# Matrices : Rank

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A, B and C are matrices. What are their ranks?

A)

1 2

3 4

5 6

B)

1 1

1 1

C)

3 3

7 7

11 11

https://brainmass.com/math/linear-algebra/matrices-rank-33018

#### Solution Preview

If you consider the rows of an m x n matrix as vectors in R^n, they span a subspace called the row space of the matrix. The dimension of this space is called the "row rank" of the matrix. Similarly, if you consider the columns as vectors in R^m, they also span a subspace of R^m called the column space, and the dimension ...

#### Solution Summary

The ranks of three matrices are found. The solution is detailed. The response was given a rating of "5" by the student who originally posted the question.

$2.49