Linear Algebra Done Right
First Edition Errata
I tried hard to make Linear Algebra Done Right errorfree, but
spotting mistakes in one's own writing can be difficult in a booklength work.
Errors in the first edition that were reported to me are listed below. All these errors were corrected in the second or third editions.
If you notice additional errors
in the book or have suggestions for
improvements, please let me know (linear@axler.net
).
 On page 14, line 11, the "x" appearing in the equation defining W should be "y".

On page 17, line 2 from the bottom, "with equation" should be "with the equation".

On page 43, line 3 from the bottom, and page 44, lines 7 and 9, "V" should be "W".
 On page 64, last line of sidebar, "p is divided by q" should be "q is divided by p".
 On page 65, line 15, "complex" should be "real".
 On page 83, line 10 from the bottom, "is invertible" should be "is not invertible".
 On page 84, line 5, "V" should be "W".
 On page 85, equation 5.16, "w_{n1}" should be "w_j".
 On page 101, four lines above 6.16, "a_m" should be "a_n".
 On page 102, line 2, "a_m" should be "a_n".
 On page 111, lines 1 and 2, "P(R^2)" should be "P_2(R)".
 On page 117, line 5 from the bottom, "f_n" should be "f_m".
 On page 129, in the first displayed matrix, "d" should be "a".
 On page 134, six lines below 7.28, "conjugate" should be "transpose".
 On page 150, Exercise 29, "T \in F^3" should be "T \in L(F^3)".
 On page 175, there is a slight error at the end of the proof of Lemma 8.38. The lemma is certainly true, as shown by the correction to the proof. I believe that this is the only mathematical error in the first edition (1996), as the other errors are all in the nature of typos. The second edition (1997) of Linear Algebra Done Rightcontains an easier proof of Jordan Form that avoids this lemma entirely.
 On page 183, line 3, "inequality" should be "equality".
 On page 187, line 8, "c \ne 0" should be "b \ne 0".

On page 196, in 9.23, "V_M" should be "dim V_M".
 On page 197, line 3, "V_M" should be "dim V_M".
 On page 203, second line of 10.1, "u_m" should be "u_p".
 On page 204, third line below 10.5, "u_m" should be "u_n".
 On page 217, the label "10.25" should be attached to the last line,
not to the third line from the bottom.
 On page 222, line 5 from the bottom, "10.9" should be "10.30".
 On page 223, lines 13 and 14 from the bottom, "3" should be "3".
 On page 230, line 8, "y = f(x)" should be "y = \sigma(x)".
 On page 232, first line of Exercise 8, "L(V)" should be "V".