Use Gaussian elimination method to solve the system of linear equations {x + 2y = 10 -2x + 4y + 8z = 4 8x - 8z = 8 Find the equation of the parabola y = a + bx + cx^2 that passes through the points. (1, -3), (2, -4), (3, --9) Irrigation. An irrigation system allows water to flow in the pattern shown in the figure below. Water flows into the system at A and exits at B, C, D, and E with the amounts shown. Using the fact that at each point the water entering equals the water leaving, formulate an equation for water flow at each of the five points. If possible, find 5A - 4B. A = [1 9 -8 8 -3 -7], B = [-3 -1 -3 -2 1 -7] Solve 3X + 2A = B for X when A = [-3 1 -3 0 -5 5] and B = [0 -14 10 8 1 10].
Show transcribed image textUse Gaussian elimination method to solve the system of linear equations {x + 2y = 10 -2x + 4y + 8z = 4 8x - 8z = 8 Find the equation of the parabola y = a + bx + cx^2 that passes through the points. (1, -3), (2, -4), (3, --9) Irrigation. An irrigation system allows water to flow in the pattern shown in the figure below. Water flows into the system at A and exits at B, C, D, and E with the amounts shown. Using the fact that at each point the water entering equals the water leaving, formulate an equation for water flow at each of the five points. If possible, find 5A - 4B. A = [1 9 -8 8 -3 -7], B = [-3 -1 -3 -2 1 -7] Solve 3X + 2A = B for X when A = [-3 1 -3 0 -5 5] and B = [0 -14 10 8 1 10].