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: 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: Simplifying Conditions for Invertibility
A video lesson explaining that a transformation matrix is invertible if and only if it is a square identity matrix in reduced row echelon form.
Khan Academy
Khan Academy: Finding Inverses of Matrices: Formula for 2 X2 Inverse
Figuring out the formula for a 2x2 matrix. Defining the determinant.
Khan Academy
Khan Academy: Finding Inverses of Matrices: Rule of Sarrus of Determinants
A alternative "short cut" for calculating 3x3 determinants (Rule of Sarrus)
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: Basic Matrix Operations: Matrix Addition and Subtraction
Adding and subtracting matrices.
Khan Academy
Khan Academy: Inverting Matrices: Inverse of a 2 X2 Matrix
Example of calculating the inverse of a 2x2 matrix.
Other
Identity Matrix and Inverses
Explains what is meant by an identity matrix and why it is important. This is followed by a discussion of inverses. Examples and explanations are very clear. [13:45]
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: Inverting Matrices: Finding the Determinant of a 2 X2 Matrix
Hint for finding the determinant of a 2x2 matrix,
Khan Academy
Khan Academy: Properties of Matrix Multiplication: Zero Matrix
Explains what the zero matrix is and how it is used in matrix multiplication. [4:41]
Khan Academy
Khan Academy: Matrix Multiplication: Identity and Zero Matrix Equation
Models a problem where one must determine whether unknown matrices are zero or identity to make an equation true. [3:58]
Khan Academy
Khan Academy: Properties of Matrix Multiplication: Intro to Identity Matrix
Just as any number remains the same when multiplied by 1, any matrix remains the same when multiplied by the identity matrix. [7:59]
Sophia Learning
Sophia: Finding the Determinant of a 2 X 2 Matrix: Lesson 5
This lesson demonstrates how to find the determinant of a 2x2 matrix. It is 5 of 6 in the series titled "Finding the Determinant of a 2 x 2 Matrix."
Sophia Learning
Sophia: Finding the Determinant of an Inverse Matrix: Lesson 2
In this lesson students will learn how to find the determinant of an inverse matrix. It is 2 of 5 in the series titled "Finding the Determinant of an Inverse Matrix."
Sophia Learning
Sophia: Finding the Determinant of an Inverse Matrix: Lesson 4
In this lesson students will learn how to find the determinant of an inverse matrix. It is 4 of 5 in the series titled "Finding the Determinant of an Inverse Matrix."
Sophia Learning
Sophia: Using Determinants to Classify 2x2 Matrices
This lesson demonstrates how the determinant of a 2x2 matrix can be used to tell whether or not the matrix represents a dependent linear system, an inconsistent linear system, or neither.
Sophia Learning
Sophia: Verifying That Matrices Are Inverses: Lesson 3
This lesson demonstrates how to determine whether or not matrices are inverse. It is 3 of 7 in the series titled "Verifying that Matrices are Inverses."
Sophia Learning
Sophia: Verifying That Matrices Are Inverses: Lesson 7
This lesson demonstrates how to determine whether or not matrices are inverse. It is 7 of 7 in the series titled "Verifying that Matrices are Inverses."
Sophia Learning
Sophia: Verifying That Matrices Are Inverses: Lesson 1
This lesson demonstrates how to determine whether or not matrices are inverse. It is 1 of 7 in the series titled "Verifying that Matrices are Inverses."