Given the following, find the reduced row echelon form of the augmented matrix [A | b]. (Enter your answer as one augmented matrix.)A = 2 2 6 14 4 4 15 34 and b = 16 38RREF = Find the solution of Ax = b, where s and t are arbitrary real numbers. (Assume x2 = s and x4 = t. If a solution does not exist, enter DNE into any cell of each matrix.)

A = 2 4 1 6 4 8 3 14(a) Find the reduced row echelon form of A

Given thatA = 3 4 −2 −5 12 16 −8 −206 8 −4 −10 and b = b1 b2b3find the row echelon form of the augmented matrix [A | b]. b1 b1 + b2 b1 + b3Therefore, the system Ax = b is consistent when b satisfies the following restrictions. (Enter your answers as equations in terms of b1 and b2, and in terms of b1 and b3.)equation in terms of b1 and b2      equation in terms of b1 and b3

If a matrix is in reduced row echelon form, then it is also in row echelon form:Question 2Answera.May beb.None of thesec.Falsed.True

is this matrix in reduced row echelon form \[ \begin{bmatrix}1 & 5 & 0 & \vert & 0 \\0 & 0 & 1& \vert & 4 \\0 & 0 & 0 & \vert & 1\end{bmatrix} \]

Determine whether the following matrices are in row echelon form (but not reduced row echelon form), reduced row echelon form, or not in row echelon form. (1)[1, 0,0],[0,1,0],[0,0,0](2)[-4,8,4,-7,-2], [0,-6,1,1,1], [0,0,1,0,3],[0,0,0,1,0](3)[7,0,1],[0,6,0](4)[1,0,0,4],[0,0,0,0],[0,1,0,-6]