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Matrices
NCERT Class 12
CBSE
Grade 12
Question:
Find the values of $x$ and $y$ from the equation: $2 \begin{bmatrix} x & 5 \\ 7 & y-3 \end{bmatrix} + \begin{bmatrix} 3 & -4 \\ 1 & 2 \end{bmatrix} = \begin{bmatrix} 7 & 6 \\ 15 & 14 \end{bmatrix}$.
Step-by-Step Solution
$2x + 3 = 7 \Rightarrow x = 2$. [1.0 Mark]
$2y - 4 = 14 \Rightarrow y = 9$. [1.0 Mark]
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🎯 Official CBSE Marking Scheme:
Evaluating $x = 2$: 1.0 Mark
Evaluating $y = 9$: 1.0 Mark
Correct Answer:
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