State whether the following statement is true or false: If A is a matrix and K is a constant, then (KA)T = KAT

Question 27 of 34

(KA)^T = KA^T

Maharashtra MsbshseMaharashtra HSC (MSBSHSE) Board 2025Subjective· 1mImportance★★★★★

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A scalar factors out of a transpose, so $(KA)^T = KA^T$ — the statement is true.

One of the standard properties of the transpose is that for a scalar (constant) $K$ and a matrix $A$ ,

$(KA)^T = K\,A^T.$

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Q.State whether the following statement is true or false:
If A is a matrix and K is a constant, then $(KA)^T = KA^T$