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Algebraic Solutions to Linear Systems
In this algebraic solutions learning exercise, students explore linear equations. They use algebra to solve linear systems of equations. This one-page learning exercise contains ten problems.
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Solve Linear Systems by Substitution
For 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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Linear Systems Review Problems
In 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...
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Multivariable Calculus: Linear Systems
In this linear systems activity, students perform matrix multiplication. This two-page activity contains examples, explanations, definitions, and four problems.
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Linear Systems: Using Matrix Operations
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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Numerical Analysis: Systems of Linear Equations
In this linear equation worksheet, students use the iterative method to solve systems of equations. Explanations and examples are provided. This four-page worksheet contains approximately three problems.
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Math 224: Review of Linear Systems
In this linear systems worksheet, students find the intersection of two planes, and identify solutions for a linear equation. This two-page worksheet contains five problems.
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Multivariable Calculus: Review of Linear Systems
In this linear system instructional activity, students determine the point of intersection between two lines, they complete linear combination problems. This two-page instructional activity contains four multi-step problems.
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Multivariable Calculus: Linear Systems
In this linear system worksheet, learners 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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Linear Systems: Matrix Operations
In this matrix operations learning exercise, students perform matrix addition and multiplication. This two-page learning exercise contains six problems. Definitions, examples and explanations are also provided.
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Linear Systems: Matrix Inverse
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.
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Linear Systems: The Determinant
In this determinant instructional activity, students find the determinants of matrices. They identify patterns and their relationship to the canonical matrix. This two-page instructional activity contains approximately nine problems,...
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Linear Systems: General Solutions
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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Linear Systems: Graphical Interpretation of Vectors
In this graphical interpretation of vectors instructional activity, students execute operations of addition and multiplication by a scalar. They sketch results and determine the commutativity of vector addition. This three-page...
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Linear Systems: Projections
In this projection learning exercise, students explore the intuition behind projections. They calculate the length using the norm and find the projection of a vector. This two-page learning exercise contains approximately five problems.
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Linear Systems: Nullspace
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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Linear Systems: Reduced Row Echelon Matrix and Rank
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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Math 214 Quiz 8 - Linear Systems
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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Linear Systems Class Overview
In this math worksheet, learners find the solutions to the problems using the linear systems of equations. The sheet is a list of review topics.
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Math 214: Using Elimination to Solve Linear Equations
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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Linear Systems/ LU Decomposition
In this math learning exercise, 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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Linear Systems Review for Exam 1
In this math activity, 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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Dimensions of Subspaces
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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Math 214 Quiz 10 - Linear Systems
In this linear systems worksheet, students find the parameter of a given matrix, and solve linear systems. This two-page worksheet contains four problems.