MATH-0070 Final: MATH70 final Math70-Final-F2017
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This version of the exam is for section 01, taught by professor walsh, which meets: tues/thurs/fri. This is question 0, and is worth ve points. Math 70 section 01 final exam fall 2017 (1) (5+10=15 points) short answer questions: no partial credit, and no work or explanations required: True or false? (circle your answers) (a) suppose a is a 5 3 matrix which has 3 pivots. Let t be the linear transformation de ned by t (~x) = a~x. F (b) every linearly independent set in rn is an orthogonal set. F (c) if the dimension of the vector space v is p for some p 1, then every set of vectors that spans v has more than p vectors. F (d) there exists a one-to-one linear transformation from p3 to r3. F (e) suppose a is an m n matrix. Short answer (a) suppose u is a square matrix with orthonormal columns.
