Virtual Nerd
Virtual Nerd: What Is the Commutative Property of Matrix Addition?
This tutorial explains the Commutative Property of Matrix Addition. [7:07]
Virtual Nerd
Virtual Nerd: How Do You Multiply a Matrix by a Scalar?
To multiply a matrix by a scalar, just multiply each element in the matrix by the scalar. View this tutorial to see the entire process. [2:28]
Virtual Nerd
Virtual Nerd: How Do You Find the Determinant of a 2x2 Matrix?
This tutorial illustrates an example of how to find the determinant of a 2x2 matrix. [3:37]
Virtual Nerd
Virtual Nerd: What Is a Coefficient Matrix?
Provides an introduction to coefficient matrices and illustrates how to make one. [5:49]
Khan Academy
Khan Academy: Changing Coordinate Systems to Help Find a Transformation Matrix
Changing our coordinate system to find the transformation matrix with respect to standard coordinates
Khan Academy
Khan Academy: Change of Basis: Alternate Basis Transformation Matrix Example
Example of finding the transformation matrix for an alternate basis.
Khan Academy
Khan Academy: Matrices: Reduced Row Echelon Form 2
This video shows an example of solving a system of linear equations by putting an augmented matrix into reduced row echelon form.
Khan Academy
Khan Academy: Invertible Change of Basis Matrix
Using an invertible change of basis matrix to go between different coordinate systems.
Khan Academy
Khan Academy: Linear Algebra: Inverting Matrices (Part 3)
Video shows using the Gauss-Jordan elimination method to determine the inverse of a 3 by 3 matrix. This video also appears in the strand Algebra: Matrices. [13:35]
Khan Academy
Khan Academy: Inverting Matrices: Inverting Matrices (Part 3)
Using Gauss-Jordan elimination to invert a 3x3 matrix.
Khan Academy
Khan Academy: Transformation Matrix With Respect to a Basis
Finding the transformation matrix with respect to a non-standard basis.
Khan Academy
Khan Academy: Transpose of a Matrix: Rowspace and Left Nullspace
Students explore transformations of matrices, rowspace and nullspace by watching a video tutorial.
Khan Academy
Khan Academy: Finding Inverses of Matrices: Example of Finding Matrix Inverse
Example of calculating the inverse of a matrix
Khan Academy
Khan Academy: Linear Algebra: Inverting Matrices (Part 2)
Video example of finding the inverse of a 3 by 3 matrix. Includes using expansion of minors to determine the determinant and finding the matrix of cofactors and adjugate or adjoint matrix. This video also appears in the strand Algebra:...
Khan Academy
Khan Academy: Linear Algebra: Inverting Matrices (Part 2)
Video example of finding the inverse of a 3 by 3 matrix. Includes using expansion of minors to determine the determinant and finding the matrix of cofactors and adjugate or adjoint matrix. This video also appears in the strand Algebra:...
Khan Academy
Khan Academy: Inverting Matrices: Inverting Matrices (Part 2)
Inverting a 3x3 matrix. This video includes using expansion of minors to determine the determinant and finding the matrix of cofactors and adjugate or adjoint matrix.
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.
Khan Academy
Khan Academy: Transpose of a Matrix: Transpose of a Matrix Product
This videos shows how to take the transpose of the product of two matrices.
Khan Academy
Khan Academy: Linear Algebra: Singular Matrices
Video explains why a matrix is singular if its determinant is 0. Relates why the inverse does not exist to solving systems of linear equations and vector combinations. This video also appears in the strand Algebra: Matrices. [14:27]
Khan Academy
Khan Academy: Inverting Matrices: Singular Matrices
Video explains why a matrix is singular if its determinant is 0. Relates why the inverse does not exist to solving systems of linear equations and vector combinations.
Khan Academy
Khan Academy: More Determinant Depth: Determinant When Row Is Added
A video lesson explaining the determinant rule for the very special case when three matrices are identical except for one row, and that row of the third matrix is the sum of those rows in the other two matrices.
Khan Academy
Khan Academy: Transformations and Matrix Multiplication: Matrix Product Examples
Students explore matrix transformations by examining an example of taking the product of two matrices.
Khan Academy
Khan Academy: Transpose of a Matrix: Determinant of Transpose
This videos offers a proof by induction that transposing a matrix does not change its determinant.
Khan Academy
Khan Academy: Any Subspace Basis Has Same Number of Elements
Video shows proof that any basis of a particular subspace has the same number of elements. Leads up to give the definition of dimension.