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Matrices
NCERT Class 12
CBSE
Grade 12

Question:

For what values of $x$ is $\begin{bmatrix} 1 & 2 & 1 \end{bmatrix} \begin{bmatrix} 1 & 2 & 0 \\ 2 & 0 & 1 \\ 1 & 0 & 2 \end{bmatrix} \begin{bmatrix} 0 \\ 2 \\ x \end{bmatrix} = O$?

Step-by-Step Solution

$\begin{bmatrix} 6 & 2 & 4 \end{bmatrix} \begin{bmatrix} 0 \\ 2 \\ x \end{bmatrix} = [4 + 4x] = [0]$. [1.0 Mark]
$4 + 4x = 0 \Rightarrow x = -1$. [1.0 Mark]

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🎯 Official CBSE Marking Scheme:
Evaluating first row-matrix product: 1.0 Mark
Solving $x = -1$: 1.0 Mark

Correct Answer:
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