the same order. Show that AB is nonsigular and (AB)^-1 = B^-1 * A^-1 Hint: Multiply by AB Any advice...I don't know how to show this Thanks. HI Let Similarly , Since For both cases ,
Hello jzellt Originally Posted by jzellt Let A and B be nonsingular matrices of the same order. Show that AB is nonsigular and (AB)^-1 = B^-1 * A^-1 Hint: Multiply by AB Any advice...I don't know how to show this Thanks. mathaddict has given you the proof that . The first part of the proof (that is non-singular) is very straightforward: and are non-singular and But is non-singular Grandad
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