# Vector Spaces : Rank

Please see the attached file for the full problem description.

1. Find the rank of A= [1 0 2 0]

[ 4 0 3 0]

[ 5 0 -1 0]

[ 2 -3 1 1] . Show work.

Help:

[1 0 2 0]

[ 4 0 3 0]

[ 5 0 -1 0] : is a 4 x 4 matrices

[ 2 -3 1 1]

https://brainmass.com/math/vector-calculus/vector-spaces-rank-12705

#### Solution Preview

Rank of a matrix is equal to the number of linearly independent rows in the matrix

Notice, (1) the number of linearly independent rows is always equal to the number of linearly independent rows;

2) columns (rows) are linearly dependent if one ...

#### Solution Summary

The rank of a vector matrix is found. The solution is detailed and well presented.

$2.19