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Question

If A=[aij] is scalar matrix of order n×n such that aij=k for all i, then |A| equals

A
nk
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B
n+k
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C
nk
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D
kn
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Solution

The correct option is D kn
For scalar matrix ∣ ∣ ∣ ∣ ∣ ∣ ∣⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢K00000K00000K0K0K000000K⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥n×n∣ ∣ ∣ ∣ ∣ ∣ ∣
=Kn
Ans: D

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