^{-1}is Matrices obtained by changing rows and columns is called Then show that there exists a nonzero 3×3 matrix B such that AB=O,where O is the 3×3zero matrix. Since A is 5x5, det(-A) = -det(A). Definition of nonsingular matrix is given. Example: Determine the value of b that makes matrix A singular. matrix is singular. 10. If A is an nxn matrix, then det(-A) = (-1)^n det(A). Hence, option B. December 30, 2019 Toppr. A matrix is singular if and only if its determinant is zero. See also. We prove that if A is a nonsingular matrix, then there exists a nonzero matrix B such that the product AB is the zero matrix. How to Identify If the Given Matrix is Singular or Nonsingular - Practice questions. A matrix is said to be singular if the value of the determinant of the matrix is zero. – Justin Peel May 31 '12 at 3:37. Example: Determine the value of b that makes matrix A singular. Please submit your feedback or enquiries via our feedback page Matrices More On singular Matrices On... 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