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Eng1060 computing for engineers hd
Computing For Engineers (Monash University)
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EN G 1 0 6 0
M ATLAB ba sics
- Defining variables
- Syntax: variable_name = value(s)
- No special characters , . / : ; ~ ^ ! ? \
- No foreign characters Γ Ψ Ω Π ᾢ 안 녕 하 세 요 Ӫ Ɲ ũ Ậ
- Cannot start the variable name with a numerical character 0 1 2 3 4 5 6 7 8 9 Commented [tr1]: Must start with letter, is case sensitive
- No blank spaces e.g car acceleration Commented [tr2]: car_accel is acceptable
- Command window
- Treat like calculator
- Does not save work Commented [tr3]: Do work in m-files
- Operator precedence
1. Parentheses ()
2. Transpose (.’), power (.^), complex conjugate transpose (’), matrix power (^)
3. Unary plus (+), unary minus (-), logical negation (~)
4. Multiplication (.*), right division (./), left division (.\), matrix multiplication (*),
matrix right division (/), matrix left division (\)
5. Addition (+), subtraction (-)
6. Colon operator (:)
7. Less than (<=), greater than (>), greater than or equal to (>=), equal to (==),
not equal to (~=)
8. Element-wise AND (&)
9. Element-wise OR (|)
10. Short-circuit AND (&&)
11. Short-circuit OR (||)
- Built-in functions Commented [tr4]: Built-in variables
e.g. Imaginary number, Euler’s number, infinity, pi, NaN, etc.
– sqrt, mod, rem
– log, log10, exp
– sin, cos, tan
– round, ceil, floor = round to nearest, round down, round up
– min, max, sign
- Built-in commands Commented [tr5]: help <function name> or
doc <function name> for MATLAB help
clc: Clears the command window
clear all: Clears all variables
close all: Closes all figure windows
fclose all: Closes all files opened by MATLAB
who: Lists existing variables
whos: Lists existing variables and other properties
dir: Lists everything in the current directory
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, lOMoARcPSD|5967629
M a t r ice s
• A matrix is a variable with multiple values
• Also called arrays
- Creating 1D matrices (vectors) Commented [tr6]: Use apostrophe/transpose operator ‚
to convert row to column or visa versa
- Square brackets [ ] to create matrices
- Row vectors are horizontal
Syntax: A = [1 2 3 4] or A = [1, 2, 3, 4]
- Column vectors are vertical
Syntax: B = [5; 6; 7; 8]
- The Colon Operator Commented [tr7]: Use colon if given step size
- Creates a vector with equally spaced values using a specified spacing
- Syntax: start_value : step : end_value Commented [tr8]: Default step of 1 if step is omitted
A = [6 7 8 9 10] or A = 6 : 1 : 10 or A = 6 : 10
B = [6 11 16 21 26] or B = 6 : 5 : 26
C = [6 4 2 0 -2 -4] or C = 6 : -2: -4
- Colon operator to create column vectors?
Use round brackets with apostrophe: A = (1 : 20)’
- The linspace Function Commented [tr9]: Use linspace if given no. of values
- Create a vector with equally spaced values using a specified number of points
- Syntax: linspace(start_value, end_value, num_of_points)
A = [1 2 3 4 5 6] or linspace(1, 6, 6)
B = [3.8510 4.5158 5.1807 5.8455 6.5103 7.1752 7.84] or
B = linspace(3.851, 7.84, 7)
- Creating 2D matrices
- A 2-dimensional matrix contains multiple rows and columns
- Use square brackets [ ] to create a 2 dimensional matrix Commented [tr10]: Rows then columns
MATLAB refers to the rows first, then the columns
A = [1 2 3; 4 5 6] (2 × 3 matrix) or using colon operator A = [1:3; 4:6]
- Matrix concatenation & functions
- Matrices can be concatenated to make larger matrices
- Matrices can only join if one of their dimensions are the same
- Matrices can be created using
A = zeros(rows, columns)
B = ones(rows, columns)
C = eye(rows, columns) identity matrix I
D = rand(rows, columns)
- Matrix properties can be obtained using
Longest_side = length(matrix)
[rows, columns] = size(matrix)
Downloaded by IAN NJUGUNA ()
Eng1060 computing for engineers hd
Computing For Engineers (Monash University)
StuDocu is not sponsored or endorsed by any college or university
Downloaded by IAN NJUGUNA ()
, lOMoARcPSD|5967629
EN G 1 0 6 0
M ATLAB ba sics
- Defining variables
- Syntax: variable_name = value(s)
- No special characters , . / : ; ~ ^ ! ? \
- No foreign characters Γ Ψ Ω Π ᾢ 안 녕 하 세 요 Ӫ Ɲ ũ Ậ
- Cannot start the variable name with a numerical character 0 1 2 3 4 5 6 7 8 9 Commented [tr1]: Must start with letter, is case sensitive
- No blank spaces e.g car acceleration Commented [tr2]: car_accel is acceptable
- Command window
- Treat like calculator
- Does not save work Commented [tr3]: Do work in m-files
- Operator precedence
1. Parentheses ()
2. Transpose (.’), power (.^), complex conjugate transpose (’), matrix power (^)
3. Unary plus (+), unary minus (-), logical negation (~)
4. Multiplication (.*), right division (./), left division (.\), matrix multiplication (*),
matrix right division (/), matrix left division (\)
5. Addition (+), subtraction (-)
6. Colon operator (:)
7. Less than (<=), greater than (>), greater than or equal to (>=), equal to (==),
not equal to (~=)
8. Element-wise AND (&)
9. Element-wise OR (|)
10. Short-circuit AND (&&)
11. Short-circuit OR (||)
- Built-in functions Commented [tr4]: Built-in variables
e.g. Imaginary number, Euler’s number, infinity, pi, NaN, etc.
– sqrt, mod, rem
– log, log10, exp
– sin, cos, tan
– round, ceil, floor = round to nearest, round down, round up
– min, max, sign
- Built-in commands Commented [tr5]: help <function name> or
doc <function name> for MATLAB help
clc: Clears the command window
clear all: Clears all variables
close all: Closes all figure windows
fclose all: Closes all files opened by MATLAB
who: Lists existing variables
whos: Lists existing variables and other properties
dir: Lists everything in the current directory
Downloaded by IAN NJUGUNA ()
, lOMoARcPSD|5967629
M a t r ice s
• A matrix is a variable with multiple values
• Also called arrays
- Creating 1D matrices (vectors) Commented [tr6]: Use apostrophe/transpose operator ‚
to convert row to column or visa versa
- Square brackets [ ] to create matrices
- Row vectors are horizontal
Syntax: A = [1 2 3 4] or A = [1, 2, 3, 4]
- Column vectors are vertical
Syntax: B = [5; 6; 7; 8]
- The Colon Operator Commented [tr7]: Use colon if given step size
- Creates a vector with equally spaced values using a specified spacing
- Syntax: start_value : step : end_value Commented [tr8]: Default step of 1 if step is omitted
A = [6 7 8 9 10] or A = 6 : 1 : 10 or A = 6 : 10
B = [6 11 16 21 26] or B = 6 : 5 : 26
C = [6 4 2 0 -2 -4] or C = 6 : -2: -4
- Colon operator to create column vectors?
Use round brackets with apostrophe: A = (1 : 20)’
- The linspace Function Commented [tr9]: Use linspace if given no. of values
- Create a vector with equally spaced values using a specified number of points
- Syntax: linspace(start_value, end_value, num_of_points)
A = [1 2 3 4 5 6] or linspace(1, 6, 6)
B = [3.8510 4.5158 5.1807 5.8455 6.5103 7.1752 7.84] or
B = linspace(3.851, 7.84, 7)
- Creating 2D matrices
- A 2-dimensional matrix contains multiple rows and columns
- Use square brackets [ ] to create a 2 dimensional matrix Commented [tr10]: Rows then columns
MATLAB refers to the rows first, then the columns
A = [1 2 3; 4 5 6] (2 × 3 matrix) or using colon operator A = [1:3; 4:6]
- Matrix concatenation & functions
- Matrices can be concatenated to make larger matrices
- Matrices can only join if one of their dimensions are the same
- Matrices can be created using
A = zeros(rows, columns)
B = ones(rows, columns)
C = eye(rows, columns) identity matrix I
D = rand(rows, columns)
- Matrix properties can be obtained using
Longest_side = length(matrix)
[rows, columns] = size(matrix)
Downloaded by IAN NJUGUNA ()
