136_tt2_f10_info - of a linear mapping.- How to nd the...

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Math 136 Term Test 2 Information Monday, Nov 15th, 7:00 - 8:50 pm Material Covered: Sections 3-3, 3-4, 4-1, 4-2, 4-3, 4-4, Change of Basis. You need to know: - All definitions and statements of theorems and lemmas. - How to prove a subset of a vector space is or isn’t a subspace. - How to prove a set is linearly independent and/or spans a given set. - How to find/construct a basis for a given vector space. - How to extend a linearly independent set to a basis. - How to find the coordinates of a vector with respect to a given basis of a vector space. - How to find the change of coordinates matrix between two bases of a vector space. - How to prove a mapping is linear and how to find a basis for the range and nullspace
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Unformatted text preview: of a linear mapping.- How to nd the standard matrix of a linear mapping.- Know all basic mappings (stretches, shears, rotations, projections and reections) and their standard matrices.- There will be a few proofs which test your knowledge and understanding of the de-nitions, theorems and concepts. The questions on the term test are largely based on those from assignments 5, 6, 7 and tutorials. In addition to reviewing those problems, it is recommended that you do additional A and D problems from the relevant sections of the text. NO CALCULATORS allowed on any test!...
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This note was uploaded on 11/25/2010 for the course MATH 136 taught by Professor All during the Spring '08 term at Waterloo.

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