Matlab中矩阵运算
2013-10-05 23:55
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1、矩阵的加法
2、矩阵的减法
3、矩阵的乘法
4、矩阵的除法
5、矩阵的乘方
6、矩阵的开方
7、矩阵的点运算
>> a = [1,2,3,4;5,6,7,8;9,10,11,12] a = 1 2 3 4 5 6 7 8 9 10 11 12 >> b = [2,4,6,8;10,12,14,16;18,20,22,24] b = 2 4 6 8 10 12 14 16 18 20 22 24 >> a + b ans = 3 6 9 12 15 18 21 24 27 30 33 36
2、矩阵的减法
>> a = [1,2,3,4;5,6,7,8;9,10,11,12] a = 1 2 3 4 5 6 7 8 9 10 11 12 >> b = [2,4,6,8;10,12,14,16;18,20,22,24] b = 2 4 6 8 10 12 14 16 18 20 22 24 >> a - b ans = -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12
3、矩阵的乘法
>> a = [1,2,3,4;5,6,7,8;9,10,11,12] a = 1 2 3 4 5 6 7 8 9 10 11 12 >> b = [2,4,6,8;10,12,14,16;18,20,22,24;26,28,30,32] b = 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 >> a*b ans = 180 200 220 240 404 456 508 560 628 712 796 880
4、矩阵的除法
>> A=[2 1 -3;3 -2 2;5 -3 -1] A = 2 1 -3 3 -2 2 5 -3 -1 >> B=[5;5;16] B = 5 5 16 >> X=A\B X = 1 -3 -2
5、矩阵的乘方
>> C = [1,2,3;4,5,6;7,8,9] C = 1 2 3 4 5 6 7 8 9 >> 2^C ans = 1.0e+04 * 0.7962 0.9782 1.1603 1.8029 2.2154 2.6276 2.8097 3.4523 4.0950
6、矩阵的开方
>> C = [1,2,3;4,5,6;7,8,9] C = 1 2 3 4 5 6 7 8 9 >> A = sqrt(C) A = 1.0000 1.4142 1.7321 2.0000 2.2361 2.4495 2.6458 2.8284 3.0000
>> C = [1,2,3;4,5,6;7,8,9] C = 1 2 3 4 5 6 7 8 9 >> A = sqrtm(C) A = 0.4498 + 0.7623i 0.5526 + 0.2068i 0.6555 - 0.3487i 1.0185 + 0.0842i 1.2515 + 0.0228i 1.4844 - 0.0385i 1.5873 - 0.5940i 1.9503 - 0.1611i 2.3134 + 0.2717i
7、矩阵的点运算
>> A = [1,2,3;4,5,6;7,8,9] A = 1 2 3 4 5 6 7 8 9 >> B = A B = 1 2 3 4 5 6 7 8 9 >> A.*B ans = 1 4 9 16 25 36 49 64 81 >> A./B ans = 1 1 1 1 1 1 1 1 1
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