MATH 3A Study Guide - Midterm Guide: Counterexample, Linear Map, Diagonalizable Matrix
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MATH 3A Full Course Notes
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This is a closed book exam, no notes allowed. It consists of 6 problems, each worth 10 points. We will grade all 6 problems, and count your top 5 scores. Problem 1) decide if the following statements are always true or sometimes. Write the full word true or false in the answer boxes of the chart. (correct answers receive 2 points, incorrect answers or blank answers receive 0 points. ) Then v1, v2, v3 form an orthogonal set if and only if the projection of v3 to the span of v1, v2 is the zero vector. Problem 2) indicate with an x in the chart all of the answers that satisfy the questions below. You do not need to justify your answers. X: let a be an n n matrix. Practice midterm 2 solution, math 54, linear algebra and di erential equations, fall 2014: which of the following linear transformations is an isomorphism, p2 r3 p(x) (cid:55) .