## Math 51 Spring 2014

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## Errata page for Linear Algebra by Steven Levandosky

 Page Description 61 In the line immediately before Example 9.4, replace Ab=b with Ax=b. 65 In the third subspace property, replace "the" with "then". 68-69 The Exercises should be numbered 10.1 through 10.14, not 10.11 through 10.24. 72 The second paragraph should begin "These vectors however do not form a basis..." 86 In Exercise 13.3 the second component of f should be -5x1+2x2, not -5x1+2x1. 88 The Exercise following 13.22 should be 13.23, not 1. 92 In the second sentence, replace arbitrarily with arbitrary. 97 Exercises 14.14 and 14.15 should both include the line "Find the matrix for T." 102 The Exercise after 15.2 should be 15.11, not 1. 106 In the sentence immediately before Proposition 16.5, replace rows with columns. 145 In the linear combination, the last coefficient should be ck, not cn. 176 The last sentence should read "The matrices in Examples 23.4 and 23.5 are diagonalizable because in both cases there is a basis for Rn consisting of eigenvectors of A." 179 In Exercise 23.10(a), replace eigenvectors with eigenvalues. 180 Change exercise 23.11 to "Find two diagonalizable matrices whose product is not diagonalizable." 192 In Example 25.2 replace "lambda=4" with "lambda=-3". 194 In Example 25.3, in the line that begins 4I3-A=..., replace "rref(I3-A)" with "rref(4I3-A)". 195 In Example 25.3 replace each instance of "v1 and v2" with "v2 and v3". 198 In example 26.7, replace "Q(1,0)" with "Q(0,1)".

Spring 2014 -- Department of Mathematics, Stanford University