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Linear Systems: Identifying Pivots and Multipliers
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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Linear Systems: Applications of Determinants
In this determinant worksheet, students use determinants to find area and volume. This two-page worksheet contains examples, explanations and four problems.
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Linear Systems: Permutations and Transposes
In this permutation worksheet, students multiply matrices, explore symmetric matrices, permutation matrices, and properties of the transpose. This three-page worksheet contains explanations, examples and four problems.
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Linear Systems: The Determinant
In this determinant instructional activity, students explore the determinant of a matrix. After examining the given examples and explanations, they find the determinants of given matrices. This two-page instructional activity contains...
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Introductions to Eigenvalues and Eigenvectors
In this math worksheet, students solve the problems that are related to the finding of the eigenvalues and eigenvectors. They must show all their work for the answers.
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Linear Systems: The Matrix Inverse
In this matrix inverse worksheet, students identify a matrix which when multiplied by a coefficient matrix, it transforms into an identify matrix. They use the Gauss-Jordan elimination process to find an inverse matrix. This four-page...
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Other Methods of Computing Determinants
For this math worksheet, students find the answers to the problems related to computing determinants. They read the examples and progress from one step to the next.
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Diagonalizing a Matrix
In this math worksheet, students find the answers to the problems that focus upon the concept of diagonalizing a matrix. They also find the probability matrix.
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Linear Systems: Differential Equations
In 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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Applying Linear Algebra to Differential Equations
In this math activity, students using linear algebra to find the solutions to the differential equations. The equations are listed in systems.
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The Column Space of a Matrix
In this math worksheet, learners find the answers to the problems that are related to using a matrix. They group the numerical values with the matrix.
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Linear Systems: The Reduced Row Echelon Matrix
In this echelon matrix, students identify the nullspace of a matrix by finding the reduced row echelon matrix. This two-page activity contains explanations, examples and six problems.
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The Nullspace of a Matrix
In this math instructional activity, students read the definition for the nullspace of a matrix. The definition is used to find the solutions to new problems.
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Linear Systems: The Nullspace Matrix and Rank
In this nullspace worksheet, students identify the rank and nullspace in a matrix. They compare the nullspace and column space of given matrices. This two-page worksheet contains examples, explanations and five problems.
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Projections of a Vector Onto a Subspace
In this math activity, learners practice reading the examples of a vector onto a subspace. They also examine the projection matrix.
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General Solution to Ax=b
In this math instructional activity, students practice finding the vector spaces associated with the rectangular matrices. Then they find the complete solutions to the given equation using a matrix.
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Linear Systems: Fundamental Theorem
In this fundamental theorem worksheet, students show matrix multiplication, identify the vector in the nullspace and interpret equations. This two-page worksheet contains examples, explanations and three problems.
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Linear Systems Class Overview
In this math instructional activity, 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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Linear Systems: Orthogonality of Subspaces
In this subspace worksheet, students decompose a vector into two orthogonal pieces, one for the nullspace and another for the row space of a matrix. This two-page worksheet contains explanations, examples, and three problems.
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Linear Systems; Permutations and Transposes
In this permutations worksheet, students explore a permutation matrix, symmetric matrix, and the properties of the transpose. This three-page worksheet contains six problems.
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Linear Systems: Methods of Computing Determinants
In this determinant activity, students explore the properties of the determinant. They compute determinants by using the co-factor method, the "big formula" and the product of pivots. This two-page activity contains explanations,...
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Linear Systems: Eigenvalues and Eigenvectors
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.
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Geometric Interpretations of Eigenvalues and Eigenvectors
In this math learning exercise, students practice finding the Eigenvalues and Eigenvectors. They find the special factors of the given matrices.
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Linear Systems and Reviewing for Exam 2
In this math worksheet, students practice reviewing the different method to find the inverse for a matrix. They compute the determinant of a matrix.
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