Question

1. Use Cramer's rule to solve this system. X + 4z = 2 2x + y -z= 1 X +z=-1 on 910 2. Given the data points (0,), (1,3), (2,5) use the equation y=f(x) = mx +b to find the least square solution for best line fit. a. Evaluate the equation using the data points to obtain four linear equations. b. Write the system in 10a in a matrix form Ax=b. durants bhonebnih 516 10 boer word

Answer 1

1. x 2x + 42 = 2 + y - z = 1 + 2 = -1. 1. for using Cramer's rule, To 47 2 1 -1 let. A = Olj, . det (A) = 1(1-0) +4(-). = 1-4 = -3. :: D = det (A) = -3. Di 120 47 Replace ist column by 'b'). 10] = 2(1-0) +4(1) = 6. :: D. = 6 Ti 2 47 Dz = det 12 Replace and column by 'b'] - 1-1 ] = f(x-x) - 2 (2+1) +4 (-2-81) = -6-12 = -18.

:: 1Do = -18 del Tel 0 ?) [Replace grid column by 'b']. Now, Dg .= det I a I I . = 1(-1) + 2 (-1) = -1 -2 = -8. 2 = -2 y = Dz = = Oon = 6 = 6. D . ly=6 on Z- on TETT X 1-2 1-2 Required Solution is do golu X عو N z di :