(2) Use MATLAB to solve the linear algebraic system below by reducing the augmented matrix to the reduced row echelon form. Redo the problem and show your result theoretically. Do theory and simulation match? Explain.

,3 if T. . .. - \\ AssliLmearAlu; x E C C:/L|sei'S/prodH'Downloads/As5.1_LlnearAlgebra.pdf Apps E vocalemamr e StudentCenter n ShendanEletIlital E Ass.1_LinearAlgebra.pdf 1) Using MATLAB, create a row vector V with the sequence of even numbers from 2 to 36 as entries. Calculate the determinant of the matrix resulting from multiplying the transpose of V into V. Explain why this result is expected. Redo the problem and show your result theoretically. Do theory and simulation match? Explain. [2.5 marks] 2) Use MATLAB to solve the linear algebraic system below by reducing the augmented matrix to the reduced row echelon form. Redo the problem and show your result theoretically. Do theory and simulation match? Explain. [2.5marks] 7 1 8 0 x 1 A: 8 1 3 1]H=l0 9 3 5 6 Z 2 15 0 8 7 t 4 3) Using the MATLAB command for the inverse of a matrix, find the exact solution to the following system of equations. Redo the problem and show your result theoretically. Do theory and simulation match? Explain. [2.5 marks] y+z+w=6 3x+7y+w=1