Question:medium

If A and B are square matrices of size $n \times n$, then which of the following statement is not true.

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Determinants play well with multiplication ($\times$), but they are "broken" by addition ($+$).

Updated On: Jul 3, 2026

$\det(AB) = \det(A)\det(B)$
$\det(kA) = k^{n}\det(A)$
$\det(A + B) = \det(A) + \det(B)$
$\det(A^{T}) = \det(A)$

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The Correct Option is C

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