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Worksheet
Curated OER

Linear Systems: Vector Spaces

For Students 11th - Higher Ed
In this vector spaces learning exercise, students explore the column and rowspace of a matrix. They find the basis of subspaces associated with a given matrix. Students observe the relationship between vectors and the nullspace. This...
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Worksheet
Curated OER

Linear Systems: Independence, Basis and Dimension

For Students 12th - Higher Ed
In this basis and dimension worksheet, students explore vector spaces associated with rectangular matrices. The two-page worksheet contains approximately 20 short answer questions.
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Worksheet
Curated OER

Linear Systems: Vector Spaces

For Students Higher Ed
In this vector space activity, students explore linearly independent vectors. They identify the row space, null space and subspaces of a given matrix. This four-page activity contains approximately eight problems.