A is an m times n matrix of rank 4. If A cont | vedclass

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(D) Given that $A$ is an $m 	imes n$ matrix of rank $4$. Since $A$ contains an $m$-th order non-singular submatrix,$A$ must be a square matrix of ord

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$4$

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(D) Given that $A$ is an $m 	imes n$ matrix of rank $4$. Since $A$ contains an $m$-th order non-singular submatrix,$A$ must be a square matrix of order $m 	imes m$. Thus,$n = m$,and the rank of $A$ is $m$. Given that the rank of $A$ is $4$,we have $m = 4$. Also,$A^T A$ is a matrix of order $n 	imes n$. Given that $A^T A$ is a $7 	imes 7$ matrix,we have $n = 7$. However,the condition that $A$ contains an $m$-th order non-singular submatrix implies that $A$ is a square matrix of size $m 	imes m$,which means $m = n$. Re-evaluating the problem statement: If $A^T A$ is $7 	imes 7$,then $n = 7$. If $A$ contains an $m$-th order non-singular submatrix,then $m$ must be equal to the rank of $A$,which is $4$. Therefore,the number of rows $m = 4$.

$A$ is an $m \times n$ matrix of rank $4$. If $A$ contains an $m$-th order non-singular submatrix and $A^T A$ is a $7 \times 7$ matrix,then the number of rows of $A$ is:

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