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if a is a square matrix of order 3 having a rope of zero then the determinant of a is​

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12th

Maths

Determinants

Introduction to Determinants

If A is a square matrix of ...

MATHS

If A is a square matrix of order 3, then ∣(A−A

T

)

105

∣ is equal to

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VIDEO EXPLANATION

ANSWER

(A−A

T

)

105

=

−(A

T

−A)

105

=−

A

T

−A

105

=−

(A

T

−A)

T

105

(∵ determinant of matrix and its transpose is equal)

=−

A−A

T

105

A−A

T

105

=−

A−A

T

105

=0(∵ determinant of skew-symmetric matrix of odd order is 0.)

(A−A

T

)

105

=0

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