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Maths-

General

Easy

Question

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

nk
n + k
n^k
kⁿ

hint Hint:

$T h e space t r a c e space o f space a space s q u a r e space m a t r i x space i s space d e f i n e d space t o space b e space t h e space s u m space o f space t h e space d i a g o n a l space e l e m e n t s. space t h e r e f o r e comma space t r a c e space left parenthesis A right parenthesis equals space sum from i equals 1 to n of a subscript i i end subscript space equals sum from i equals 1 to n of k equals n k.$

The correct answer is: kⁿ

we are given that A is scalar matrix and we need to find |A|

Therefore the correct answer is choice 4

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