Matrices
NCERT Exemplar Class 12
CBSE
Grade 12
Question:
If $A = \begin{bmatrix} 3 & -3 \\ -3 & 3 \end{bmatrix}$ and $A^2 = k A$, then $k$ is equal to:
(a) $6$
(b) $3$
(c) $12$
(d) $-6$
Step-by-Step Solution
A^2 = [[18,-18],[-18,18]] = 6 A \implies k = 6. [1.0 Mark]
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🎯 Official CBSE Marking Scheme:
Selecting $6$: 1.0 Mark
Correct Answer: $6$
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