Discuss the conditions of symmetric

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Reference no: EM131529817

Question: 1. If AB = AC, where A is a square matrix, when does it necessarily follow that B = C? Give an example in which this does not follow.

2. A and B are symmetric matrices. Show that AB is also symmetric if and only if A and B are commutative.

3. If A is a square matrix, the matrix obtained by replacing each element of A by its cofactor and then transposing the resulting matrix is known as the ad joint of A and is denoted by Adj(A).

Reference no: EM131529817

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