) Let A, B be matrices with real coefficients. (a) Find A and B such that AB is defined and BA is not. (b) Find A and B such that AB and BA are defined but have different dimensions. (c) Find square A and B such that (A+ B)² + A² + 2AB + B². (d) Find two non-zero square matrices A and B such that AB = 0.

Q: if A and B are matrices and K is a scalar

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A: Let A be an 4×5 matrix and B be a 5×3 matrix. Then the product AB and BA are defined. We have to…

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A: Let A and B be    orthogonal matrices.We have to show that AB is an orthogonal matrix.We know thatA…

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A: True

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A: Solution

Q: Let A.3 be 5x5 matrices such that det (A) = 7 and det(A)=-3. Find the following (1) det(2(A^B)')…

A: if A is an n×n matrix and det(A)=a thendet(kA)=kn×adet(A-1)=1adet(AT)=adet(adj A)=an-1

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A: Let order of A is mxnAnd let order of B is nxp (because product of AB is defined)

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