Consider the linear system: + 2x4 = 8 - 2x3 – 8x4 = 3 —3x2 + 2x3 + Зx4 — —17 Зх, + X2 + Xз — 2x4 3 —16 2x1 + 6x2 X1 %3D Rewrite the system of equations in Ax = b form. By hand, find the rank(A) and...

Extracted text: Consider the linear system: + 2x4 = 8 - 2x3 – 8x4 = 3 —3x2 + 2x3 + Зx4 — —17 Зх, + X2 + Xз — 2x4 3 —16 2x1 + 6x2 X1 %3D Rewrite the system of equations in Ax = b form. By hand, find the rank(A) and the rank(A|b) by reduction to ref. From your result of part (b) state whether the system has no solution, one А. В. C. unique solution, or infinitely many solutions. If the system of equations is consistent, reduce the augmented matrix further to rref and find the solution of the system (1.e. determine x,, X2, X3 and x4). Verify your solution for parts (b) and (d) using the rank() and rref() in D. Е. МАTLAB.