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Statement-1 (Assertion and Statement- 2 ...

Statement-1 (Assertion and Statement- 2 (Reason)
Each of these questions also has four alternative
choices, only one of which is the correct answer. You
have to select the correct choice as given below.
Statement-1 The determinant fo a matrix `A= [a_(ij)] _(nxxn), `
where `a_(ij) + a_(ji) = 0 ` for all `i` and `j` is zero.
Statement- 2 The determinant of a skew-symmetric
matrix of odd order is zero.

A

Statement- is true, Statement -2 is true, Statement-2
is a correct explanation for Statement-1

B

Statement-1 is true, Statement-2 is true, Sttatement - 2
is not a correct explanation for Stamtement-1

C

Statement 1 is true, Statement - 2 is false

D

Statement-1 is false, Statement-2 is true

Text Solution

Verified by Experts

The correct Answer is:
A
`because A^(T) =-A `
`rArr abs(A^(T))=abs(-A)`
` = (-1)^(5)abs(A) = -abs(A)`
`rArr abs(A)=-abs(A)`
` rArr 2 abs(A) = 0`
` therefore abs(A) = 0`
Both Statements are true but Statement -2 is a correct
eqplanation of Statement-1.
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