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The first equation is k (PQ)

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Substitute k = 2 in above matrix

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$\"\"$ (Multiply the matrix PQ elements by 2)

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

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The second equation is P(kQ)

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Substitute k = 2 in above matrix \ \

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$\"\"$ (Multiply the matrix Q elements by 2)

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

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$\"\"$ (Substitute matrix P)

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Multiply columns by rows.

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

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The solution of equation k (PQ) = P(kQ) is True.