Identity Matrices
Description
We can use the identity_matrix() command to create an identity matrix of any dimension, say
(1)\begin{align} I = \begin{pmatrix} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{pmatrix}, \end{align}
Sage Cell
Code
id3 = identity_matrix(QQ, 3)
id3Options
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.
- The determinant of a matrix. Taking the determinant of a matrix.
- The product of two matrices. Calculating the product of two matrices.
- 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.
- Testing a Matrix for Singularity. Testing a given matrix to see if it is singular (noninvertible).
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Author: R. Beezer
Date: 01 Mar 2020 21:11
Submitted by: Zane Corbiere