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What is the identity matrix for subtraction?

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May 28, 2015

Assuming we're talking about 2x2 matrices, the identity matrix for subtraction is the same as that for addition, namely:

$(0, 0)$ $(0, 0)$
$(0, 0)$ $(0, 0)$

The identity matrix for multiplication and division is:

$(1, 0)$ $(1, 0)$
$(0, 1)$ $(0, 1)$

There are analogous matrices of larger size, consisting of all $0$ $0$ 's or all $0$ $0$ 's except for a diagonal of $1$ $1$ 's.

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