1.

Metrix properties

Answer»
  • In a square matrix, the number of rows and columns are equal.
  • A square matrix is a diagonal matrix in which non-diagonal elements are zeroes.
  • A square matrix is a scalar matrix in which the non-diagonal elements are zeroes, and diagonal elements are the same.
  • A matrix in which all non-diagonal elements are zeroes and diagonal elements are 1s is said to be an identity matrix.
  • A matrix is a symmetric matrix if A=AT
  • A matrix is skew-symmetric if A=–AT
  • A matrix is an orthogonal matrix; if A×AT=I
  • A matrix is said to be a singular matrix, if |A|=0
  • A matrix is said to be idempotent, if A2=A.
  • A matrix is said to be involutory, if A2=I


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