Lesson Plan
EngageNY

When Can We Reverse a Transformation? 1

For Teachers 11th - 12th Standards
Wait, let's start over — teach your class how to return to the beginning. The first lesson looking at inverse matrices introduces the concept of being able to undo a matrix transformation. Learners work with matrices with a determinant...
Lesson Plan
EngageNY

When Can We Reverse a Transformation? 2

For Teachers 11th - 12th Standards
The second lesson on finding inverse matrices asks class members to look for a pattern in the inverse matrix and test it to see if it works for all matrices. The teacher leads a discussion to refine the process in finding inverses,...
Worksheet
Curated OER

Solve Four Systems of Equations Using Inverse Matrices

For Students 11th - Higher Ed
In this inverse matrices worksheet, students solve four systems of equations using inverse matrices.  Examples and explanations are provided.
Worksheet
Curated OER

Linear Systems: The Inverse Matrix

For Students Higher Ed
For this inverse matrix worksheet, students find the product of matrices. They generate an inverse matrix using the Gauss-Jordan elimination method. This two-page worksheet contains explanations, examples and two practice problems.
Worksheet
Curated OER

Multivariable Calculus: Linear Systems

For Students 12th - Higher Ed
In this linear system instructional activity, students compute the determinant of a given matrix. They solve systems of equations and compute the inverse of a matrix. This two-page instructional activity contains examples,...
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 worksheet, students multiply matrices, identify the elimination matrices, and the inverse of a matrix. This three-page worksheet contains approximately six problems.
Worksheet
Curated OER

Matrices

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

Academic Algebra II Test Chapter 4, Part 2

For Students 9th - 12th
In this test of knowledge activity, 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 for two...
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
For 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
In 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.
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.
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...
Worksheet
Curated OER

Academic Algebra II Test Chapter 4

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

Systems and Matrices

For Students 7th - 12th
In 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 worksheet, 11th graders rewrite word problems using algebraic expressions. They solve problems using systems of equations. There are 14 problems on this worksheet.