Question

23. Given matrix A=
[4 sin 30°
cos 0/
cos 0°
4 sin 30°]
B =[4/5]
If AX = B,
(i) write the order of matrix X.
(ii) find the matrix X'.
[2016]
​

Answer 1

Given:- $A=\left|\begin{array}{cc}4 \sin 30^{\circ} & \cos 0^{\circ} \\\cos 0^{\circ} & 4 \sin 30^{\circ}\end{array}\right|\\=B=\left(\frac{4}{5}\right)$

Now, Order of matrix A = A { no. of rows x no. of column}

$\text { Order of matrix } B=B_{2 \times 1}$

$A x=B\\A_{2 \times 2} \cdot \quad^{x_{m \times n}}=B_{2 x 1}$

Therefor , $m=2 \quad, n=1\\\text { Order of matrix } x\\\Rightarrow 2 \times 1 \text$