A complex number has a real part and an imaginary part, and the imaginary unit is the square root of -1.
sqrt(-1)
ans = 0.0000 + 1.0000i
To represent the imaginary part of a complex number, use i or j.
c = [3+4i, 4+3j; -i, 10j]
c = 2Ã2 complex
3.0000 + 4.0000i 4.0000 + 3.0000i
0.0000 - 1.0000i 0.0000 +10.0000i
To create an array with four elements per row, separate elements with commas (,) or spaces
a = [1 2 3 4]
MATLAB will execute the above statement and return the following results:
a = 1Ã4
1 2 3 4
a = [1 3 5; 2 4 6; 7 8 10]
a = 3Ã3
1 3 5
2 4 6
7 8 10
z = zeros(5,1)
z = 5Ã1
0
0
0
0
0
Concatenation is the process of joining arrays to form larger arrays. In fact, the first array is formed by concatenating its elements. Pairs of square brackets [] are concatenation operators.
A = [a,a]
A = 3Ã6
1 3 5 1 3 5
2 4 6 2 4 6
7 8 10 7 8 10
Concatenating arrays next to each other using commas is called horizontal concatenation. Each array must have the same number of rows. Likewise, semicolons can be used for vertical concatenation if the arrays have the same number of columns.
A = [a; a]
A = 6Ã3
1 3 5
2 4 6
7 8 10
1 3 5
2 4 6
7 8 10
MATLAB allows you to use a single arithmetic operator or function to manipulate all values ââin a matrix
a + 10
MATLAB will execute the above statement and return the following results:
ans = 3Ã3
11 13 15
12 14 16
17 18 20
sin(a)
MATLAB will execute the above statement and return the following results:
ans = 3Ã3
0.8415 0.1411 -0.9589
0.9093 -0.7568 -0.2794
0.6570 0.9894 -0.5440
To transpose a matrix, use single quotes (')
a'
ans = 3Ã3
1 2 7
3 4 8
5 6 10
Perform standard matrix multiplication using the * operator, which computes the inner product between rows and columns
p = a*inv(a)
p = 3Ã3
1.0000 0 0
0 1.0000 0
0 0 1.0000
matrix laboratory