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Volumes in 3-D
In this geometry worksheet, 11th graders calculate the volume of there dimensional shapes using the formula for cylinders. They are given the height and the base and asked to calculate the volume. There are 4 problems.
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Linear Systems: Nullspace Matrix
In this linear systems worksheet, students explore the dimensions of a matrix. They identify the independent rows and columns. This two-page worksheet contains explanations, examples and four problems to solve.
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Using Gauss Jordon to Solve Linear Systems by Elimination
In this math learning exercise, students practice using the method of elimination to find the solutions to the linear systems. They use the matrices to find the solutions.
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Linear Systems: Matrix Operations
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: Fundamental Theorem
In this fundamental theorem worksheet, student explore the nullspace and column space of given matrices. They explore the vectors needed to make it linearly independent and construct free variable columns. This two-page worksheet...
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Linear Systems: Introduction to Vector Space
In this vector space worksheet, students find the column spaces of given matrices. This two-page worksheet contains examples, theorems, explanations, and approximately three problems.
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Linear Systems: Symmetric Matrices
In this symmetric matrices worksheet, students find the eigenvalues of a matrix and discover that symmetric matrices are diagonalizable. This two-page worksheet contains examples, explanations and two problems.
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Linear Systems: Vector Spaces
For this vector space worksheet, students explore linearly independent vectors. They identify the row space, null space and subspaces of a given matrix. This four-page worksheet contains approximately eight problems.
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Linear Systems: Matrix Operations
This matrix operations activity covers topics such as matrix addition, multiplication and properties such as associative, commutative and distributive. Students give examples and counter examples of matrix addition and multiplication. ...
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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 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 learning exercise contains explanations, examples and six 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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Linear Systems: Matrix Multiplication
In this matrix multiplication worksheet, students multiply matrices and identify the rotation matrix of a given angle. This two-page worksheet contains examples, explanations and two problems to solve.
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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: 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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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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Linear Systems: The Inverse Matrix
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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Linear Systems: Applications of Eigenvalues and Eigenvectors
For this Eigenvalue worksheet, students examine the applications of matrix exponentiation. This four-page worksheet contains examples, explanations and approximately three problems to complete.
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Linear Systems: Properties of the Four Matrix Subspaces
In this four matrix subspaces activity, students identify statements which are always true for given matrices. Students are given five matrices and a list of ten statements.
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Linear Systems: The Determinant
In this determinant worksheet, students explore the determinant of a matrix. After examining the given examples and explanations, they find the determinants of given matrices. This two-page worksheet contains nine problems.
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Linear Systems: Applications of Eigenvalues and Eigenvectors
In this eigenvalue and eigenvector worksheet, students find the eigenvalue and eigenvector of a given matrix. This two-page worksheet contains four problems.
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Linear Systems: Column Space and Nullspace of a Matrix
In this matrix worksheet, students find the column space and nullspace of a matrix. They give examples of vectors. This two-page worksheet contains four problems.
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Linear Systems: Vector Spaces and Subspaces
In this vector spaces and subspaces worksheet, students review column spaces of matrices. They determine if the set of all 2 by 2 matrices is a vector space. Students determine if the set of all invertible 2 by 2 matrices is a vector...
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Linear Systems: Geometric Interpretation of Eigenvalues and Eigenvectors
In this interpretation of eigenvalues and eigenvectors activity, students probe the given results of exponentiation of a matrix. They tell the implications of this result. Students prove that the eigenvectors of a symmetric matrix are...
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