Matrix-Vector Arithmetic
Create a row vector
b = [1 2 3 4]
b =
1 2 3 4
a column vector
c = [2; 4; 6]
c =
2
4
6
and a matrix
A = [1 2 3; 2 3 4; 5 6 7; 8 9 0]
A =
1 2 3
2 3 4
5 6 7
8 9 0
Two different matrix-vector products
b*A
ans =
52 62 32
or
A*c
ans =
28
40
76
52
Many MATLAB functions accept matrix arguments
sqrt(A)
ans =
1.0000 1.4142 1.7321
1.4142 1.7321 2.0000
2.2361 2.4495 2.6458
2.8284 3.0000 0
sin(b)
ans =
0.8415 0.9093 0.1411 -0.7568
exp(c)
ans =
7.3891
54.5982
403.4288
Other component-wise operations are done using the . operator
b.^2
ans =
1 4 9 16
The following is also possible
A.^A
ans =
1 4 27
4 27 256
3125 46656 823543
16777216 387420489 1