Finding Basis for the Row Space of a Matrix | Linear Algebra

We use elementary row operations to reduce a matrix to row echelon form in order to find a basis for the row space. After completing this process, the nonzero rows in the echelon form (which are also those with leading 1s) will form a basis for the row space. Thus, the number of row vectors that are nonzero and make up the basis also define the dimension of the row space and hence the rank of the matrix. #linearalgebra #matrices

Find Rank of a Matrix:    • How to Find the Rank of a Matrix (wit...  
Finding Basis for the Column Space of a Matrix:    • Finding Basis for the Column Space of...  

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