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term_test_2_info - nullspace oF a linear mapping How to fnd...

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Math 136 Term Test 2 Information Monday, Mar 15th, 7:00 - 8:50 pm Material Covered: Sections 3-1, 3-2, 3-3, 3-4, 4-1, 4-2, 4-3, 4-4. 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 prove a mapping is linear and how to find a spanning set for the range and
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Unformatted text preview: nullspace oF a linear mapping.- How to fnd the standard matrix oF a linear mapping.- Know all basic mappings (stretches, shears, rotations, projections and re±ections).- There will be a Few prooFs which test your knowledge and understanding oF the def-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....
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