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If A = kB for square matrices of order n, then det A equals:
An times det
Bdet B by k
Ck^n det B
Dk det B on
Answer & Solution
Correct answer: C. k^n det B
1. Each of the n rows is multiplied by k.
2. Each row contributes one factor of k.
3. So det A equals k to the power n times det B.
4. The answer is k^n det B.
_Source: NCERT Class 12 Mathematics, Ch 4 'Determinants'_
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