Matrix Rank

Description

The rank of a matrix is the dimension of the row space of the matrix. For example, the matrix

(1)
\begin{align} A= \begin{pmatrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{pmatrix} \end{align}

has rank 2.

Sage Cell

Code

A = Matrix([[1,2,3],[4,5,6],[7,8,9]]);
A.rank()

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Tags

Primary Tags: Linear Algebra: Matrices.

Secondary Tags: Matrices: Rank.

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Date: 22 Aug 2018 15:15

Submitted by: Tom Judson

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