1、矩阵的加法
>> 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 =
3 6 9 12
15 18 21 24
27 30 33 362、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 -123、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 8804、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=AB
X =
1
-3
-25、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 4.09506、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