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Worksheet
Curated OER

Algebraic Solutions to Linear Systems

For Students 9th - 10th
In this algebraic solutions worksheet, students explore linear equations. They use algebra to solve linear systems of equations. This one-page worksheet contains ten problems.
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Lesson Plan
Curated OER

Solve Linear Systems by Substitution

For Teachers Higher Ed
In this linear systems worksheet, students use the substitution method to solve systems of equations. This one-page worksheet contains two multi-step problems.
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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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Worksheet
Curated OER

Multivariable Calculus: Linear Systems

For Students 11th - Higher Ed
In this linear systems worksheet, students perform matrix multiplication. This two-page worksheet contains examples, explanations, definitions, and four problems.
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Worksheet
Curated OER

Linear Systems: Using Matrix Operations

For Students Higher Ed
In this matrix operations worksheet, students convert a system of linear equations into a matrix. This four-page worksheet contains explanations, examples and four problems.
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Worksheet
Curated OER

Numerical Analysis: Systems of Linear Equations

For Students Higher Ed
In this linear equation learning exercise, students use the iterative method to solve systems of equations. Explanations and examples are provided. This four-page learning exercise contains approximately three problems.
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Worksheet
Curated OER

Math 224: Review of Linear Systems

For Students Higher Ed
In this linear systems activity, students find the intersection of two planes, and identify solutions for a linear equation. This two-page activity contains five problems.
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Worksheet
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Multivariable Calculus: Review of Linear Systems

For Students 11th - Higher Ed
In this linear system worksheet, students determine the point of intersection between two lines, they complete linear combination problems. This two-page worksheet contains four multi-step problems.
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Worksheet
Curated OER

Multivariable Calculus: Linear Systems

For Students 12th - Higher Ed
In this linear system worksheet, students compute the determinant of a given matrix. They solve systems of equations and compute the inverse of a matrix. This two-page worksheet contains examples, explanations, and three multi-step...
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Worksheet
Curated OER

Linear Systems: Matrix Operations

For Students Higher Ed
In this matrix operations worksheet, students perform matrix addition and multiplication. This two-page worksheet contains six problems. Definitions, examples and explanations are also provided.
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Worksheet
Curated OER

Linear Systems: Matrix Inverse

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

Linear Systems: The Determinant

For Students Higher Ed
In this determinant worksheet, students find the determinants of matrices. They identify patterns and their relationship to the canonical matrix. This two-page worksheet contains approximately nine problems, as well as examples and...
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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

Linear Systems: Graphical Interpretation of Vectors

For Students 11th - Higher Ed
In this graphical interpretation of vectors worksheet, students execute operations of addition and multiplication by a scalar. They sketch results and determine the commutativity of vector addition. This three-page worksheet contains...
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Worksheet
Curated OER

Linear Systems: Projections

For Students 12th - Higher Ed
In this projection worksheet, students explore the intuition behind projections. They calculate the length using the norm and find the projection of a vector. This two-page worksheet contains approximately five problems.
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Worksheet
Curated OER

Linear Systems: Nullspace

For Students Higher Ed
In this nullspace worksheet, students explore vectors and nullspaces found in a matrix. They convert augmented matrix to echelon form. This six-page worksheet contains approximately ten problems.
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Worksheet
Curated OER

Linear Systems: Reduced Row Echelon Matrix and Rank

For Students Higher Ed
Students find the nullspace of the three matrices by finding the reduced row echelon matrix for each in this activity. They convert three matrices to reduced row echelons and show they have only one pivot. Students find the rank of three...
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Worksheet
Curated OER

Math 214 Quiz 8 - Linear Systems

For Students Higher Ed
In this linear system worksheet, students consider the linear system under given parameters. They identify the solution set of a matrix under given cases. This two-page worksheet contains three problems.
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Worksheet
Curated OER

Linear Systems Class Overview

For Students 11th - Higher Ed
In this math worksheet, students find the solutions to the problems using the linear systems of equations. The sheet is a list of review topics.
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Worksheet
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Math 214: Using Elimination to Solve Linear Equations

For Students 11th - Higher Ed
In this linear equation worksheet, students explore a system of equations and use elimination system to identify the solution. This two-page worksheet contains three problems.
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Worksheet
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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

Linear Systems Review for Exam 1

For Students 11th - Higher Ed
In this math worksheet, students practice reviewing for the exam that focuses upon the concept of linear systems. They draw a concept map for the review topics listed.
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Worksheet
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Dimensions of Subspaces

For Students 11th - Higher Ed
In this math worksheet, students practice to find the dimensions of subspaces. They also find the solutions to the systems of equations using the matrices.
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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.