Rank of 3×3 Matrix
What is Rank of a Matrix?
The rank of a matrix is referred to as the number of non-zero rows or columns in the matrix.
How to Find Rank of 3×3 Matrix?
To find the rank of 3×3 matrix we use three methods:
- Rank with minors
- Rank with Echelon form
- Rank with normal form
What is an Example of a 3×3 Matrix with Rank 2?
An example of a 3×3 Matrix with rank 2 is: A = [Tex]\begin{bmatrix} 5& 0 &0\\ 1&5 &6\\ 0&0&0 \end{bmatrix} [/Tex]
Can a 3×3 Matrix have a Rank of 3?
Yes, a 3×3 matrix can have rank of 3 if Det(matrix) is not equal to zero.
How to Find Rank of a 3×3 Matrix
Rank of a matrix is equal to the number of linear independent rows or columns in it. The rank of the matrix is always less than or equal to the order of the matrix.
In this article we will explore how to find rank of 3×3 matrix in detail along with the basics of the rank of a matrix.
Table of Content
- What is Rank of a Matrix?
- How to Find Rank of a 3×3 Matrix
- Solved Examples on Rank of 3×3 Matrix
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