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-- Mathematics - Section B1
Matrices
If $A=\begin{bmatrix}n&0&0\\0&n&0\\0&0&n\end{bmatrix}$ and $B=\begin{bmatrix}a_1&a_2&a_3\\b_1&b_2&b_3\\c_1&c_2&c_3\end{bmatrix}$, then $AB$ is equal to
$B$
$nB$
$B^n$
$A+B$
We have, $A =nI_3$
$∴AB=(nI_3) B=n (I_3 B) =nB$.