Applied maths for computing I
For these 6 matrices:
A = [3 5 2; 1 2 5; 5 9 10],
B = [3 -2; 4 -3; 7 -1],
C = [3, 2 -1; 2 1 3; -3 -2 1],
D = [1 2 5; 4 -3 6]',
E= [1 -2; 4 -1];
Which of the following pairs can be added? Find the sums of 3 first pairs
Which pairs can be subtracted? Get the differences of, then repeat in the opposite order.
Which pairs can be multiplied? Find the products
Which of these has a trace? Compute the traces?
2) U = [3, 4, 7], V = [1, -2, 4, -3], W = [7, -3, 0, -4]' and Z = [2; 5; 4; 6]'
Using necessary commands, investigate the products of following cases U*(V+W), [U;V], V*[W- Z]', W*Z', U.*V, [W Z], U'*V
Explain the concatenation matrix with the examples and check following matrices M1 = [U; V], M2 = [U V], M3 = [W’; V]
Using help, identify the command “vertcat” and create a random matrix (size: 5, 5) with integers and find A = [magic(4) B] where B = [5 9 11 2]'.
If c = [3 7; 5 9], find A(c)
If d = diag([t], -2) and t=1:2:6; find d.
Explain the output T = vertcat(A, d)
Tabulate the functions a = 2sin(3x), b = 3cos(2x) and c = 2exp(sin(x)) for x = 0:t:2pi.
Using any interval t, plot all functions separately
Plot all functions in single graph
Create a sparse 6 ´4 matrix S having only 3 non-zero values:
S2,1 = 8, S4,4 = 5andS3,4 = 11
Develop Matlab code for following operations with any 2X2
Regarding the 3D graph, following lines can be used in the Matlab editor window. [x, y] = meshgrid(-pi:pi/10:pi,-pi:pi/10:pi);
z = sin(x).*sin(y); surf(x,y,z)
Plot the 3D graph with all necessary
find the size of z
find diagonal elements of z
k = find (z > 35)
find the A = 25*z
find ceil(A) and floor(A)
We expect you to show the following points as course learning outcomes:
An ability to apply knowledge of computing and mathematics appropriate to the
An ability to use current techniques, skills, and tools necessary for computing
An ability to apply mathematical foundations, algorithmic principles, and computer science theory in the modeling and design of computer-based systems in a way that
demonstrates comprehension of the tradeoffs involved in design choices.
DescriptionIn this final assignment, the students will demonstrate their ability to apply two ma
Path finding involves finding a path from A to B. Typically we want the path to have certain properties,such as being the shortest or to avoid going t
Develop a program to emulate a purchase transaction at a retail store. Thisprogram will have two classes, a LineItem class and a Transaction class. Th
1 Project 1 Introduction - the SeaPort Project series For this set of projects for the course, we wish to simulate some of the aspects of a number of
1 Project 2 Introduction - the SeaPort Project series For this set of projects for the course, we wish to simulate some of the aspects of a number of