RWKaye and RAWilson - Linear Algebra

From the review in the Mathematical Gazette, March 1999:
`Familiarity is apt to dull the senses when reviewing mainstream texts such as this one, but make no mistake, this is a clearly and carefully written book that lecturers could easily lecture from and learners readily learn from: it merits a wide circulation.'

From the review in the Nieuw Archief voor Wiskunde, July 1999:
`... this book can be strongly recommended.'

Corrections

• p. 10: the top right entries in the inverse of A on lines 4 and 6 should be -5/4 not -5/2.
• p. 12: in the equation for the expansion of a determinant by its top row the entries a_1n in the second row, and in the top row of the first two subdeterminants, should be a_2n, and in the last subdeterminant, a_{1 n-1} should be a_{2 n-1}.
• p. 67: the base change in Example 4.13 has been done in the wrong order. There is a postscript file containing a corrected version.
• p. 72: in Exercise 4.6, the last occurrence of f₁ should read f₃.
• p. 88: in the definition of v_S replace the coefficients of the u_j by their complex conjugates (equivalently, swap v and u_j in this inner product).
• p. 91: in line 12, replace P_n-1 by P_n-1(x). Similarly in line 14, replace P_n by P_n(x)
• p. 115: in the line beginning P^T = ..., the last entry of the first matrix should be 1/sqrt(11), not sqrt(11).
• p. 117: in line 15, the second partial derivative should be dF/dy not dF/dx.
• p. 121: in Proposition 7.24, add 'Hermitian matrix over' after 'or' in first line. Also add ', minus the number of i < n such that D_i, D_i+1 have different sign' at the end of the statement.
• p. 140: in Exercise 8.4, replace -y+3z by -y-2z in the definition of f.
• p. 157: the second line of P^-1 should be negated.
• p. 160: in line 14, it is not true that (A-lambda_nI)e_n = 0. In fact it is a linear combination of e₁, ..., e_n-1. Thus the induction still works, but the proof needs some slight adjustments. There is a postscript file containing a corrected version.
• p. 184: P = (3 1;1 -1), not (3 -1;1 -1).
• p. 186: in Exercise 12.8(a), 4x_n should read 4y_n.
• p. 209: in line 3, read v₂ = v₃ = ... = v_k = 0, so that v = (1,0,...,0)^T.
• p. 226: remove the minus sign from -ih in line 10 (twice) and line 14.

Contact addresses