Worksheet
Curated OER

Linear Systems: Matrix Inverse

For Students 11th - Higher Ed
In this linear systems worksheet students multiply matrices and find the coefficient matrix in the upper-triangular form. This four-page worksheet contains approximately four problems, with examples and explanations.
Worksheet
Curated OER

Linear Systems: LU Decomposition

For Students 12th - Higher Ed
In this LU decomposition instructional activity, students multiply matrices, identify the elimination matrices, and the inverse of a matrix. This three-page instructional activity contains approximately six problems.
Worksheet
Curated OER

Matrices

For Students 11th
In this Algebra II learning exercise, 11th graders solve problems that involve matrix representation, matrix operations, solving systems with inverse matrices, row reduction, and systems of inequalities. The six page learning exercise...
Worksheet
Curated OER

Academic Algebra II Test Chapter 4, Part 2

For Students 9th - 12th
In this test of knowledge learning exercise, students answer 2 story problems, they solve 6 systems of equations. Students multiply 2 maxrix sets. They determine the inverse of two matrices. Students determine the linear regression line...
Lesson Plan
Curated OER

Matrices In Encryption And Decryption Of Codes

For Teachers 10th - 12th
Students relate Cryptography to the solving of simultaneous linear equations in matrix notation. They explore various methods of encrypting and decrypting codes. Pupils discuss and solve simultaneous linear equations.
Worksheet
Curated OER

Linear Systems: The Matrix Inverse

For Students Higher Ed
In this matrix inverse worksheet, students identify a matrix which when multiplied by a coefficient matrix, it transforms into an identify matrix. They use the Gauss-Jordan elimination process to find an inverse matrix. This four-page...
Worksheet
Curated OER

Linear Systems Review Problems

For Students Higher Ed
In this linear systems worksheet, students identify the requirements for two linear systems to have at least one solution. They find a matrix with no zero entries that has the given fully reduced form. Students use row reduction to...
Worksheet
Curated OER

Linear Systems and Reviewing for Exam 2

For Students 11th - Higher Ed
For this math worksheet, students practice reviewing the different method to find the inverse for a matrix. They compute the determinant of a matrix.
Worksheet
Curated OER

Linear Systems: Gauss-Jordan Elimination

For Students Higher Ed
In this Gauss-Jordan worksheet, students use the Gauss-Jordan method to find an identify matrix. This two-page worksheet provides examples, explanations and two practice problems.
Lesson Plan
Curated OER

Matrix operations and Matrix Inverses

For Teachers 11th
Eleventh graders study how to combine like vector's that are matrices. In this matrix operations worksheet, 11th graders combine matrices linearly and define the matrix-matrix product and its properties. Students also study matrix...
Worksheet
Curated OER

Algebra 2 Test

For Students 10th - 11th
In this algebra 2 worksheet, students solve 13 systems of equations where they must identify and solve problems using matrices. This would be a great review worksheet.
Lesson Plan
Curated OER

TI-89 Activities for PreCalculus and AP Calculus

For Teachers 9th - 12th Standards
Using the TI-89 calculator, high schoolers explore the statistical, graphical and symbolic capabilities of the TI-89.  Students investigate topics such as solving systems of equations, finding inverse functions, summations,...
Worksheet
Curated OER

Linear Systems: Geometric Interpretation of Eigenvalues

For Students 12th - Higher Ed
In this geometric interpretation worksheet, students prove the exponentiation of a matrix and the Eigenvalues of an inverse. This two-page worksheet contains explanations, examples, theorems and two problems for students to solve.
Worksheet
Curated OER

Linear Systems: Permutations and Transposes

For Students 12th - Higher Ed
In this permutations worksheet, students identify a transpose matrix, and create a permutation matrix. This three-page worksheet contains six problems.
Worksheet
Curated OER

Linear Systems: Orthogonal Matrices

For Students 11th - Higher Ed
In this orthogonal matrices worksheet, students explore characteristics of an orthogonal matrix. They use Gram-Schmidt to convert linearly independent vectors to orthonormal vectors. This three-page worksheet contains approximately six...
Lesson Plan
Curated OER

Matricies: Meadows or Malls?

For Teachers All
Students explore the use of matrices and graphing calculators to solve a complex linear programming problem. They test their solutions to determine the best division of land use for the city.
Worksheet
Curated OER

Academic Algebra II Test Chapter 4

For Students 9th - 10th
For this algebra worksheet, students solve systems of equations.  They evaluate matrix problems and identify the determinant.  This two-page worksheet contains 13 problems.
Lesson Plan
Curated OER

Linear Equations and Matrices

For Teachers 10th - 11th
Students solve systems of equations. In this precalculus lesson,students solve linear equations using matrices. They use the Gaussian elimination method to identify the missing variables and simplify the linear equations.
Worksheet
Curated OER

Systems and Matrices

For Students 7th - 12th
For this algebra worksheet, students are asked to find replacement sets for modified problems. There are 39 questions with an answer key.
Worksheet
Curated OER

Academic Algebra 2 Test

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