MATH 21 Study Guide - Final Guide: Row And Column Spaces, Linear Combination, Horse Length
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0 (a) find the determinant of a. (b) compute a2. Is an eigenvector of a with eigenvalue 3, Is an eigenvector of a with eigenvalue 1. As a linear combination of the eigenvectors. If a is invertible, nd the third column of a 1. 3 6 3 nullspace of a: suppose a = lu, where. 1: a is a matrix satisfying a x1 = 3 x1, a x2 = 2 x2, and a x3 = 3 x3 for some vectors x1, x2, and x3. The others are images of that cat under multiplication by a given matrix. Match each of the matrices to one of the cats. Justify your answers by describing in a few words the e ect of multiplication by the matrix. The scales of the pictures aren"t consistent check the axes. To detect a possible change in the handedness, check the cat"s whiskers. (cid:21) (cid:20) 1 0.
