Basic MATLAB (3)

Operation of 1.MATLAB

This is a description of the operators in MATLAB. There are arithmetic operators, relational operators, and logical operators, respectively.

Table 3.1 Arithmetic operators

Operator	Description	Operator	Description
+	Addition	.\	Left Division
-	Subtraction	\	Matrix Left Division
.*	Multiplication	.^	exponentiation
*	Matrix multiplication	^	Matrix exponentiation
./	Right Division	.‘	Transpose
/	Matrix Right Division	‘	Matrix to rank, complex to conjugate

Table 3.2 Relational operators

Operator	Description	Function
<	Less than	Lt (A, B)
<=	Less than or equal	Le (A, B)
>	Greater than	GT (A, B)
>=	Greater than or equal	GE (A, b)
==	Constant equals	EQ (A, B)
~=	Not equal to	NE (a)

Table 3.3 logical operators and Function tables

Operator	Description	Function
&	and arithmetic	and (A, B)
|	or arithmetic	Or (A, B)
~	Non-operational	Not (a)
Xor	XOR or	XOR (A, B)

Matrix of 2.MATLAB

Table 3.4 Constructing a special matrix function table

Function	Description
Ones (n); Ones (N,m)	Create a matrix with 1 elements
Zeros (n); Zeros (n,m)	Create a matrix with 0 elements
Eye (n); Eye (N,m)	Create a matrix with a diagonal element of 1 and all other elements as 0
Diag (v);  Diag (X);  Diag (V,K); Diag (X,k)	Turns a vector into a diagonal matrix, or a diagonal element of a matrix
Magic (N)	Build a square so that each row, column, and diagonal elements are equal
RAND (n); Rand (N,M)	Create a uniformly distributed random matrix with an element value between 0 and 1
RANDN (n); RANDN (N,M)	Establish a random matrix of standard normal distribution
Randperm (N)	Set up a randomly arranged vector of the specified integers

Table 3.5 Matrix Merge function table

Function	Description
Cat (Dim,a,b)	Merges A and b matrices in the specified direction dim, and if Dim=1 is a horizontal merge, dim=2 is vertically merged
Horzcat (A, B)	Horizontal Merge Matrix
Vertcat (A, B)	Vertical Merge Matrix
Repmat (A,m,n)	Copy the matrix and merge it into a new matrix
Blkdiag (A, B)	Known matrices merged into diagonal matrices

(1) Example: Using Functions Repmat () and Blkdiag () to create matrices

Close all; Clear all; clc;% Close all graphics windows, clear all variables in the workspace, empty command line A=eye (3); B=rand (3); C1=repmat (a,2,3);% copies the matrix into a new matrix C2=blkdiag (A, b);% merges matrices into diagonal matrices

　　

Run results

(2) Example: Matrix A split to re-establish matrix

Close all; Clear all; clc;% Close all graphics windows, clear all variables in the workspace, empty command line A=magic (5); B=a (:, [2 4]);% extracts the 2nd and 4th columns of matrix A matrix bc=a ([1 3],[2 4]);% extracts the 1th and 3rd rows in matrix A, the 2nd column and the 4th column elements constitute the matrix cd=a (1:3,3:4);% extracts 1 to 3 rows in matrix A, The elements in the 3 to 4 columns form the new matrix De=a ([1:3;4 5 7;10:12]); The element with the single subscript 1 to 3 in matrix A is the first row, the element labeled 4,5,7 is the second row, the subscript is 10 to 12, and the third row is the matrix E

　　

(3) Determinant of Phalanx: det ()

(4) Matrix transpose Matrix: Transpose ()

(5) Inverse matrix: Inv (A); Pseudo-Inverse matrix: PINV (B)

[If the matrix is not a square, or a square with a non-full rank, the matrix has no inverse matrix, but the pseudo-matrix can be obtained ]

(6) Rank of matrix: rank ()

3.MATLAB Control Statements

(1) For statement

    For loop control variable = expression 1: Expression 2: Expression 3    statement    end%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% for    loop control variable = array expression    statement    end

　　

(2) While statement

  While-relational expression  statement  end

(3) If statement

  If expression  statement 1  Else  statement 2  end%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%  If expression 1  statement 1  ElseIf Expression 2-  statement 2 ...  ElseIf expression n  statement n  Else  statement n+1  End

　　

(4) Switch statement

  Switch  expression case  expression 1  statement 1 case  expression 2  statement 2  ... CASE expression N  statement n  Otherwise  statement n+1  End

(5) Try statement: Error Capture statement

  Try   statement 1  catch  statement 2  End

　　

(6) Break statement: You can jump out of the loop from this loop body, execute the closing sentence end of the next statement.

(7) Return statement: Terminates the run of the called function and returns to the calling function.

(8) Pause statement: If the call format is pause, the program is paused, press any key to continue, or pause (n), the program pauses for n seconds, and the call format is pause on/off, allowing/prohibiting subsequent programs to pause.

(9) Continue statement: can end this cycle, will skip the subsequent loop body statement, the next cycle.

Basic MATLAB (3)