Inverse Matrix A-1

Inverse  Matrix A-1

AA-1 = I   and A-1 A = I ?

A = \begin{bmatrix}  2 & 3\\  7&5  \end{bmatrix}

A-1 = \begin{bmatrix}  2 & 7\\  3&5  \end{bmatrix}

Note:- A-1 does not mean  \frac{1}{A}; here , A-1 is just the notation for the multiplicative inverse of matrix A. Also, only square matrices can have inverses can have inverses because both A-1 A and AA-1 must exist and be equal to I.


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