The following system of equations is designed to determine concentration c (in grlm3) in a series of coupled reactors as a function of the amount of...

find the inverse of the matrix of coefficients and row-sum norm of the value

The following system of equations is designed to determine concentration c (in grlm3) in aseries of coupled reactors as a function of the amount of mass input to each reactor (theright-hand sides in gr/day): —3c1 + 18c2 — 6C3 = 1200 { 15C1 — 3C2 — C3 : 3300—4c1 — C2 + 12c3 = 2400 a) The matrix of coefficients can be written as the multiplication of two matrices in thefollowing form: —3 0 105 —3 —1[C]: —53 18 —0. 2 1 17. 4 —6.2—4 —1 12 —0. 2667 —0.1034 1 11.0920 Determine the inverse of the matrix of coefficients [.c]‘1 using the data provided above(by hand only). After finding the matrix inverse, use the inv function in MATLAB tocheck your answer. b) In the next step, using the inverse, find the values of {c}. (by hand only) 0) Determine the row-sum norm of [C] (Le, llcllm). (by hand only) Note: Write down the details of your calculations and keep 4 significant figures after thedecimal point.