MATH 3A Study Guide - Midterm Guide: Linear Map, Triangular Matrix, Orthogonal 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. ) True false false false true (cid:21) (cid:20)1 1 (cid:20)1. 0 1 (cid:21) (cid:21) (cid:20)1 0 (cid:20)1 1. 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. 0 diagonalizable with real eigenvalues: h = 1, h = 2, h = 0, h = 1, h = 2. Problem 3) a) (4 points) find the eigenvalues and a basis consisting of eigenvectors of.
