Compute the value of the function y = xe-x cos (2x) when x = 10. 2. MATRICES (a) Construct…

Question:

Transcribed Image Text:

Compute the value of the function y = x¹e-³x cos (2x) when x = 10.

2. MATRICES

(a) Construct a matrix A, where

A =

1

3 5 7)

10 8 6 4

2 4 68

3

5 7 9,

(b) Construct matrix Bfrom A, where Btakes only the third and fourth columns of the

first and second rows.

3. VECTOR AND MATRIX

(a) Construct a vector vsuch that

v(n) = 15e “cos(0.125лn)

(b) Generate a 5 x 5 matrix Mwith elements

x = 1 to 5

M (x, y) = x²y

You can only use one line to complete the task.

n = 0, 1, 2, 3, …, 20 4. LOOPS

(a) Using FOR loops, generate a 6 x 6 matrix with elements (x, y= 1 to 6)

Y(x, y) = 2x + y²

(b) Using WHILE Loops to compute the value of

2023 Fall

i=20,j=5

Σ i+2j

i=0,j=0 5. PLOT

(a) Plot y(t) and z(t) on the same graph, for 1st≤5 (with 1000 data points), such that

y(t) = 3e-0.5t cos(x²)

z(t) = 2-y(t)

(b) Plot the following four signals on the same graph (set the step size to 0.2)

a(t₁) = 1 + t

b(1₂) = cos(2₂)

c(13) = (2+)²

d(14) = 514-8

a

с

b

d

,-5