Matrix Singularity
Description
We can use the .is_singular() command to see if a matrix, say
(1)\begin{align} A = \begin{pmatrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{pmatrix}, \end{align}
is invertible or not. If the command returns false, the matrix is invertible, and if it returns true, then the matrix is not invertible, or singular.
Sage Cell
Code
A = matrix(QQ, [[1, 2, 3], [4, 5, 6], [7, 8, 9]])
A.is_singular()
Options
None.
Tags
CC:
Primary Tags: Linear algebra: Matrices.
Secondary Tags: Matrices: Matrix basics, Matrix inverses.
Related Cells
- Matrices in Sage. Matrices in Sage.
- Elementary Row Operations on Matrices Using Sage to perform elementary row operations.
- Augmented Matrices. Augmenting a matrix with a column vector.
- The determinant of a matrix. Taking the determinant of a matrix.
- The rank of a matrix. Calculating the rank of a matrix.
- The RREF of a matrix. Computing the RREF of a matrix.
- Finding the Pivot Columns of a Matrix. Finding the pivot columns of a matrix.
- Finding the Free Columns of a Matrix. Finding the free columns of a matrix.
- The inverse of a matrix. Computing the inverse of a matrix.
- Constructing Identity Matrices. A special command to create an identity matrix.
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Author: R. Beezer
Date: 01 Mar 2020 21:04
Submitted by: Zane Corbiere