3Blue1Brown
Inverse matrices, column space and null space | Essence of linear algebra, chapter 7
How do you think about the column space and null space of a matrix visually? How do you think about the inverse of a matrix?
Curated Video
What is a Matrix Inverse?
In this video, we define inverse matrices and investigate some of their properties.
Zach Star
The Applications of Matrices - What I wish my teachers told me way earlier
This video goes over just a few applications of matrices that may give you some insight into how they can be used in the real world. Linear algebra was never explained well to me in school and I had very little motivation to learn...
Khan Academy
Khan Academy: Linear Algebra: Deriving a Method for Determining Inverses
An instructional video that explains how the method for finding the inverse transformation matrix is derived. It is the same method for finding the inverse for any invertible matrix. [18:00]
Khan Academy
Khan Academy: Linear Algebra: Showing That Inverses Are Linear
A video lesson that gives an in-depth, algebraic proof showing that the inverse of a linear transformation is also linear. [21:25]
Khan Academy
Khan Academy: Linear Algebra: Inverting Matrices (Part 3)
Video shows how to determine the inverse of a 3 by 3 matrix using the Gauss-Jordan elimination method. This video also appears in the strand Algebra: Matrices. [13:35]
Khan Academy
Khan Academy: Linear Algebra: Example of Finding Matrix Inverse
A video lesson that works through a concrete example to find the inverse of a 3 x 3 matrix. The original matrix is augmented by the identity matrix and then put in reduced row echelon form. The result of the row operations on the...
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 by 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: Singular Matrices
Video explains why a matrix is singular if its determinant is 0. Illustrates that when a matrix equation is built with a singular matrix, then there are no solutions because the system it represents is that of two parallel lines. Shows...
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]
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: 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: 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: Showing That Inverses Are Linear
Showing that inverse transformations are also linear.
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: Zero Determinant: Lesson 3
This lesson goes over matrices with a determinant of zero. It is 3 of 7 in the series titled "Zero Determinant." [2:14]