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Worksheet
Curated OER

Exercises for Section 5.3: Matrices

For Students 11th - Higher Ed
In this matrices worksheet, students solve 26 systems of equations using matrices. Students solve each system using matrices. Students determine the rank and solutions of each matrix using row echelon form of each system.
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Lesson Plan
Curated OER

Dimension and Rank

For Teachers 10th - 12th
Students determine the dimension of a subspace.  In this dimension and rank lesson, students explore the dimension of a vector space.  They compare and explore the relationship in a matrix. 
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Worksheet
Curated OER

Linear Algebra

For Students 12th - Higher Ed
In this linear algebra worksheet, students solve 3 different sets of problems that include rank, dimension, nullspace and range of linear algebra. They determine the relation between the rank of a matrix and the dimension of its range....
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Worksheet
Curated OER

Linear Systems: The Nullspace Matrix and Rank

For Students Higher Ed
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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Worksheet
Curated OER

Linear Systems: Reduced Row Echelon Matrix

For Students 12th - Higher Ed
For this echelon matrix worksheet, learners 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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Worksheet
Curated OER

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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Worksheet
Curated OER

Linear Systems: Nullspace Matrix

For Students Higher Ed
In this linear systems learning exercise, students explore the dimensions of a matrix. They identify the independent rows and columns. This two-page learning exercise contains explanations, examples and four problems to solve.