正文
Matlab——矩阵运算 矩阵基本变换操作
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矩阵运算
+ 加 - 减 .* 乘 ./ 左除 .\ 右除 .^ 次方 .' 转置
除了加减符号，其余的运算符必须加“.”
>> a = :a =>> a- %减法ans = -
>> 2.*a-1 %乘法 减法ans =
>> b = ::b =>> a+bans =
>> a.*bans =
>> a.' %转置矩阵ans =
矩阵基本变换操作
转置
>> a = [10,2,12;34,2,4;98,34,6]
a =
10 2 12
34 2 4
98 34 6
>> a.'
ans =
10 34 98
2 2 34
12 4 6
求逆
>> inv(a)ans = -0.0116 0.0372 -0.0015
0.0176 -0.1047 0.0345
0.0901 -0.0135 -0.0045
伪逆
>> pinv(a)ans = -0.0116 0.0372 -0.0015
0.0176 -0.1047 0.0345
0.0901 -0.0135 -0.0045
左右反转
>> fliplr(a)ans =
特征值
>> [u,v]=eig(a)u = -0.2960 -0.3635 0.3600
-0.2925 0.4128 -0.7886
-0.9093 0.8352 -0.4985v = 48.8395
-19.8451
-10.9943
上下反转
>> flipud(a)ans =
旋转90度
>> rot90(a)ans =
上三角
>> triu(a)ans =
下三角
>> tril(a)ans =
>> [l,u] = lu(a)l = 0.1020 0.1500 1.0000
0.3469 1.0000
1.0000 u = 98.0000 34.0000 6.0000
-9.7959 1.9184
11.1000
正交分解
>> [q,r] = qr(a)q = -0.0960 -0.1232 -0.9877
-0.3263 -0.9336 0.1482
-0.9404 0.3365 0.0494r = -104.2113 -32.8179 -8.0989
9.3265 -3.1941
-10.9638
奇异值分解
>> [u,s,v] = svd(a)u = -0.1003 0.8857 0.4532
-0.3031 0.4066 -0.8618
-0.9477 -0.2239 0.2277s = 109.5895
12.0373
8.0778v = -0.9506 0.0619 -0.3041
-0.3014 -0.4176 0.8572
-0.0739 0.9065 0.4156
矩阵范数
>> norm(a)ans = 109.5895>> norm(a,)ans =>> norm(a,inf)ans =
