A proof-aware linear algebra path covering systems, matrices, vector spaces, transformations, orthogonality, eigenvalues, and applications.
A proof-aware linear algebra path covering systems, matrices, vector spaces, transformations, orthogonality, eigenvalues, and applications.
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Practice: Solve a three-equation system and describe the solution as a point, line, plane, or empty set.
Practice: Reduce a matrix by hand, identify pivot columns, and state rank and free variables.
Practice: Determine whether three proposed sets are subspaces and justify each conclusion.
Practice: Find bases for the column space and null space of one matrix and explain the dimensions.
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