Inverse Matrix Teacher Resources

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Worksheet
Curated OER

Academic Algebra 2 Test

For Students 11th
In this algebra worksheet, 11th graders rewrite word problems using algebraic expressions. They solve problems using systems of equations. There are 14 problems on this worksheet.
Worksheet
Curated OER

Linear Systems: Matrix Inverse

For Students 11th - Higher Ed
In this linear systems worksheet learners multiply matrices and find the coefficient matrix in the upper-triangular form. This four-page worksheet contains approximately four problems, with examples and explanations.
Instructional Video
Khan Academy

Khan Academy: Linear Algebra: Inverse Matrix (Part 1)

For Students 9th - 10th Standards
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]
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Identity and Inverse Matrices

For Students 9th - 10th Standards
Sixteen problems present a variety of practice working with identity and inverse matrices. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View...
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Inverse Matrices

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] This lesson covers finding the inverse of a 2 x 2 matrix. Students can look at guided notes and then attempt practice problems.
Instructional Video
Sophia Learning

Sophia: Finding the Determinant of an Inverse Matrix: Lesson 2

For Students 9th - 10th Standards
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."
Instructional Video
Sophia Learning

Sophia: Finding the Determinant of an Inverse Matrix: Lesson 4

For Students 9th - 10th Standards
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."
Unit Plan
CK-12 Foundation

Ck 12: Inverse Matrices

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] A collection of resources that teaches students that the zero and identity matrices play a role in matrix addition and multiplication similar to the role of 0 and 1...
Unknown Type
Khan Academy

Khan Academy: Determine Inverse Matrices

For Students 9th - 10th Standards
Given a pair of matrices, determine whether they are inverses of each other. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
Handout
Other

Morgan State: Linear Algebraic Equations and Matrices

For Students 9th - 10th Standards
This site gives information on linear equations and matrices. Among the topics discussed are the substitution method, Gauss-Jordan Elimination Method, matrix operations, matrix multiplication, and inverse matrices.
Handout
Cool Math

Coolmath: Inverse Matrices

For Students 9th - 10th Standards
You can add and subtract matrices, multiply a matrix by a scalar, and multiply two matrices. So, what about division? Well, there isn't a division process for matrices. See this example for how to get around this problem!
Whiteboard
ClassFlow

Class Flow: Inverse Matrices and Systems

For Teachers 9th - 10th Standards
[Free Registration/Login Required] This flipchart shows students how to solve systems of equations using inverse matrices for real-world problem situations.
Activity
Texas Instruments

Texas Instruments: Determinants and Inverse Matrices

For Teachers 9th - 10th Standards
In these questions, students are asked to find the determinant and the inverse of four 2 x 2 matrices. These multiple choice questions have solutions provided.
Instructional Video
Khan Academy

Khan Academy: Linear Algebra: Inverting Matrices (Part 2)

For Students 9th - 10th Standards
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:...
Instructional Video
Khan Academy

Khan Academy: Linear Algebra: Singular Matrices

For Students 9th - 10th Standards
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...
Instructional Video
Khan Academy

Khan Academy: Linear Algebra: Inverting Matrices (Part 3)

For Students 9th - 10th Standards
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]
Instructional Video
Khan Academy

Khan Academy: Linear Algebra: Inverting Matrices (Part 2)

For Students 9th - 10th Standards
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:...
Instructional Video
Khan Academy

Khan Academy: Linear Algebra: Inverting Matrices (Part 2)

For Students 9th - 10th Standards
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:...
Instructional Video
Khan Academy

Khan Academy: Inverting Matrices: Inverting Matrices (Part 2)

For Students 9th - 10th Standards
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.
Instructional Video
Khan Academy

Khan Academy: Linear Algebra: Singular Matrices

For Students 9th - 10th Standards
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]
Instructional Video
Khan Academy

Khan Academy: Linear Algebra: Inverting Matrices (Part 3)

For Students 9th - 10th Standards
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]
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Writing and Solving a Matrix Equation

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] This lesson covers using a matrix equation to solve a system of linear equations.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Cramer's Rule

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] This lesson covers solving systems of equations using Cramer's Rule.
Instructional Video
Khan Academy

Khan Academy: Linear Algebra: Deriving a Method for Determining Inverses

For Students 9th - 10th Standards
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]

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