for a square matrix A and a nonsingular matrix be of the same order the value of determinant (b^-1 ab)is
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If B is a non-singular matrix and A is a square matrix then det(B
−1
AB) is equal to
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ANSWER
det(B
−1
AB)=?
Where A is a square matrix.
and B is non-singular matrix, so B is invertible and a square matrix.
det(B
−1
AB)
=det(B
−1
BA)
=det(I
n
A) ( where I
n
is an identity matrix of order n )
=det(A)
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