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🔷12 - Rank and Nullity of a given Matrix (Row Echelon Form)
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🔷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
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
Visit channel Playlist for more videos on Engineering mathematics, applied electricity and Basic Mechanics.
Kindly support and Subscribe
Thank you
00:00 - Example 1
07:47 - Example 2
15:08 - Example 3
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🔷12 - Rank and Nullity of a given Matrix (Row Echelon Form)
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