Function and Vector operations.

Define $2$ vectors and name them vec$1$ and vec$2$ both with $3$ elements. vec$1=[1,2,3]$ and vec$2=[4,5,6]$

Calculate the dot product and the cross product of vec$1$ and vec$2.$

Write a function called BE$1607\_$RESIT$\_$Function.m that takes in $2$ vectors and output the dot product $($scalar product$)$ of the two input vectors.

Test this on vec$1$ and vec$2$

Solving Linear Equations:

Consider the system of linear equations:

$6x_1+2x_2=22$

$x_1+4x_2=11$

Create the coefficient matrix A and the constant vector $b.$

Solve the system using the inverse matrix method in MATLAB.

Find the eigenvalues and eigenvectors of $A.$

Data Modelling and Plotting:

Type load polydata in MATLAB. This will load $4$ arrays $x,y,x1$ and $y1.$

Plot the data with $x1$ on the horizontal axis and $y1$ on the vertical axis.

with grid lines, axis labels, a dotted red line style and title of your choice.

Add to the plot the line plotting $x$ against $y$ with a blue solid line.

Add a legend.