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Worksheet
Curated OER

Linear Systems: The Matrix Inverse

For Students Higher Ed
In this matrix inverse instructional activity, 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. ...
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Lesson Plan
EngageNY

First-Person Computer Games

For Teachers 11th - 12th Standards
How do graphic designers project three-dimensional images onto two-dimensional spaces? Scholars connect their learning of matrix transformations to graphic design. They understand how to apply matrix transformations to make...
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Lesson Plan
Curated OER

Matrix Multiplication

For Teachers 11th
For this Algebra II worksheet, 11th graders investigate matrix multiplication. The two page worksheet includes instructions and examples and two problems. Solutions are included.   
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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...
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Worksheet
Curated OER

Data Analysis

For Students 9th
In this data analysis worksheet, 9th graders solve and complete 8 different problems. First, they add each of the matrices shown at the top. Then, students subtract the matrices. They also multiply and simplify the given expression.
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Lesson Plan
EngageNY

The Geometric Effect of Multiplying by a Reciprocal

For Teachers 11th - 12th Standards
Class members perform complex operations on a plane in the 17th segment in the 32-part series. Learners first verify that multiplication by the reciprocal does the same geometrically as it does algebraically. The class then circles back...
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Worksheet
Curated OER

Academic Algebra II Test Chapter 4, Part 2

For Students 9th - 12th
For this test of knowledge worksheet, 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...
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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.
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Worksheet
Curated OER

Heat Index Formula

For Students 9th - 12th
In this heat index formula learning exercise, students find the heat index for 3 scenarios.  Students use matrix multiplication to determine the heat index given temperature and relative humidity.
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Worksheet
Curated OER

Solving Linear Systems Using Matrices

For Students 9th - 12th Standards
Start with the definition of a determinant and how to evaluate a 2x2 determinant. Apply this skill to solve systems of two equations with two unknowns by using Cramer's rule. These four basic problems would be good for a quick review or...
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Lesson Plan
Curated OER

Linear Equations and Matrices

For Teachers 10th - 11th
Young scholars 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.
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Worksheet
Curated OER

The Binomial Theorem

For Students 10th - 12th
Students simplify 3 series multiplication problems, one fraction , and six matrix problems. They expand 12 binomials,  Students find the specified term of four binomials.
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Lesson Plan
Curated OER

Coded Messages

For Teachers 9th - 12th Standards
High schoolers solve matrices by multiplication. In this algebra lesson, students create coded messages and relate it to solving matrices. They multiply and find the inverse of matrices.
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Lesson Plan
Curated OER

Solving Systems with Row Operations 1

For Teachers 9th - 12th Standards
Students solve systems of equations. In this algebra instructional activity, students use matrices to solve linear equations. They use reduced row echelon-form and scalar multiplier to simplify the matrices completely.
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Worksheet
Curated OER

Linear Systems: Identifying Pivots and Multipliers

For Students 11th - Higher Ed
In this identifying pivots learning exercise, students use algebra to find equivalent systems of equations. This four-page learning exercise contains examples, explanations and approximately ten problems.
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Worksheet
Curated OER

Linear Systems: General Solutions

For Students 11th - Higher Ed
In this linear system worksheet, students explore the characteristics of given matrices. They multiply matrices and determine pivots and multiply solutions. This four-page worksheet contains approximately seven problems.
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Worksheet
Curated OER

Cramer's Rule

For Students 9th - 11th
In this algebra activity, students solve problems with matrices. They add, subtract and multiply matrices. There are 7 questions.
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Unit Plan
Benjamin Franklin High School

Saxon Math: Algebra 2 (Section 4)

For Teachers 9th - 12th Standards
This fourth of twelve units in a series continues the investigation of functions through equations and inequalities. However, the modular nature of the lessons in the section make this an excellent resource for any curriculum covering...
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Worksheet
Curated OER

Linear Systems: Permutations and Transposes

For Students Higher Ed
In this permutation worksheet, students multiply matrices, explore symmetric matrices, permutation matrices, and properties of the transpose. This three-page worksheet contains explanations, examples and four problems.
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Worksheet
Curated OER

Omega and Eigenfunction

For Students 9th - 11th
In this chemistry worksheet, students calculate the eigenfunction of the operator. They use the operator matrices. There are 4 questions.  
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Lesson Plan
EngageNY

Exploiting the Connection to Cartesian Coordinates

For Teachers 11th - 12th Standards
Multiplication in polar form is nice and neat—that is not the case for coordinate representation. Multiplication by a complex number results in a dilation and a rotation in the plane. The formulas to show the dilation and rotation are...
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Worksheet
Curated OER

Linear Systems: Applications of Eiginvalues

For Students 12th - Higher Ed
In this Eigenvalue and Eigenvector worksheet, students examine the applications of matrix exponentiation. This four-page worksheet provides explanations and examples, as well as three problems to complete.
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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.
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Worksheet
Curated OER

Linear Systems: Independence, Basis and Dimension

For Students 12th - Higher Ed
In this basis and dimension worksheet, students explore vector spaces associated with rectangular matrices. The two-page worksheet contains approximately 20 short answer questions.