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Worksheet
Curated OER

Linear Systems: Orthogonality of Subspaces

For Students Higher Ed
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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Worksheet
Curated OER

Dimensions of Subspaces

For Students 11th - Higher Ed
In this math worksheet, students practice to find the dimensions of subspaces. They also find the solutions to the systems of equations using the matrices.