How to Find If a Matrix Is Singular

A singular matrix is a square matrix whose determinant is zero. A square matrix is one that has the same number of rows and columns. To determine whether a square matrix is singular or not, you simply need to calculate its determinant. If the value comes to zero, the matrix is singular. If the determinant results in a non-zero value, the matrix is not singular.

Instructions

    • 1

      Find out whether the matrix is a 2 by 2 matrix or a 3 by 3 matrix. A 2 by 2 matrix has two rows and two columns, whereas a 3 by 3 matrix has three rows and three columns.

    • 2

      Test a 2 by 2 matrix to see if it is singular. Use an online calculator for finding out the determinant of the 2 by 2 matrix. Simply plot the values a, b, c and d into the respective fields of the online calculator, where a and b are the values of the first row of the matrix, and c and d are the values of the second row of the matrix. Click "Enter" button to get the result. If the result comes to zero, then the matrix is singular.

    • 3

      Test a 3 by 3 matrix to see if it is singular. Calculate the determinant of the 3 by 3 matrix by plotting the values a, b, c, d, e, f, g, h and i into an online calculator, where a, b and c represent the first row of the matrix, d, e and f constitute the second row, and g, h and i denote the third row of the matrix. Click "Enter" button to get the result. If it is zero, then the matrix is singular.

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