1. Solve the following systems of linear equations both by hand (manually) and by MATLAB In your MATLAB code, use i) cofactor method and ii) duplicate column method to find the inverse matrix. Compare and comments on your results based on the computation times for both the methods.

2x1 + x2 - 3x3 = 11

4x1 - 2x2 + 3x3 = 8

-2x1 + 2x2 - x3 = -6

Write your code such that your code can also workable from 2x2 to 10x10 matrix.