Finding the transformation matrix with respect to a non-standard basis.

Students explore transformations of matrices, rowspace and nullspace by watching a video tutorial.

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:...

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:...

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.

A video introducing the column space of a matrix.

On this video tutorial students explore the rank of a matrix and the rank of the transpose.

This videos shows how to take the transpose of the product of two 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]

A video lesson proving that the determinant of an upper triangular matrix is the product of the all of the entries along the main diagonal

Students explore matrix transformations by examining an example of taking the product of two matrices.

This videos offers a proof by induction that transposing a matrix does not change its determinant.

A video introducing matrices.

Showing that if V is a subspace of Rn, then dim(V) + dim(V's orthogonal complement) = n

This video shows how to find the determinant of a thre by three matrix.

A video showing how to find the determinant of a 3 x 3 matrix.

Inverting a 3x3 matrix then calculate the matrix of minors and the cofactor matrix.

This video resource introduces matrices and describes how to determine their dimensions as well as name elements.

Explore how to multiply matrices using scalar multiplication and then assess learning with a quiz. [6:23]

Example of calculating the inverse of a 2x2 matrix.

Showing that inverse transformations are also linear.

A video showing how any linear transformation can be represented as a matrix vector product.

This video shows the equation for a plane in R3 using a point on the plane and a normal vector.

This is part two of video about 3x3 matrix inversion.