**Linear algebra**, by
R.W.Kaye and
R.A.Wilson,
can be obtained from all good bookshops, or from the publishers,
Oxford University Press as a
paperback (ISBN 0198502370) or hardback (ISBN 0198502389).

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.'**

The following errors and misprints have already been found. If you
have found any others, please email me at `R.W.Kaye AT bham.ac.uk`.

- 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 pdf file and a postscript file containing a corrected version.
- p. 72: in Exercise 4.6, the last occurrence of
**f**_{1}should read**f**_{3}. - 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
_{n}I)e_{n}= 0. In fact it is a linear combination of e_{1}, ..., e_{n-1}. Thus the induction still works, but the proof needs some slight adjustments. There is a pdf file and 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 v
_{2}= v_{3}= ... = 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.

Dr. R.W.Kaye (Senior Lecturer in Pure Mathematics)

School of Mathematics and Statistics

The University of Birmingham

Edgbaston

Birmingham B15 2TT

U.K.

Prof. R.A.Wilson (Professor of Pure Mathematics)

School of Mathematical Sciences

Queen Mary, University of London

Mile End Road

London E1 4NS

U.K.

Last updated 2nd January 2012.