Linear algebra / matlab, answer all parts please

4. Suppose the consumption matrix for four sectors is given by M (0.02 0 0.02 0.04 0 0.01 0.05 0.04 = | 0.03 0 0.01 0.02 0.02 0.05 0.010 (a) Find the smallest i so that I + M + ... + M is the same as I+M +...+M-1 to the fourth decimal digit. (b) Write down the matrix I + M + ... + Musing your i from part (a). (c) Use this to find an approximation for how production for Product 2 must change if the demand for Product 4 changes by - 7.3