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Worksheet
Curated OER

Linear Systems/ LU Decomposition

For Students 11th - Higher Ed
In this math worksheet, students find the values by factoring a matrix A into the product of a lower triangular matrix L. They also make it into an upper matrix U.
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Worksheet
Curated OER

Math 214 Quiz 10 - Linear Systems

For Students Higher Ed
In this linear systems worksheet, students find the parameter of a given matrix, and solve linear systems. This two-page worksheet contains four problems.
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Worksheet
Curated OER

Linear Systems Quiz 6

For Students 11th - Higher Ed
In this math worksheet, students practice finding the solutions for the linear systems in the form of a quiz. They focus upon finding the eigenvalues and eigenvectors of a matrix.
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Worksheet
Curated OER

Linear Systems Review Problems

For Students Higher Ed
In this linear systems activity, 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...
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eBook
Rice University

College Algebra

For Students 9th - Higher Ed Standards
Is there more to college algebra than this? Even though the eBook is designed for a college algebra course, there are several topics that align to Algebra II or Pre-calculus courses. Topics begin with linear equation and inequalities,...
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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, then...
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Worksheet
Curated OER

Numerical Analysis: Discrete Least Squares

For Students Higher Ed
In this discrete least squares worksheet, students use a linear algebra approach to discrete last squares approximation. This two-page worksheet contains approximately 10 problems.
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Assessment
EngageNY

End-of-Module Assessment Task: Pre-Calculus Module 2

For Students 11th - 12th Standards
Assess pupil understanding of the relationship between matrices, vectors, linear transformations, and parametric equations. Questions range from recall to more complex levels of thinking. Problems represent topics learned throughout the...
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eBook
Rice University

Intermediate Algebra

For Students 9th - 12th Standards
Algebra concepts are all wrapped up in one nice bow. The resource combines all the concepts typically found in Algebra I and Algebra II courses in one eBook. The topics covered begin with solving linear equations and move to linear...
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Worksheet
Curated OER

Linear Systems

For Students Higher Ed
In this linear systems activity, students explore the effect of two identical columns in a matrix on the null space of the matrix. They consider the column space of a matrix. Students compare the column space of a matrix to the column...
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Worksheet
Curated OER

Numerical Analysis: Solving Linear Equations

For Students Higher Ed
In this linear equation worksheet, students compare methods to solve linear equations. This four-page worksheet contains approximately five questions.
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Worksheet
Curated OER

Linear Systems: LU Decomposition

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

Linear Systems: Matrix Operations

For Students Higher Ed
In this matrix operations worksheet, students find the dot product of matrices. They use the elimination method to solve linear equations. This two-page worksheet contains explanations, examples and three problems.
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Lesson Plan
Curated OER

Equations and Systems of Equations

For Teachers 7th - 8th
Students practice using algebra to be applied to real world situational problems. The key concepts of translation of language to algebraic expressions is covered. They also look in depth at relationships between different quantities.
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Worksheet
Curated OER

Linear Systems: The Inverse Matrix

For Students Higher Ed
In 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.
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Worksheet
Curated OER

Linear Systems: Diagonalizing a Matrix

For Students Higher Ed
In this diagonalizing a matrix worksheet, students explore matrix factorization and use diagonal decomposition. This two-page worksheet contains examples, explanations and four practice problems.
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Worksheet
Curated OER

Linear Systems: Column Space and Nullspace of a Matrix

For Students Higher Ed
In this matrix worksheet, students find the column space and nullspace of a matrix. They give examples of vectors. This two-page worksheet contains four problems.
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Worksheet
Curated OER

Using Linear Algebra to Solve Systems of ODE's

For Students 11th - Higher Ed
In this math worksheet, students examine the coupled differential equations. Then they find the eigenvalues and eigenvectors for the 2x2 matrix.
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Worksheet
Curated OER

Using Gauss Jordon to Solve Linear Systems by Elimination

For Students 11th - Higher Ed
In this math worksheet, students practice using the method of elimination to find the solutions to the linear systems. They use the matrices to find the solutions.
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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

Linear Systems: Identifying Pivots and Multipliers

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

Numerical Analysis: Using the QR Algorithm

For Students Higher Ed
In this QR algorithm learning exercise, students use the QR algorithm to solve an over-determined system of equations. This two-page learning exercise contains 11 problems.
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Worksheet
Curated OER

Linear Systems: Identifying Pivots and Multipliers

For Students Higher Ed
In this pivot worksheet, students explore the elimination process, and write a matrix in upper triangular form. They identify equivalent systems. This four-page worksheet contains examples, explanations, and approximately ten problems.
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Unit Plan
EngageNY

Complex Numbers and Transformations

For Teachers 11th - 12th Standards
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...