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Which of the following statements are true about inverse matrices?

All square matrices have inverses.

If A and B are inverse matrices, then A and B must be square matrices.

The determinant of a singular matrix is equal to zero.

If A and B are inverse matrices, then A + B = I.

If A and B are inverse matrices, then det(A)xde(B)=0

Any zero matrix does not have an inverse.

If B = A–1, then A = B–1.​