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Songbingzhi628 committed Feb 21, 2025
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这是我整理的*Linear Algebra Done Right, 4th/3rd E* 的习题答案和课文补注。范围覆盖所有第三版和第四版的课文和习题(除了第一章A节、极少数结合上下文太过显而易见的习题、没有任何日后反复推敲价值的“当堂习题”和方法套路过于雷同的习题)。
- 习题答案中,有我完全独立思考得出的,有抄 <https://linearalgebras.com/> 的, 有抄 <https://math.stackexchange.com/> 的, 有抄*LADR2eSolutions(By Axler).pdf*,有抄最新的*LADR4eSolutions经典最全(By Axler?).pdf*,还有请教别人,乃至请教AI得出来的。
> 上面这些文档的许可证件,除 *LADR4eSolutions经典最全(By Axler?).pdf* 找不到/没有指明外,都允许分发/复制/引用。
- 课文补注中,除了我独立思考总结出的易错误区和技巧、难点之外,还(因为我想要兼容那些使用LADR第三版纸质书的读者,包括我在内)把LADR4e中对课文定理等等的修改也(作了简化和提炼)摘录上去
- 课文补注有我独立思考总结出的易错误区和技巧、难点
- 题目标号为正常数字**N**的,为第三版某章某节第**N**题(有个别题是第四版又删去的,这里,或直接摘录,或合并简化,仍然作保留;还有个别题是第四版增添条件、设问的,也一并写在第**N**题下)。
- 题目标号为实心黑点的,为第四版。因为要面向以第三版为主要教材的学习者,所以为了避免混淆,故而将题号(部分题目的实心黑点后有标注具体第四版的数字标号)、甚至章节略去(一些变动过大的章节除外)。
- 题目顺序会有调换,在每章大标题处会交代清楚。
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- The solutions are not all originally written by me. Many of those are copied or abridged from <https://linearalgebras.com/>, <https://math.stackexchange.com/>, *LADR2eSolutions(By Axler).pdf* , *LADR4eSolutions经典最全(By Axler?).pdf*. And some of those solutions, are adaptions/implementations of the results of chatting with other people informally, or even with AI.
> The copyright notices of the documents mentioned above, except for that of *LADR4eSolutions经典最全(By Axler?).pdf* ( not specified/found ), permit distributing and copying.
- The notes for the textbook include efficient tools, misconceptions, and error-prone points. For the sake of compatibility with the 3rd Edition, I copied/abridged/adapted the new results appeared in the 4th Edition in my notes.
- The notes for the textbook include efficient tools, misconceptions, and error-prone points.
- The plain number tags for Exercises are the same in the 3rd Edition. Some Exercises in 3rd Edition are disappeared/modified ( with some conditions or questions added or removed ) in the 4th Edition. I saved them in my manual by copying directly, or merging ( all remain in the original number tags, but may not remain in the original position ).
- Because **I use indices of the 3rd Edition**, so in order to avoid confusion, the Exercises in bullet point tags are for 4th Edition, ( some of them are modified by me, ) and some of them are followed by number tags in 4th Edition. Except for great changes in whole chapter in 4th Edition.
- The order of Exercises for each chapter may not be the same with the textbook. I note that clearly after the big chapter title.
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