diagonal matrix

A square matrix in which all entries outside the main diagonal are zero, used in linear algebra and various mathematical applications.

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1. Square matrix with zero off-diagonal entries C2 formal

   A square matrix in which all entries outside the main diagonal are zero. The main diagonal entries can be any number, including zero.

   • The identity matrix is a special case of a diagonal matrix where all diagonal entries are 1.
   • In linear algebra, a diagonal matrix is often used to represent scaling transformations.
   • The eigenvalues of a diagonal matrix are simply its diagonal entries.

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