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Worksheet
Curated OER

Linear Systems: Vector Spaces and Subspaces

For Students 12th - Higher Ed
For this vector space worksheet, learners 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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Worksheet
Curated OER

Linear Systems: Projections

For Students 12th - Higher Ed
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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Worksheet
Curated OER

Math 214: Quiz 9 - Dimensions of Subspaces

For Students Higher Ed
In this subspace worksheet, students determine the dimension of a nullspace and column space of a given matrix. This two-page worksheet contains three problems.
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Worksheet
Curated OER

Math 214 - Quiz 12 Properties of Subspaces

For Students Higher Ed
In this subspace worksheet, students match a matrix to its property of subspace. This two-page worksheet contains five problems.