CUET Preparation Today
The value of $\begin{bmatrix}a_1x_1+b_1y_1 & a_1x_2+b_1y_2 & a_1x_3+b_1y_3\\a_2x_1+b_2y_1 & a_2x_2+b_2y_2 & a_2x_3+b_2y_3\\a_3x_1+b_3y_1 & a_3x_2+b_3y_2 & a_3x_3+b_3y_3\end{bmatrix}$, is |
$a_1a_2b_1b_2b_3$ $x_1x_2x_3y_1y_3y_3$ 0 none of these |
0 |
The correct answer is option (3) : 0 $\begin{bmatrix}a_1x_1+b_1y_1+0 & a_1x_2+b_1y_2+0 & a_1x_3+b_1y_3+0\\a_2x_1+b_2y_1+0 & a_2x_2+b_2y_2+0 & a_2x_3+b_2y_3+0\\a_3x_1+b_3y_1+0 & a_3x_2+b_3y_2+0 & a_3x_3+b_3y_3+0\end{bmatrix}=0$ [Using row-by-row multiplication] $\begin{bmatrix}a_1x_1+b_1y_1 & a_1x_2+b_1y_2 & a_1x_3+b_1y_3\\a_2x_1+b_2y_1 & a_2x_2+b_2y_2 & a_2x_3+b_2y_3\\a_3x_1+b_3y_1 & a_3x_2+b_3y_2 & a_3x_3+b_3y_3\end{bmatrix}=0$ |
