「線形代数学の基本」の一連の記事
- 行列と列ベクトル
- 1 線形代数は「多変数バージョンの比例」という話
- 2 行列の計算の基本!行列の積はなぜこうなる?
- 3 連立1次方程式の掃き出し法と行列の基本変形
- 4 行列とは何か?逆行列があると嬉しい理由
- 5 正則の条件を簡単に!基本変形と行列の積の話
- 6 行列のランクと,行列が逆行列をもつための条件
- 7 連立1次方程式が解をもつ条件と解の自由度
- 8 線形独立のイメージと線形独立であるための条件
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- 行列式
- 9 行列の正則性を判定できる行列式のイメージ
- 10 行列式を定義するための置換の性質を理解する
- 11 行列式は線形代数の要!置換を用いて定義する
- 12 行列式の基本性質まとめ!計算の具体例も紹介
- 13 余因子展開と行列式による正則条件を解説
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- $\R^n$の部分空間と基底
- 14 列ベクトル空間の部分空間の定義と具体例
- 15 基底の考え方を具体例から丁寧に解説!
- 16 次元の定義と基底を求める方法を具体的に
- 17 spanされる(生成される)空間の基底・次元
- 18 行列の像Im(A)の定義と具体例を理解する
- 19 行列の核Ker(A)の定義と具体例を理解する
- 20 部分空間の共通部分の基底・次元の求め方
- 21 和空間の考え方|基底の求め方も例題から解説
- 22 部分空間の直和|和空間の次元の公式も紹介
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- 固有値と固有ベクトル
- 23 対角化を固有値・固有ベクトルと併せて解説
- 24 固有値・固有ベクトルは2ステップで求める!
- 25 正方行列が対角化できる基本定理を理解する
- 26 固有空間はなぜ大切か?対角化の必要十分条件
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