Math, asked by ishaansinha6168, 11 months ago

Prove product of invertible matrices is invertible

Answers

Answered by tiraa9

Answer:

A is singular and thus non-invertible iff det(A)=0. Lets assume A is singular. Thus, det(AB) = 0. Thus, if product of two matrices is invertible (determinant exists) then it means that each matrix is indeed invertible

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