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Question

State true or false

|KA|=Kn|A|,n= order of A.

A
True
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B
False
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Solution

The correct option is A True
when we multiply any sealer entity 'k' with
matrix 'A' then every element of A is multiplies
by A.
while finding determinant a sealer entity is
taken common from either row or column
then
det(KA) = K.K.K...n times det (A)
|KA|=Kn|A|

1112035_1200526_ans_d7d49959ef544b7a8cf9e0e1cb78ca8b.jpg

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