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: Basic Matrix Operations: Introduction to the Matrix
A video introducing matrices.
Khan Academy
Khan Academy: Orthogonal Complements: Dim(v) + Dim(orthogonal Complement of V)=n
Showing that if V is a subspace of Rn, then dim(V) + dim(V's orthogonal complement) = n
Khan Academy
Khan Academy: Finding the Determinant of a 3 X3 Matrix Method 2
This video shows how to find the determinant of a thre by three matrix.
Khan Academy
Khan Academy: Finding the Determinant of a 3 X3 Matrix Method 1
A video showing how to find the determinant of a 3 x 3 matrix.
Khan Academy
Khan Academy: Calculating Matrix of Minors and Cofactor Matrix
Inverting a 3x3 matrix then calculate the matrix of minors and the cofactor matrix.
Sophia Learning
Sophia: Introduction to Matrices and Their Dimensions
This video resource introduces matrices and describes how to determine their dimensions as well as name elements.
Sophia Learning
Sophia: Scalar Multiplication
Explore how to multiply matrices using scalar multiplication and then assess learning with a quiz. [6:23]
Khan Academy
Khan Academy: Inverting Matrices: Inverse of a 2 X2 Matrix
Example of calculating the inverse of a 2x2 matrix.
Khan Academy
Khan Academy: Showing That Inverses Are Linear
Showing that inverse transformations are also linear.
Khan Academy
Khan Academy: Linear Transformations as Matrix Vector Products
A video showing how any linear transformation can be represented as a matrix vector product.
Khan Academy
Khan Academy: Defining a Plane in R3 With a Point and Normal Vector
This video shows the equation for a plane in R3 using a point on the plane and a normal vector.
Khan Academy
Khan Academy: Inverting 3 X3 Part 2: Determinant and Adjugate of a Matrix
This is part two of video about 3x3 matrix inversion.
Khan Academy
Khan Academy: More on Matrix Addition and Scalar Multiplication
Video shows that the sum of two linear transformations is the sum of their transformation matrices and the scalar multiple of a transformation is the scalar multiple of the transformation matrix.
Khan Academy
Khan Academy: Alternate Basis Transformation Matrix Example Part 2
Showing that the transformation matrix with respect to basis B actually works. Brief point on why someone would want to operate in a different basis to begin with.
Khan Academy
Khan Academy: Alternate Basis Transformation Matrix Example
Example of finding the transformation matrix for an alternate basis.
Sophia Learning
Sophia: Dot Products: Lesson 2
This lesson introduces the concept of a dot product and its relationship to matrix operations. It is 2 of 6 in the series titled "Dot Products."
Sophia Learning
Sophia: Finding the Dot Product: Lesson 2
This lesson goes over the steps for finding the dot product of a matrix. It is 2 of 7 in the series titled "Finding the Dot Product."
Sophia Learning
Sophia: Finding the Dot Product: Lesson 3
This lesson goes over the steps for finding the dot product of a matrix. It is 3 of 7 in the series titled "Finding the Dot Product."
Sophia Learning
Sophia: Finding the Dot Product: Lesson 5
This lesson goes over the steps for finding the dot product of a matrix. It is 5 of 7 in the series titled "Finding the Dot Product."
Sophia Learning
Sophia: Finding the Dot Product: Lesson 6
This lesson goes over the steps for finding the dot product of a matrix. It is 6 of 7 in the series titled "Finding the Dot Product."
Sophia Learning
Sophia: Finding the Dot Product: Lesson 1
This lesson goes over the steps for finding the dot product of a matrix. It is 1 of 7 in the series titled "Finding the Dot Product."
Sophia Learning
Sophia: Matrices
This lesson will introduce matrices and how to determine their dimensions.