> For the complete documentation index, see [llms.txt](https://y-meguro.gitbook.io/reading-record/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://y-meguro.gitbook.io/reading-record/math/mathema_linear_algebra.md).

# 線形代数キャンパス・ゼミ

## 概要

### 本

* [線形代数キャンパス・ゼミ 改訂8 | 馬場敬之](https://amzn.to/3lscVK8)

### かかった時間

* xxx 時間

### 進め方

* xxx

### 感想

* xxx

## 読書メモ

### 1: ベクトルと空間座標の基本

#### 1.1: ベクトル(大きさと向きをもった量)

* ベクトルの大きさを‖a‖で表し、「ノルム」とも呼ぶ
* 単位ベクトル e
  * ベクトル a と同じ向きの単位ベクトル e は e = a /‖a‖ となる
* 数学では、この大きさ 1 にすることを「正規化する」という
* ベクトルの内積
  * 2 つのベクトル a と b の内積 a・b を次のように定義する
    * a・b = ‖a‖‖b‖cosθ (θ: a と b のなす角)
* スカラー 3 重積 (a, b, c) = a・(b×c)
  * これは a, b, c からなる平行 6 面体の体積 V とも等しい

#### 1.2: 空間座標における直線と平面

* 直線は通る点と、方向ベクトルで決まる
* 平面は通る点と、法線ベクトルで決まる

### 2: 行列

#### 2.1: 行列の和と積


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