Inverse Matrix Teacher Resources
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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: Showing That a Transpose X a Is Invertible
A video lesson proving that the product of a matrix and its transpose is invertible if all of the columns of the originial matrix are linearly independent. [12:34]
Other
Metal: Matrices [Pdf]
The resource is a lesson guide that teaches the basic mathematical concepts needed for teaching economics and financial economics. Topics include matrix transposition, matrix inversion, and operations with matrices. Applications of Excel...
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]
Purple Math
Purplemath: Matrix Inversion: Finding the Inverse of a Matrix
Inverse matrices are very useful for solving matrix equations. But, given a matrix, how do you invert it? How do you find the inverse? The technique for inverting matrices is kind of clever. For a given matrix A and its inverse A-1, we...
Khan Academy
Khan Academy: Find the Inverse of a 2x2 Matrix
Find the inverse matrix of a given 2x2 matrix. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
Ministerio de Educacion, Cultura y Deporte (Spain)
Cnice: Algebra Matricial
Presented in Spanish. Example problems and explanations of matrices and subtopics such as adding, subtracting, and multiplying matrices, and inverse matrices. Does provide some solutions.
Other
Stat Soft: Statistics Glossary
Dozens of statistical terms are defined and illustrated in this glossary.
Khan Academy
Khan Academy: Showing That Inverses Are Linear
Showing that inverse transformations are also linear.
CK-12 Foundation
Ck 12: Algebra: Adding and Subtracting Matrices
[Free Registration/Login may be required to access all resource tools.] This lesson covers adding and subtracting matrices with the same dimensions. Students can watch a video tutorial, explore guided notes and then attempt practice...
Varsity Tutors
Varsity Tutors: Hotmath: Inverse of a Matrix
Find a concise explanation of the inverse of a matrix. An example is given and clearly explained.
Interactive Mathematics
Interactive Mathematics: Multiplication of Matrices
A demonstration of matrix multiplication is presented through several detailed examples. Explanations of how the commutative law works only on the identity and inverse matrices are also included.
Khan Academy
Khan Academy: Finding Inverses of Matrices: Example of Finding Matrix Inverse
Example of calculating the inverse of a 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 Matrices: Inverting Matrices (Part 3)
Using Gauss-Jordan elimination to invert a 3x3 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]
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."
Khan Academy
Khan Academy: Represent Linear Systems With Matrix Equations
Represent systems of two linear equations with matrix equations by determining A and b in the matrix equation A*x=b. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
Interactive Mathematics
Interactive Mathematics: Finding the Inverse of a Matrix
Two methods are demonstrated for finding the inverse of a matrix. The examples are detailed and easy to follow. Several interactive examples are also provided.