## Corrections for Unified Linear Algebra by A. Tucker

p. 7 in (13), delete: "or k = .75: C +" and replace by "W = (D-U)/(1-k)"
p. 30 in (19), the coeeficient of RF in each equation should be .001, not .01.
p. 31 numbering of axes is in multiples of 10.
p. 43, in Figure 1.11, the Labor line should be 4C + W = 320.
p. 78, in 2nd line of (12), 0 should be bold face (a vector)
p. 89, Exer 8a, last inequality, subscript of 2nd variable should be 2, not 1.
p. 104, second breakout equation, add parentheses around "mod 2"
p. 109, 2c, delete vertex f and the edge (e,f).
p. 119, first line after (25), add an 's' at the end of "pair"
p. 135, Theorem 3 "Let [lambda star] be a real number that is the largest .."
p. 152. Exer. 7, there should be a door between rooms D and E
p. 166, breakout before A-4I, "...by matrix algebra, (A-4I)u = 0, where"
p. 174, Exer 30, replace [not equal sign] by [greater than sign].
p. 175 breakout lines near bottom of page: after arrow should be 2x1 + (-3) + (2) = 1 or x1 = 3.
p. 178, Last breakout in Example 3, x should have a subscript of 1.
p. 181, (12) last row: (d') = (d) + (1/6)(b')
p. 181, (13) last row: (d") = (d') + (1/6)(c")
p. 188, breakout equation, right side, the subscripts should be reversed for entries of L.
p. 195, line after (4), subscript of c's should be i, not 1.
p. 198, Insert at top of page (before current first paragraph): Corollary to Theorem 2: X in Theorem 2 is both a left-sided and a right-sided inverse. Proof: In Theorem 2, X was shown to be a left-sided inverse, that is XA = I. However, if we reverse the pivoting process that transformed [A I] to [I A^(-1)], we take [I A^(-1)] to [A I] or equivalently, take [A^(-1) I] to [I A], proving the A is the left- sided inverse of A^(-1), or equivalently, A^(-1) is the right-side inverse of A.
p. 211, Exer. 15a, replace "meal" by "meat"
p. 215, Section 3.4, line 6, should be 'det(A - [lambda]I)'
p. 220, (4), Steel row should include '+ 0' for Comsumer Demand
p. 221, in (7) and (8), upper limit of sums is infinity
p. 228, 2 lines before (25), 0 should be bold (a vector).
p. 233, Exer 5b, first line, first eigenvalue should be -1.818 (not -1.118)
p. 241, Example 2, line 2, vector is [1, -.50,0,0,0,0]
p. 243, (15), right side of 2nd eqn is .9998
p. 249, bottom equation on page, =[1.7, -13.5, 4.8]
p. 252, Exer 12 b, line 2, replace n^2 by (n^3)/6
p. 285, Exer. 4b, line 1, replace '(b)' by '(a)'
p. 288, 2 lines before (1), replace 'magnesium' by 'manganese'
p. 297, (41c), add U^(-1) after exponential matrix.
p. 301, Exer 3 and 4, replace 'magnesium' by 'manganese'
p. 302, Exer 6b, subscripts of i's must be different
p. 305, Example 1, in matrix A, entry (2,1) should be .5
p. 313, 5th line after (22), "However, it can be shown that ||Q|| < 1.."
p. 328, (20), 3rd equ: a' = .6y + .75a + h
p. 340, Iron constraint, 10x1 + 1x2 => 100
p. 340, Example 2, line 2, Colleges A and B
p. 371, (4), right side should have integral symbol with limits from 0 to x and have a 'dx' after 'f(x)'
p. 372, (8), add 'dx' after integral
p. 379, Exer. 9, add 'dx' after intergral
p. 382, (10), in the 2nd term delete '1' in numerator
p. 382, line after (10), "Multiplying by -3, . . ."
p. 387, (1), on left side, a should be italic, not bold
p. 391, line 3 after (15), replace '(11)' by '(1)'
p. 398-99, Example 2, in three places replace 'magnesium' by 'manganese'
p. 402. Example 4, next-to-last line before final breakout, delete second 'to x'
p. 411, Exer 14, replace 'magneisum' by 'manganese'
p. 412, Exer. 17, three line ". . column is the weighted average of the other two columns."
p. 437, After Theorem 1, para 3, line 2, should be Example 2
p. 461, Principle, line 1, ". . .with rank(A) = n so that . . "
p. 473, fifth line before (34), "inner products x^1 . e^x = " (exponent of e is x)
p. 483, second line before (18), delete 'If', start sentence with 'In',
p. 485, after large breakout in middle of the page, subscript of A should be 2, not 1.
p. 493, line after (43) ". . decomposition of the A in (43). First . . "
p. 502, fourth line after (6), at end of line 'x' replaces 'a'
Solutions
Sect 1.2, 5b, x2 (not x3) must be negative.
Sect 2.1, 5 c, 2nd row, 2nd column entry should be 14.
Sect 2.3, 1a, interchange labels of vertices c and d
Sect 2.3, 17, c = [0, 1, 1, 1, 1, 0, 0]
Sect 2.6, 7, in partitioned form, the lower right entry should be the transpose of M.
Sect 3.4, answer for #15 is actually asnwer for #14.