The textbook errata of "Higher Algebra (third edition)", Fudan University

Source: Internet
Author: User

The following list does not contain errors in the Chinese publishing format, and contains only errors in the mathematical dimension and irregularities in the narrative or discourse. Please note that this errata is not updated regularly. Welcome you to the Fudan University "Advanced Generation of Mathematics (third edition)" Textbook Error and improper place to correct!

  • 43rd page, Exercise 1: $a _{1n}a_{2,n-1}a_{3,n-2}\cdots a_{n1}$.
  • The 198th page, Theorem 4.4.1, proves the 9th line: $0=\varphi_a (\alpha) =\varphi_a (\eta_1 (v)) =\eta_2 (\varphi (v)) $.
  • No. 276 page, example 6.2.3, line 4th: $A ^{10}=p\begin{pmatrix} 1 & 0 \ 0 &-2 \end{pmatrix}^{10}p^{-1}=\begin{pmatrix} 1 & 0 \ \ \dfrac{1}{3} (1-2^{10}) & 2^{10} \end{pmatrix}$.
  • No. 326, Exercise 4: You can specify any of the matrices as non-heterogeneous.
  • No. 329 page, theorem 7.8.1 (3): $J _0$ for $n $ order Jordan block.
  • Page No. 367, line 4th: $|\cos\theta|\leq 1$ must be guaranteed.
  • No. 427 page, review title 12, line 3rd: $m \leq |\lambda|\leq m$.
  • No. 428 page, review title 30, line 3rd: The sufficient condition for the establishment of an equal sign is $A \alpha=\beta$.
  • No. 445, theorem 10.3.2: In the narrative of the theorem, "$g $ on $V $ on the non-degenerate" condition can be removed, the theorem can be simplified, please refer to Fudan University "Advanced Algebra Study Guide (third edition)" Example 10.25.

The textbook errata of "Higher Algebra (third edition)", Fudan University

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