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[ÇóÖú] matlab ¾ØÕó·½ÃæµÄ±à³Ì Çó°ïæ ÒÑÓÐ3È˲ÎÓë

a=
     [1     0     0     0     0     1     0     0     0     0;
     0     1     0     0     0     0     1     0     0     0;
     0     0     1     0     0     0     0     1     0     0;
     0     0     0     1     0     0     0     0     1     0;
     0     0     0     0     1     0     0     0     0     1;
     0     0     0     0     0     1     0     0     0     0;
     0     0     0     0     0     0     1     0     0     0;
     0     0     0     0     0     0     0     1     0     0;
     0     0     0     0     0     0     0     0     1     0;
     0     0     0     0     0     0     0     0     0     1];
ÔõÑù½«Õâ¸ö¾ØÕó±ä³É¶Ô½Ç¾ØÕ󣬲»Óú¯Êýeig(a)£¬Çó´ó¼ÒÖ¸µã°ïæÔõÑùдÕâ¸ö³ÌÐò£¬ÒòΪÎÒÐèÒªÖªµÀ±ä³É¶Ô½Ç¾ØÕóµÄ¹ý³Ì£¬¿ÉÄÜÓõ½¹ý³ÌÖеÄһЩ¼ÆËã½á¹û¡£ @laosam280
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ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

yogort

Ìú¸Ëľ³æ (ÕýʽдÊÖ)

¡¾´ð°¸¡¿Ó¦Öú»ØÌû

¸Ðл²ÎÓ룬ӦÖúÖ¸Êý +1
rref»òrrefmovie

» ±¾ÌûÒÑ»ñµÃµÄºì»¨£¨×îÐÂ10¶ä£©

2Â¥2016-09-11 16:20:36
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

FMStation

ÖÁ×ðľ³æ (ÖªÃû×÷¼Ò)

¡¾´ð°¸¡¿Ó¦Öú»ØÌû

¸Ðл²ÎÓ룬ӦÖúÖ¸Êý +1
http://www.ece.utah.edu/eceCTools/LinearAlgebra/EigenValVec/Diagonalization/LinAlgEigenDiagMatlabEx.pdf
CODE:
syms a b c d
syms A S D

A = [a, b; c, d]
A =
[ a, b]
[ c, d]

[V,D] = eig(A)
V =
[ -(-1/2*a+1/2*d-1/2*(a^2-2*a*d+d^2+4*b*c)^(1/2))/c, -(- 1/2*a+1/2*d+1/2*(a^2-2*a*d+d^2+4*b*c)^(1/2))/c]
[ 1, 1]
D =
[ 1/2*a+1/2*d+1/2*(a^2-2*a*d+d^2+4*b*c)^(1/2), 0]
[ 0, 1/2*a+1/2*d-1/2*(a^2-2*a*d+d^2+4*b*c)^(1/2)]

Snum = [-1,1;1,0]'
Snum =
-1 1
1 0

Dnum = [2, 0; 0, 3]
Dnum =
2 0
0 3

Anum = Snum * Dnum * inv(Snum)
Anum =
3 1
0 2

[Vnum,Dnum] = eig(Anum)
Vnum =
1 -0.70711
0 0.70711
Dnum =
3 0
0 2

» ±¾ÌûÒÑ»ñµÃµÄºì»¨£¨×îÐÂ10¶ä£©

3Â¥2016-09-12 10:25:48
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

ÎÒ»³ÄîµÄTQ

ľ³æ (ÖøÃûдÊÖ)

¡¾´ð°¸¡¿Ó¦Öú»ØÌû

¸Ðл²ÎÓ룬ӦÖúÖ¸Êý +1
½«Ò»¸ö¾ØÕó±ä³É¶Ô½ÇÕ󣿣¿£¿ÊÇP¡®AP=B£¬BÊǶԽÇÕó£¬Õâ¸öÒâ˼ô£¿Õâ¸ö¾ØÕóÂÛ»òÏßÐÔ´úÊý¶¼Óа¡£¬Äã¿ÉÒÔ²éÒ»ÏÂ

» ±¾ÌûÒÑ»ñµÃµÄºì»¨£¨×îÐÂ10¶ä£©

MindandHand
4Â¥2016-09-12 15:52:58
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

guanmm

ľ³æ (СÓÐÃûÆø)

5Â¥2016-09-12 16:13:45
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

À²À²µÄÍÛßÇßÇ

гæ (³õÈëÎÄ̳)

Ëͺ컨һ¶ä
ÒýÓûØÌû:
4Â¥: Originally posted by ÎÒ»³ÄîµÄTQ at 2016-09-12 15:52:58
½«Ò»¸ö¾ØÕó±ä³É¶Ô½ÇÕ󣿣¿£¿ÊÇP¡®AP=B£¬BÊǶԽÇÕó£¬Õâ¸öÒâ˼ô£¿Õâ¸ö¾ØÕóÂÛ»òÏßÐÔ´úÊý¶¼Óа¡£¬Äã¿ÉÒÔ²éÒ»ÏÂ

ллÁË
6Â¥2016-09-19 16:24:46
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

À²À²µÄÍÛßÇßÇ

гæ (³õÈëÎÄ̳)

Ëͺ컨һ¶ä
ÒýÓûØÌû:
3Â¥: Originally posted by FMStation at 2016-09-12 10:25:48
http://www.ece.utah.edu/eceCTools/LinearAlgebra/EigenValVec/Diagonalization/LinAlgEigenDiagMatlabEx.pdf


syms a b c d
syms A S D

A =
A =



= eig(A)
V =


D =



Snum = '
Snum ...

лл°ïæ  ÎÒµÄÎÊÌâÒѾ­½â¾öÁË
7Â¥2016-09-19 16:25:03
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

À²À²µÄÍÛßÇßÇ

гæ (³õÈëÎÄ̳)

Ëͺ컨һ¶ä
ÒýÓûØÌû:
2Â¥: Originally posted by yogort at 2016-09-11 16:20:36
rref»òrrefmovie

лл»Ø¸´  ÎÊÌâÒѾ­½â¾ö
8Â¥2016-09-19 16:25:26
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

À²À²µÄÍÛßÇßÇ

гæ (³õÈëÎÄ̳)

ÒýÓûØÌû:
5Â¥: Originally posted by guanmm at 2016-09-12 16:13:45
²»¶®£¬Ñ§Ï°ÁË

Ò»Æðѧϰ
9Â¥2016-09-19 16:25:54
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

²èË®ÈËÉú

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10Â¥2018-03-06 15:52:43
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