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
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Linear Systems: Eigenvalues and Eigenvectors

For Students 11th - Higher Ed
In this "Eigenvalues and Eigenvectors" activity, students find the eigenvalue of a matrix and explore the properties of eigenvalues with a matrix. This two page activity contains two multi-step problems.
Worksheet
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More on Least Squares

For Students 12th - Higher Ed
In this least squares worksheet, learners solve 3 different problems that include determining the least squares of equations. First, they use the data given in the table to write out the normal equations a system of 2 equations in 2...
Worksheet
Curated OER

Cramer's Rule

For Students 11th - 12th
In this Cramer's Rule worksheet, students solve and complete 18 different problems related to trigonometry. First, they solve each system of equations using Cramer's Rule. Then, students solve using matrix elimination. Finally, they...
Lesson Plan
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Eigenvalues, Eigenvectors, and Diagonalization

For Teachers Higher Ed
Students determine eigenvectors and eigenvalues for a matrix. Students diagonalize a matrix. Similar matrices are defined. Determinant formula is given for an degree n polynomial.
Lesson Plan
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Systems of Word Problems

For Teachers 9th
Ninth graders investigate systems of linear equations.  In this Algebra I lesson, 9th graders explore word problems that can be solved by using a system of equations.   The problems involve such topics as cell phone usage,...
Worksheet
Curated OER

General Solution to Ax=b

For Students 11th - Higher Ed
In this math worksheet, students practice finding the vector spaces associated with the rectangular matrices. Then they find the complete solutions to the given equation using a matrix.
Lesson Plan
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SHHH It's a Secret

For Teachers 8th - 10th
Students rewrite word problems using expressions and equations. In this algebra lesson, students use the correct variable to solve and write equations. They use the TI to graph their solution.
Worksheet
Curated OER

Linear Systems: Symmetric Matrices

For Students 12th - Higher Ed
In this symmetric matrices worksheet, students explore the characteristics of symmetric matrices. This two-page worksheet contains examples and explanations concerning symmetric matrices. Two problems are provided to solve.
Worksheet
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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

Cramer's Rule

For Students 11th - Higher Ed
In this Cramer's Rule worksheet, students first evaluate five determinants or square matrix. Then they solve the last five problems by applying Cramer's Rule. Students identify and define Cramer's Rule as a theorem used with linear...
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.
Worksheet
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Convolution

For Students 12th - Higher Ed
In this circular convolutions worksheet, students solve 8 different problems that are related to circular convolutions. They let g be defined by an arbitrary vector and determine the formula for 8 samples for f and g. Then, students find...
Worksheet
Curated OER

Linear Systems: Eigenvalues and Eigenvectors

For Students Higher Ed
In this eigenvalues worksheet, students find the eigenvalues and eigenvectors of a given matrix. This two-page worksheet contains examples, explanations and two practice problems.
Worksheet
Curated OER

Linear Systems: Least Squares Approximations

For Students 11th - Higher Ed
In this least squares approximation instructional activity, students use linear algebra to find the least square error and the equation of a line for given points. They find the equation of a parabola through provided points. This...
Worksheet
Curated OER

Linear Systems: Applications of Determinants

For Students 12th - Higher Ed
In this determinant worksheet, students explore determinants, area and volume. This two-page worksheet contains explanations and examples. It provides two problems for students to solve.
Lesson Plan
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Drag Equation - Level 1

For Teachers 9th - 11th
Students, after reading the Drag Equation page from the NASA Web site, demonstrate an understanding of this equation and how drag is dependent on the variables included in the equation.
Lesson Plan
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Drag Equation - Level 2

For Teachers 9th - 11th
Learners, after reading the Drag Equation page from the NASA Web-based textbook, demonstrate an understanding of this equation and how drag is dependent on the variables included in the equation.
Worksheet
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Matrices

For Students 9th - 10th
In this calculus worksheet, students practice solving equations of area and integrals. There are 14 multi-step problems.
Lesson Plan
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Graphing Systems of Inequalities

For Teachers 9th - 12th
Solve equations and graph systems of inequalities. Designed as a lesson to reinforce these concepts, learners revisit shading and boundaries along with solving linear inequalities.
Lesson Plan
EngageNY

Why Are Vectors Useful? 2

For Teachers 11th - 12th Standards
Investigate the application of vector transformations applied to linear systems. Individuals use vectors to transform a linear system translating the solution to the origin. They apply their understanding of vectors, matrices,...
Lesson Plan
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College Level Study Guide

For Teachers 11th - Higher Ed
In this study guide worksheet, students examine and complete questions that are similar to the college Accuplacer College Level Math test. This worksheet includes, but is not limited to, factoring and expanding polynomials, simplifying...
Worksheet
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Setting up Systems

For Students 12th - Higher Ed
In this systems of equations worksheet, students solve 2 different problems that include setting up various systems. They compute a given system using matrix operations. Then, students verify that the solution is correct by drawing a set...
Worksheet
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Introduction to Linear Algebra 2.1

For Students 11th - Higher Ed
In this linear equation worksheet, students identify the vector space of a given matrices and find the appropriate system of equations for each of four solutions. Then they solve the system and write their conclusion.