The voltages $V_1,V_2$ and $V_3$ of a circuit are expressed as:

$V_1+4V_3=3$

$-2V_1+5V_2-4V_3=4$

$-V_2+5V_3=3$

Write a MATLAB script to find $V_1,V_2$ and $V_3$ in matrix form $Ax=b.$

a$)$ the script must ask user to input the coefficient matrix A and vector $b$

b$)$ the script must display the determinant of $A,$ inner dimensions of $A^{-1}b$

c$)$ the script must check whether determinant of $A$ is not zero and the inner dimensions of two matrices $A^{-1}b$ are the same before the script calculate the roots using the matrices

d$)$ the script must display the values of $V_1,V_2$ and $V_{3.}$

Explain the code.