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Zero and identity matrices

There are distinctive types of matrices depending on their elements.

  • A zero matrix is a matrix with zeroes everywhere.
  • An identity matrix is a square matrix with ones on the main diagonal (upper left to lower right) and zeroes off the diagonal. This matrix is usually given the symbol $$I$$.

Examples of a zero matrix and an identity matrix.

$$$ \begin{pmatrix}0&0\\0&0\\0&0 \end{pmatrix},\quad \begin{pmatrix}1&0&0\\0&1&0\\0&0&1\end{pmatrix}. $$$