If A = 2 & 3 6 & x , B = 2 & 3 p & 2 and A = B, t… - Vidyadip

MCQ

If $\text{A} = \begin{bmatrix} 2 &\text{amp; } 3\\ 6 &\text{amp; x} \end{bmatrix}, \text{B} = \begin{bmatrix} 2 &\text{amp; 3}\\ \text{p} &\text{amp; }2 \end{bmatrix}$ and $\text{A} = \text{B}, $ then $\text{p}$ and $ \text{x} $ are:

A
$p = 6, x = 4$
B
$p = 3, x = 4$
C
$p = 4, x = 3$
✓
$p = 6, x = 2$

✓

Answer

Correct option: D.

$p = 6, x = 2$

Weve, two matrices will be same, if the given two matrices have same number of rows and columns and each elements of that two matrices are same.
Now equating the given two matrices we get$, 6 = p$ and $x = 2.$

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