if det(A)=0 , then AB is singular

Question # 00183206 Posted By: shri21 Updated on: 01/31/2016 03:57 AM Due on: 01/31/2016
Subject Statistics Topic Matrix Theory Tutorials:
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Prove the following:

1- if det(A)=0 , then AB is singular .

2- if A and B are invertible then AB is invertible . with (AB)^-1 = B^-1 A^-1

3- if A is invertible and B , C are inverses of A , the B=C .

4- if A is invertible then det (A^-1)= 1/det (A) .

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  1. Tutorial # 00178010 Posted By: shri21 Posted on: 01/31/2016 03:58 AM
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    The solution of if det(A)=0 , then AB is singular...
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