Matrices
NCERT Class 12
CBSE
Grade 12
Question:
If $A = \begin{bmatrix} 1 & 2 & 3 \\ 2 & 3 & 1 \end{bmatrix}$ and $B = \begin{bmatrix} 3 & -1 & 3 \\ -1 & 0 & 2 \end{bmatrix}$, find $2A - B$.
Step-by-Step Solution
$2A = \begin{bmatrix} 2 & 4 & 6 \\ 4 & 6 & 2 \end{bmatrix}$. [0.5 Mark]
$2A - B = \begin{bmatrix} -1 & 5 & 3 \\ 5 & 6 & 0 \end{bmatrix}$. [1.5 Marks]
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🎯 Official CBSE Marking Scheme:
Calculating scalar product $2A$: 0.5 Mark
Evaluating matrix subtraction $2A - B$: 1.5 Marks
Correct Answer:
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