MATLAB

Equations $1,2,$ and $3$ make up a system of independent linear equations. Find the solution for the following system of independent linear equations. Hint: line up the a$\text{'}$s$,$ b$\text{'}$s$,$ and c$\text{'}$s on the left side of the equal sign with integers landing on the right hand side. Solve using the Matrix Algebra method. Store the Matrix of Coefficients as variable "MatrixA", the right hand side values as variable $"$RHSb$",$ and store the solution for a in the variable $"$a$",$ the solution for b in the variable $"$b$",$ and the solution for c in the variable $"$c$".$ Equation $1$: $10+2=257$ Equation $2$: $3213+4=0$ Equation $3$: $6+2=143$

$2.$ Using the plot$3$ function, plot the solution point $[$a$,$b$,$c$]$ with property name$-$property value pairs: marker, o$,$ markerfacecolor, $[100].$

$3.$ Convert and graph Equation $1$ only in the form of c $=$ f$($a$,$b$)($meaning: solve for c in terms of a and b$)$ using the range of a from $-5$ to $5($a $=[-5,5]),$ and the range of b from $-5$ to $5($b $=[-5,5]).$ Hint: Create a and b vectors first, then convert them to a and b matrices using the meshgrid function, prior to solving for the C matrix. Graph the plane using the surf function with property name$-$property value pairs: facecolor, $[001],$ 'edgecolor', $[0,0,1].$ Remember to use the hold$($on$)$ command to allow both graphs $($plot$3$ and surf$)$ to appear in the $3$D Cartesian coordinate system.