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DETERMINANTS — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsDETERMINANTS1 Mark
MCQ
Find the value of x, if $\begin{bmatrix}2&5\\3&\text{x}\end{bmatrix}=\begin{bmatrix}\text{x}&-1\\5&3\end{bmatrix}$ is:
  • ✓
    20
  • B
    -20
  • C
    30
  • D
    -30
✓

Answer

Correct option: A.
20
$\begin{bmatrix}2&5\\3&\text{x}\end{bmatrix}=\begin{bmatrix}\text{x}&-1\\5&3\end{bmatrix}$

$\Rightarrow2\text{x}-15=3\text{x}+5 $

$\Rightarrow\text{x}=-20$

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