Math 115

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Please note there I made a mistake yesterday for the following problem at 45:29-48:25. Although it can be true that if A and B are invertible I’ll then (A+B) is invertible, it is not generally true. Here is a counter example :

A=[ 1 0; 0 1], B=[0 1; 1 0]. The det(A)=/0 and det(B)=/0 but the det(A+B)=0.

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