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LAB 2 - Kartik Bhangal - MAT 275
Exercise 1
Part (a)
A = [-9 6 -9; 5 -2 -9; -3 -2 -8];
B = [8 16 -4; -3 19 -3; 16 5 6];
b = [26; 1; 8]; c = [2 5 -2]; d = [3; 2; 0]; AB = A * B; BA = B * A; cA = c * A; Bd = B * d;
Part (b)
C = [A; B];
D = [B d]; disp('C ='); disp(C); C = -9 6 - 5 -2 - -3 -2 - 8 16 - -3 19 - 16 5 6 disp('D ='); disp(D); D = 8 16 -4 3 -3 19 -3 2 16 5 6 0
Part (c)
x = A \ b; disp('x ='); disp(x); x = -0.
-0.
Part (d)
A(3, 3) = 0;
disp('Modified A ='); disp(A); Modified A = -9 6 - 5 -2 - -3 -2 0
Part (e)
a = A(2, :); disp('a ='); disp(a); a = 5 -2 -
Part (f)
B(:, 3) = [];
disp('Modified B ='); disp(B); Modified B = 8 16 -3 19 16 5
Exercise 2
Part (a)
Display contents of geomsum1 M-file
function s = geomsum2(r, a, n) e = 0:n-1; R = r.^e; s = sum(a * R); end disp('geomsum2 result:'); geomsum2 result: disp(geomsum2(9/11, 8, 10));
Exercise 3
Part (a)
Initiate product P. P = 1; Define starting iteration index. m = 2; Define stepsize of iteration. k = 2; Define ending iteration index. n = 18; Compute product. for i = m:k:n P = P * i; end disp('P (using for loop) ='); P (using for loop) = disp(P); 185794560 Display product.
P = prod(2:2:18); disp(P); 185794560
Part (b)
P = prod(2:2:18); disp(P); 185794560
Exercise 4
Initiate variables. power = 4; k = 1; Initialize the vector v to the empty vector v = zeros(1, ceil(log(1e7)/log(4))); % Preallocate vector size Compute powers and store in v. while power < 1e v(k) = power; power = power * 4; k = k + 1; end Display vector v. disp(v(1:k-1)); 4 16 64 256 1024 4096 16384
Exercise 5
Display contents of function f M-file.
disp('f(10) ='); disp(f(10)); f(10) = The function is undefined at x = 10 NaN Evaluate f at the given value of x. disp('f(11) ='); disp(f(11)); f(11) = 11
