From 49f90a7f6298685b26dd7b1ddb29a2f00fd27282 Mon Sep 17 00:00:00 2001 From: Didnelpsun <2675350965@qq.com> Date: Sat, 15 Oct 2022 22:51:52 +0800 Subject: [PATCH] =?UTF-8?q?=E6=9B=B4=E6=96=B0?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- linear-algebra/exercise/5-similar/similar.pdf | Bin 97864 -> 104696 bytes linear-algebra/exercise/5-similar/similar.tex | 77 ++++++- .../6-quadratic-form/quadratic-form.pdf | Bin 86944 -> 91778 bytes .../6-quadratic-form/quadratic-form.tex | 192 ++++++++++-------- .../6-quadratic-form/quadratic-form.pdf | Bin 92977 -> 93057 bytes .../6-quadratic-form/quadratic-form.tex | 2 +- 6 files changed, 184 insertions(+), 87 deletions(-) diff --git a/linear-algebra/exercise/5-similar/similar.pdf b/linear-algebra/exercise/5-similar/similar.pdf index a811c77f4d30727722f0ba96716286bbafdbac62..ec1c1b4c4323af767c0bf9ba3ce8339d33a125d4 100644 GIT binary patch delta 89771 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b/linear-algebra/knowledge/6-quadratic-form/quadratic-form.tex @@ -167,7 +167,7 @@ $\Lambda=\left(\begin{array}{cccc} 是对实对称矩阵相似对角化的正交变换的延申。 -任何二次型均可通过正交变换法化为标准形,即对于任何实对称矩阵$A$,必存在正交矩阵$Q$,使得$Q^TAQ=Q^{-1}AQ=\Lambda$,其中$\Lambda=\left(\begin{array}{cccc} +任何二次型均可通过正交变换法化为标准形(规范形不一定能表示出),即对于任何实对称矩阵$A$,必存在正交矩阵$Q$,使得$Q^TAQ=Q^{-1}AQ=\Lambda$,其中$\Lambda=\left(\begin{array}{cccc} \lambda_1 \\ & \lambda_2 \\ & & \ddots \\

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