Consider the following matrix:
A=[[1,0,1],[-1,1,0],[1,0,2]]
i. Using only column operations, find det(A).
ii. Using only the adjoint matrix, solve the linear system Ax=b, where
x=[[x_(1)],[x_(2)],[x_(3)]], and b=[[0],[1],[0]]
iii. If x is a solution to the system Ax=b mentioned in question ii above, find A^(100)x.