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the types of identity matrix

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The identity matrix (often denoted with a capital I) of a particular size is unique. In other words, there is only one 2x2 identity matrix (often denoted I sub 2.) However there is a different identity matrix for every size where the number of rows and columns are equal (called square matrices.) However you can still (almost) think of the identity matrix as unique because these different size matrices don't interact with each other. For instance, you can't multiply a 2x2 matrix with I sub 3.

An identity matrix is a square matrix that has all elements 0, except the elements in the diagonal from upper left to lower right, is all the number 1,so there are many starting with a 2x2 up to an nxn.

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