Question
Given matrix $A =\left[\begin{array}{c}4 \sin 30^{\circ}, \cos 0^{\circ} \\ \cos 0^{\circ}, 4 \sin 30^{\circ}\end{array}\right]$ and $B=\left[\begin{array}{l}4 \\ 5\end{array}\right]$ If $AX = B$. Write the order of matrix $X$.
✓
Answer
Given $A=\left[\begin{array}{l}4 \sin 30^{\circ}, \cos 0^{\circ} \\ \cos 0^{\circ}, 4 \sin 30^{\circ}\end{array}\right]$ and $B=\left[\begin{array}{l}4 \\ 5\end{array}\right]$
Let the order of matrix $X = m \times n$
Order of matrix $A = 2 \times 2$
Order of matrix $B = 2 \times 1$
Now, $AX = B$
$\therefore m = 2$ and $n = 1$
Thus, order of matrix $X = m \times n = 2 \times 1$
Let the order of matrix $X = m \times n$
Order of matrix $A = 2 \times 2$
Order of matrix $B = 2 \times 1$
Now, $AX = B$
$\therefore m = 2$ and $n = 1$
Thus, order of matrix $X = m \times n = 2 \times 1$
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