Is there a list of all typos in Hoffman and Kunze, Linear Algebra? Where can I find a list of typos for Linear Algebra, 2nd Edition, by Hoffman and Kunze? I searched on Google, but to no avail.
 A: I'm using the second edition. I think that the definition before Theorem $9$ (Chapter $1$) should be 

Definition. An $m\times m$ matrix is said to be an elementary matrix if it can be obtained from the $m\times m$ identity matrix by means of a single elementary row operation.

instead of 

Definition. An $\color{red}{m\times n}$ matrix is said to be an elementary matrix if it can be obtained from the $m\times m$ identity matrix by means of a single elementary row operation.

Check out this question for details.
A: I wanted to add two more observations which I believe are typos. 


*

*Chapter 2, Example 16, Pg. 43



Example 16. We shall now give an example of an infinite basis. Let $F$ be a subfield of the complex numbers and let $V$ be the space of polynomial functions over $F.$ ($\dots \dots$)
Let $\color{red}{ f_k(x)=x_k},k=0,1,2,\dots.$ The infinite set $\{f_0,f_1,f_2,\dots \}$ is a basis for $V.$

It should have been $\color{red}{f_k(x)=x^k}$.


*Chapter 1, Theorem 8



$$[A(BC)_{ij}]=\sum_r A_{ir}(BC)_{rj}=\color{red}{\sum_r A_{ir}\sum_s B_{rj}C_{rj}}$$

It should have been
$$[A(BC)_{ij}]=\sum_r A_{ir}(BC)_{rj}=\color{red}{\sum_r A_{ir}\sum_s B_{rs}C_{sj}}$$
A: 
(Red highlight Typo in Linear Algebra by Hoffman and Kunze, page 23)

It should be $$A=E_1^{-1}E_2^{-1}...E_k^{-1}$$

Let $A=\left[\begin{matrix}2&3\\4&5\end{matrix}\right]$
Elementary row operations:
$R_2\leftrightarrow R_2-2R_1, R_1\leftrightarrow R_1+3R_2, R_1 \leftrightarrow  R_1/2, R_2 \leftrightarrow  R_2*(-1)$ transforms $A$ into $I$
These four row operations on $I$ give
$E_1=\left[\begin{matrix}1&0\\-2&1\end{matrix}\right]$,
$E_2=\left[\begin{matrix}1&3\\0&1\end{matrix}\right]$,
$E_3=\left[\begin{matrix}1/2&0\\0&1\end{matrix}\right]$,
$E_4=\left[\begin{matrix}1&0\\0&-1\end{matrix}\right]$
$E_1^{-1}=\left[\begin{matrix}1&0\\2&1\end{matrix}\right]$,
$E_2^{-1}=\left[\begin{matrix}1&-3\\0&1\end{matrix}\right]$,
$E_3^{-1}=\left[\begin{matrix}2&0\\0&1\end{matrix}\right]$,
$E_4^{-1}=\left[\begin{matrix}1&0\\0&-1\end{matrix}\right]$
Now, 
 $ E_1^{-1}.E_2^{-1}.E_3^{-1}.E_4^{-1}=\left[\begin{matrix}2&3\\4&5\end{matrix}\right]$
but, $ E_4^{-1}.E_3^{-1}.E_2^{-1}.E_1^{-1}=\left[\begin{matrix}-10&-6\\-2&-1\end{matrix}\right]$
A: More than a typo, there's a stated Corollary on page 356 in Section 9.6 that appears to be false. The details are here:
https://mathoverflow.net/questions/306759/error-in-hoffman-kunze-normal-operators-on-finite-dimensional-inner-product-spa
A: I'm using the second edition.
I will expand the errata as soon as I find some mistakes (not mentioned by other answers) in the book.
Chapter 8


*

*p. 284, Theorem 4.

(iii) $\dots$ is any orthonormal basis for $W$, then the vector

It should be orthogonal basis. The proof uses an orthogonal basis as the
condition, and the equation below is a general form with respect to an
orthogonal basis rather than an orthonormal basis.
Chapter 9


*

*p. 329, third-to-last paragraph.

If $A$ is an $n \times n$ matrix with complex entries and if $A$ satisfies (9-9),

It should be (9-8) rather than (9-9).
