Q01
Write a MATLAB script named yourname_Assignment03Q01.m to solve the following system of equation
using "\", check and display the rank, compute and display the error vector (for a system of equation Ax = b
the error is calculated as follow: \|b - Ax\|_c where $x_c$ is the computed values):
$3x_1 + 6x_2 + 4x_3 = 1$
$x_1 + 5x_2 = 2$
$7x_2 + 7x_3 = 3$
Q02
Write a MATLAB script named yourname_Assignment03Q02.m to compute the inverse of $\begin{pmatrix} 1 & 5\\ 2 & 10 \end{pmatrix}$ and verify
(by adding the needed statements to the script) that when you multiply the original matrix by the inverse,
you get the identity. Make sure you display the inverse matrix as well during the calculation.
Q03
Write a MATLAB script named yourname_Assignment03Q03.m to solve the following system of equation
using rref
$2x_1 - x_2 + x_3 = 8$
$x_1 + 2x_2 + 3x_3 = 9$
$x_1 + x_2 - x_3 = 3$