Question

In MATLAB:

Q1. Solve the following system of linear equations: -4x + 3y +z = -18 5x + 12y – 2z = 30 2x - 5y + 6z = 9 Q2. Given the following matrix: 1 2 A= 1-3 5 61 10 -2 3 -9 1 Define A in MATLAB and perform the following operations. Show the result and explain it. a. A*A b. A*A C. A./A d det(A) e. inv(A) Q3. Define A, B, and C in MATLAB and perform the operations: 11 -3 51 0 -2 11 1-3 4 -11 A= 2 -2 4), B = 5 1 -6, C = 0 8 2 1-2 0 6 12 -7 1] 13 5 3] a. Calculate A+B and B+A to show that addition of matrices is commutative. b. Calculate A+(B+C) and (A+B+C to show that addition of matrices is associative. c. Calculate 3(A+C) and 3A+3C to show that, when matrices are multiplied by a scalar, the multiplication is distributive. d. Calculate A*(B+C) and A*B+A*C to show that matrix multiplication is distributive. e. Calculate A*B and B*A. Are they the same? Why? PH45

Answer 1

1)

clc
clear all
close all
format long
A=[-4,3,1;5,12,-2;2,-5,6];
b=[-18;30;9];
C=A\b;
fprintf('x=%f\ny=%f\nz=%f\n',C);