Use the row reduction algorithm to transform the matrix into echelon form or reduced echelon form as indicated. 3) Find the echelon form of the given matrix. [1 -3 2 4 -11 2 -2 9 5 3 -5 -1] A) [1 0 0 4 1 0 -2 3 27 3 4 17] B) [1 0 0 4 1 -6 -2 3 9 3 4 -7] C) [1 0 0 4 1 0 -2 3 27 3 4 0] D) [1 0 0 4 1 0 -2 3 15 3 4 -1] Solve the problem. 4) Let a_1 = [3 4 -4], a_2 = [-4 1 1], and b = [2 -10 6]. Determine whether b can be written as a linear combination of a_1 and a_2. In other words, determine whether we x_1 and x_2 exist, such that x_1 a_1 + x_2 a_2 = b. Determine the weights x_1 and x_2 if possible. A) x_1 = -1, x_2 = -3 B) x_1 = -2, x_2 = -2 C) x_1 = -2, x_2 = -1 D) No solution
Show transcribed image text Use the row reduction algorithm to transform the matrix into echelon form or reduced echelon form as indicated. 3) Find the echelon form of the given matrix. [1 -3 2 4 -11 2 -2 9 5 3 -5 -1] A) [1 0 0 4 1 0 -2 3 27 3 4 17] B) [1 0 0 4 1 -6 -2 3 9 3 4 -7] C) [1 0 0 4 1 0 -2 3 27 3 4 0] D) [1 0 0 4 1 0 -2 3 15 3 4 -1] Solve the problem. 4) Let a_1 = [3 4 -4], a_2 = [-4 1 1], and b = [2 -10 6]. Determine whether b can be written as a linear combination of a_1 and a_2. In other words, determine whether we x_1 and x_2 exist, such that x_1 a_1 + x_2 a_2 = b. Determine the weights x_1 and x_2 if possible. A) x_1 = -1, x_2 = -3 B) x_1 = -2, x_2 = -2 C) x_1 = -2, x_2 = -1 D) No solution