If , Find the value of x.

Engineering

Mathematics

Introduction to Matrix

Algebra of Matrices

Multiplication of Matrices

Question

If $[\begin{array}{cc} 2 x & 3 \end{array}] [\begin{array}{cc} 1 & 2 \\ - 3 & 0 \end{array}] [\begin{array}{c} x \\ 8 \end{array}] = 0$ , Find the value of x.

LiveFree JEE Main Previous Year Online Papers Live Free JEE Advance Previous Year Online Papers

College PredictorLive

Know your College Admission Chances Based on your Rank/Percentile, Category and Home State.

Get your JEE Main Personalised Report with Top Predicted Colleges in JoSA

We have

[\begin{array}{cc} 2 x & 3 \end{array}] [\begin{array}{cc} 1 & 2 \\ - 3 & 0 \end{array}] [\begin{array}{c} x \\ 8 \end{array}] = 0

\Rightarrow [\begin{array}{cc} 2 x - 9 & 4 x \end{array}] [\begin{array}{c} x \\ 8 \end{array}] = 0

⇒ [2x² – 9x + 32x] = [0]

⇒ [2x² + 23x] = [0]

⇒ 2x² + 23x = 0

Or x(2x + 23) = 0

\Rightarrow x = 0, x = \frac{- 23}{2}