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Identity matrix

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The identity matrix of size n is an n\times n square matrix where all of the values in its main diagonal are ones and all other values are zeroes. Alternatively, an identity matrix is a square diagonal matrix whose diagonal is one in every position. For example, the identity matrix of size 3 is

\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\end{bmatrix}

The identity matrix of size n is the identity element of all invertible matrices of size n\times n .

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