MATS 2202 Linear Algebra I CA 2022

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MATS 2202: Test 1, University of Bamenda, Faculty of Science, 2nd Semester 2022, 4th May 2022 (30 minutes): a 14-question mixed True/False and short-proof test on vector space fundamentals -- scalar multiplication and the zero vector, subspace closure under linear combinations (by induction), linear span and spanning sets (including a basis for the diagonal-matrix subspace), linear independence and its hereditary property, the invariance-of-dimension theorem, solving a homogeneous linear system as a subspace (basis and dimension), additive vs. linear maps, evaluating a linear transformation from its action on a basis, linear functionals, change-of-basis/composition-of-matrices rules, the matrix representation of a linear map, and proving that conjugation by an invertible matrix is an isomorphism of the matrix space.