Answer
The ij-th entry in the matrix $cA$ = ij-th entry in the matrix A, multiplied by the scalar c
Work Step by Step
$M_{ij}$ is the element of matrix M at its ith row, jth column.
or, as we say in short, the ij-th entry.
$(cA)_{ij}$ = ij-th entry in the matrix $cA$
$c(A_{ij})$ = ij-th entry in the matrix A, multiplied by the scalar c
$(cA)_{ij}=c(A_{ij})$ means that
ij-th entry in the matrix $cA$ = ij-th entry in the matrix A, multiplied by the scalar c
($cA$ is the $m\times n$ matrix obtained by multiplying all the entries of $A$ by $c)$
