True or False, no explanation is required a) Determinant is only dened for squar

Question

True or False, no explanation is required

a) Determinant is only dened for square matrices
b) If two rows or columns of A are identical, then det A=0
c) If B is the matrix obtained from A by interchanging two rows (or columns), then detB = detA
d) If B is the matrix obtained from A by multiplying a row (column) of A by a scalar , then detB = detA.
e) If B is the matrix obtained from A by adding a multiple of a row to some other row, then detB = detA.
f) The determinant of a triangular matrix is the product of its diagonal entries.
g) det(AT)=-det(A)
h) det(AB ) = det(A ) det(B ).

i)  A matrix A  is invertible if and only if detA is not equal to 0.

j) If A  is an invertible matrix, then det(A-1)=1/det(A)

Explanation / Answer

b) If two rows or columns of A are identical, then det A=0

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