Khan Academy
Khan Academy: Linear Algebra: Determinant of a Transpose
Video demonstrating that the determinant of a matrix is equivalent to the determinant of the transpose of a matrix. Proof by induction is used to prove this property. [14:10]
Khan Academy
Khan Academy: Linear Algebra: Formula for 2 X 2 Inverse
A video lesson in which a formula is derived for finding the inverse of a 2 x 2 matrix. Addresses that a 2 x 2 matrix is only invertible if the determinant is not equal to 0. Defines the determinant and shows two examples of calculating...
Khan Academy
Khan Academy: Pre Calculus: Complex Determinant Example
A video showing the step-by-step solution to a difficult determinant problem from the IIT-JEE. This is problem 53 from Paper 1 of the 2010 exam. A 3 X 3 matrix is given in terms of z and omega, where omega is defined as a complex number...
Khan Academy
Khan Academy: Linear Algebra: Inverse Matrix (Part 1)
Video first explains and gives examples of identity matrices. Then explains what an inverse matrix is and shows how to calculate the inverse of a 2x2 matrix. [14:14]
Sophia Learning
Sophia: Finding the Determinant of a 4x4 Matrix: Lesson 4
In this lesson, students will learn how to find the determinant of a 4x4 matrix. It is 4 of 6 in the series titled "Finding the Determinant of a 4x4 Matrix."
Sophia Learning
Sophia: Finding the Determinant of a 4x4 Matrix: Lesson 5
In this lesson, students will learn how to find the determinant of a 4x4 matrix. It is 5 of 6 in the series titled "Finding the Determinant of a 4x4 Matrix."
Sophia Learning
Sophia: Finding the Determinant of a 4x4 Matrix: Lesson 6
In this lesson, students will learn how to find the determinant of a 4x4 matrix. It is 6 of 6 in the series titled "Finding the Determinant of a 4x4 Matrix."
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]
Khan Academy
Khan Academy: More Determinant Depth: Duplicate Row Determinant
A video lesson proving that if a matrix has duplicate rows then its determinant will be 0.
Khan Academy
Khan Academy: More Determinant Depth: Determinant After Row Operations
A video showing what happens to the determinant when we perform a row operation.
Khan Academy
Khan Academy: More Determinant Depth: Simpler 4 X4 Determinant
This video, shows how to calculate a 4x4 determinant by putting in in upper triangular form first.
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: 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: More Determinant Depth: Upper Triangular Determinant
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
Khan Academy
Khan Academy: More Determinant Depth: (Correction) Scalar Multiplication of Row
Correction of last video showing that the determinant when one row is multiplied by a scalar is equal to the scalar times the determinant
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: 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.
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,