$\"\"$

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The matrices are $\"\"$ .

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The product of two matrices to be defined, the number of columns of the first matrix must equal the number of rows of the second matrix.

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The order of matrix A is $\"\"$ and B is $\"\"$ the product is possible.

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The product of AB order is $\"\"$ .

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(a) AB

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$\"\"$

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$\"\"$

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$\"\"$ (Simplify) $\"\"$

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(b) BA

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The order of matrix B is $\"\"$ and A is $\"\"$ the product is possible.

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The order of BA order is $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ (Simplify)

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(c) $\"\"$

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The order of matrix A is $\"\"$ and A is $\"\"$ the product is not possible. $\"\"$

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The solutions are AB $\"\"$ , BA $\"\"$ and $\"\"$ is not possible.