Instructional Video
Khan Academy

Khan Academy: Null Space and Column Space: Column Space of a Matrix

9th - 10th
A video introducing the column space of a matrix.
Instructional Video
Khan Academy

Khan Academy: Linear Algebra: Visualizing a Column Space as a Plane in R3

9th - 10th
Video reviews how to find a basis for the column space and talks about how to find it more efficiently using reduced row echelon form. Shows a visualization of the column space in R3 as a plane. Shows two methods to determine the...
Instructional Video
Khan Academy

Khan Academy: Linear Algebra: Visualizing a Column Space as a Plane in R3

9th - 10th
Video reviews how to find a basis for the column space and talks about how to find it more efficiently using reduced row echelon form. Shows a visualization of the column space in R3 as a plane. Shows two methods to determine the...
Instructional Video
Khan Academy

Khan Academy: Calculating the Null Space of a Matrix

9th - 10th
This video calculates the null space of a matrix.
Instructional Video
Khan Academy

Khan Academy: Showing Relation Between Basis Cols and Pivot Cols

9th - 10th
This video shows that linear independence of pivot columns implies linear independence of the corresponding columns in the original equation.
Instructional Video
Khan Academy

Khan Academy: Visualizing a Column Space as a Plane in R3

9th - 10th
A video demonstrating working with matrices.