🔷12 - Rank and Nullity of a given Matrix (Row Echelon Form)
In todays video we are going to learn how to find the rank and nullity of a matrix.
Rank: the rank of a matrix is the maximum number of linearly independent row or column vectors in a matrix.
Given a matrix, it is advisable to transform the matrix into its row echelon form. In the row echelon form, the maximum number of linearly independent vectors is equal to the number of non-zero rows.
Nullity: of a matrix is equal to the number of columns minus the rank of the matrix
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00:00 - Example 1
07:47 - Example 2
15:08 - Example 3