Hi dear tutors,

Can you please help me answer and explain the following math question (Linear Algebra) step by step?

Thanks a lot!

Consider the following system of equations. To get full points, show me your work or explain your reasoning. {8 points) x1+2x2+3x3 + x4 =9 2x1 + 4x2 + 6x3 + 2x, = 18 x1 2x2 2x3 2.x4 = '.7 a] Express the above system as a vector equation. [1} Use an augemented matrix to reduce row echelon form to find the solutions of this system. Express your soltuion set in parametric vector form. c} Which yariableare free? Which are basic? d} Without doing any additional work, determine whether or not the following system has non triyial solutions. Explain your answer. x1+2x2+3x3 + x4 =9 2x1 +4x2 +6x3 + 2x, = 18 'XlZIZZXE 2X4 2