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Linear Systems: Matrix Operations

For Students Higher Ed
For 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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Linear Systems: Matrix Inverse

For Students 11th - Higher Ed
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: Using Matrix Operations

For Students 12th - Higher Ed
In this linear systems worksheet, learners use matrix multiplication as an elimination technique to solve linear systems. They compare products and explore trends. This four-page worksheet contains explanations, examples and five...
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Linear Systems: Linear Equations

For Students 11th - Higher Ed
In this linear systems worksheet, students use a matrix to represent linear systems. This four page worksheet provides examples, explanations and approximately eight problems to complete.
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Numerical Analysis: Successive Over-Relaxation for Linear Systems

For Students Higher Ed
In this successive linear systems worksheet, students use a matrix representation of iterative schemes for linear systems. They define a positive definite matrix and explore the Kahan Theorem. This two-page worksheet contains...
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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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Topic 4.7 - Using Augmented Matrices

For Students 7th - 9th
In this algebra worksheet, students solve each of the systems of equations using an augmented matrix. There are 8 problems to solve.
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Matrices and Vectors

For Students 12th - Higher Ed
In this matrices and vectors worksheet, learners solve 9 various types of problems related to forming matrices and vectors. First, they set up each system of equations listed in matrix form using mathematical notation. Then, students...
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Linear Systems: General Solutions

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

For Teachers 9th - 10th
Students solve inequalities and systems of equations. In this algebra lesson, students use substitution and elimination as they solve algebraic systems. They use graphing and a table to support their solutions.
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Linear Systems

For Students Higher Ed
In this linear systems worksheet, 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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Math 212: Review of Linear Systems

For Students Higher Ed
In this linear systems review, students find the intersection of two planes, solve linear systems of equations using matrices, determine the solution set for a linear system. This two-page worksheet contains four problems.
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Equation of a Line

For Students 9th
In this equation of a line activity, 9th graders solve and complete 4 different multiple choice problems. First, they use the median fit method to determine the equation that most likely represents the line of best fit for the data shown...
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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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Linear Systems: LU Decomposition

For Students 12th - Higher Ed
In this LU decomposition worksheet, students multiply matrices, identify the elimination matrices, and the inverse of a matrix. This three-page worksheet contains approximately six problems.
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Linear Systems: Reduced Row Echelon Matrix

For Students 12th - Higher Ed
In this echelon matrix worksheet, students find the nullspace of matrices by finding the reduced row echelon. This two-page worksheet contains explanations, examples and six problems to complete.
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Linear Systems: Nullspace Matrix and Rank

For Students 11th - Higher Ed
In this nullspace matrix worksheet, students observe the rank and number of independent rows and columns a matrix has. They compute the product of matrices and describe the column space of each. This two-page worksheet contains...
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Linear Systems: Differential Equations

For Students Higher Ed
For this differential equations worksheet, students determine the stability of matrices and evaluate a matrix with an exponent. This two-page worksheet contains examples, explanations, and two problems to solve.
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Matrix Operations

For Teachers 9th - 10th
Students solve problems using matrices. In this algebra lesson plan, students add, subtract and multiply matrices. They use the graphing calculator to simplify and graph linear equations.
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Linear Systems: The Inverse Matrix

For Students Higher Ed
For 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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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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Chapter 6 Worksheet: Math 210. Matrices

For Teachers 11th - Higher Ed
In this matrices worksheet, students define a matrix. They multiply matrices, and find the inverse of them. This one-page worksheet contains approximately 20 problems.
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Solving Systems of Equations

For Students 12th - Higher Ed
In this systems of equations worksheet, students solve 4 different problems related to various systems of equations. First, they write out and solve the system of equations shown using Maple. Then, students write the system in matrix...
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Linear Systems: Vector Spaces and Subspaces

For Students 12th - Higher Ed
In this vector space worksheet, students find the column space of given matrices, the identify the vector space and determine if the matrix is invertible. This four-page worksheet contains approximately six multi-step problems.

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