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If a square matrix A has NO inverse then it is called a singular matrix .

Given a n x n matrix A, if there exists an inverse (A -1 ) of matrix A then A A -1 = A -1 A = I n. If a square matrix A has NO inverse then it is called a singular matrix. If a square matrix has an inverse it is called a nonsingular matrix.

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If a square matrix A has NO inverse then it is called a singular matrix .

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  1. Given a n x n matrix A, if there exists an inverse(A-1 ) of matrix A then A A-1 = A-1 A = In

  2. If a square matrix A has NO inverse then it is called a singularmatrix.

  3. If a square matrix has an inverse it is called a nonsingular matrix

  4. Cofactor expansion- Let A = [Aij] be a matrix of order n x n where n > 2. The determinant of A denoted detA is the sum of the entries in any row or column multiplied by their respective cofactors.

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