Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Matrix Inversion

For Students 9th - 10th Standards
Students learn how to find the inverse of a matrix. The tutorial consists of class notes, examples, and practice problems. Review exercises and a chapter quiz are included.
Handout
Purple Math

Purplemath: Matrix Inversion: Finding the Inverse of a Matrix

For Students 9th - 10th Standards
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...
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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.
Unknown Type
Khan Academy

Khan Academy: Determine Invertible Matrices

For Students 9th - 10th Standards
Given a 2x2 matrix, determine whether it has an inverse. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
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.
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Khan Academy

Khan Academy: Find the Inverse of a 2x2 Matrix

For Students 9th - 10th Standards
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.
Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Topic Summaries: Matrix Algebra

For Students 9th - 10th Standards
The topic summary outlines matrix algebra. Some topics reviewed are operations with matrices, matrix inverse, and algebra of matrices. The resource consists of definitions, notes, and examples.
Primary
J Coffman

Joseph Coffman's Lecture Notes: 2 X 2 Matrices, Determinants, Inverses

For Students 9th - 10th Standards
Learners investigate matrices, determinants, and inverses. Topics include the identity matrix and inverse of a matrix. The resource consists of examples with detailed solutions and a quiz.
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...
Handout
Wolfram Research

Wolfram Math World: Multiplicative Inverse

For Students 9th - 10th
This site explains multiplicative inverse in nonzero real and complex numbers, as well as matrices. Also discusses how to detect the multiplicative inverse of complex numbers in a table.
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.
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...
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Adding and Subtracting Matrices

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

Ck 12: Algebra: Solving Linear Systems Using Matrices and Technology

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] This lesson covers using a graphing calculator and matrices to solve a system of equations.
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.
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McGraw Hill

Glencoe: Quiz on Determinants and Multiplicative Inverses of Matrices

For Students 9th - 10th Standards
Learners demonstrate comprehension of advanced mathematical concepts in Algebra II. The questions check understanding on matrices. Topics include determinants and multiplicative inverses.
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.
Activity
Texas Instruments

Texas Instruments: Matrices and Linear Equations

For Teachers 9th - 10th Standards
This Computer Algebra System (CAS) activity encourages students to investigate addition, subtraction, and multiplication of matrices. They find the inverse of a matrix. Students also solve a set of linear equations by using matrices.
Activity
Analyze Math

Analyze Math: The Inverse of a Square Matrix

For Students 9th - 10th Standards
Learners explore the discrete mathematics topic of matrices. The tutorial demonstrates how to calculate the inverse of a square matrix. The activity includes examples with 2 by 2 and 3 by 3 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!
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Khan Academy

Khan Academy: Represent Linear Systems With Matrix Equations

For Students 9th - 10th Standards
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.
Activity
Texas Instruments

Texas Instruments: Numb3 Rs: Coded Messages

For Teachers 9th - 10th
Based off of the hit television show NUMB3RS, this lesson uses matrices (inverse and multiplication) to decode messages hidden within digital pictures -- a process known as steganography. This method of hidden communication is known to...
Activity
Interactive Mathematics

Interactive Mathematics: Finding the Inverse of a Matrix

For Students 9th - 10th Standards
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.
Handout
Varsity Tutors

Varsity Tutors: Hotmath: Inverse of a Matrix

For Students 9th - 10th Standards
Find a concise explanation of the inverse of a matrix. An example is given and clearly explained.

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