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Khan Academy
Khan Academy: Linear Algebra: Dimension of the Null Space or Nullity
Video reviews how to find the null space of a matrix using reduced row echelon form. Shows that the vectors of the null space are linearly independent and form a basis for the null space. Extends this to show how the nullspace can be...
Khan Academy
Khan Academy: Linear Algebra: Determining Whether a Transformation Is Onto
Video reviews from previous videos that a function is invertible if and only if it is onto and one-to-one. Shows how to determine if a linear transformation is onto by showing that the columns of the transformation matrix span the...
Khan Academy
Khan Academy: Linear Algebra: Rank(a) = Rank (Transpose of A)
A video lesson showing why the rank of a matrix is the equal to the rank of that matrix's transpose. [11:13]
Khan Academy
Khan Academy: Linear Algebra: Rank(a) = Rank (Transpose of A)
A video lesson showing why the rank of a matrix is the equal to the rank of that matrix's transpose. [11:13]
Khan Academy
Khan Academy: Transpose of a Matrix: Rank(a) = Rank(transpose of A)
On this video tutorial students explore the rank of a matrix and the rank of the transpose.