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(D) The trace of a square matrix $A$,denoted by $t_r(A)$,is defined as the sum of its diagonal elements.Properties of the trace include:$1$. $t_r(A +

Vedclass · Accepted Answer

$t_r(AB) 
e t_r(BA)$

Vedclass · Answer

(D) The trace of a square matrix $A$,denoted by $t_r(A)$,is defined as the sum of its diagonal elements.Properties of the trace include:$1$. $t_r(A + B) = t_r(A) + t_r(B)$,which is true.$2$. $t_r(\alpha A) = \alpha t_r(A)$,which is true for any scalar $\alpha \in R$.$3$. $t_r(A^T) = t_r(A)$,which is true because the diagonal elements remain unchanged under transposition.$4$. $t_r(AB) = t_r(BA)$ is a fundamental property of the trace of products of matrices. Therefore,the statement $t_r(AB) 
e t_r(BA)$ is incorrect.

Identify the incorrect statement in respect of two square matrices $A$ and $B$ conformable for sum and product.

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