Identity Matrix

Identity Matrix

If I is a the identity matrix, both of the products AI and IA must equal A.

This means that an identity matrix exists only for square matrices. The 2 x 2 identity matrix that satisfies these conditions is

I =  \begin{bmatrix}  1 & 0\\  0 & 1  \end{bmatrix}.

To check that I, as defined above, is really the 2 x 2 identity.


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