Question

Find the least squares solution to the inconsistent system Ax = b 110 110 3 A = b = 101 8 101 O a. 5 x = t -3 tec 5 Ob. 1 X = t -1 + -3 tec 0 2 Ос. 7 X = t -3 11 + police tec o d. -1 X = O e. 5 -3 X = Of. X = t 1 5 +-3 0 1

Answer 1

solution Ax=b inconsistent system G) b. CAL 101 4x3 4X1 ATA Y = Atb Find AT A and Alb ATA = 3x4 LOI 101] 9x3 16. 0:48) ATA - Atb 1100 0011 3x3 AT6 = 14 10 ATA A = Atb 4 2 2 21 11 1-1 2 0 2 10 14 - 0 2 0 2 10 Redues Row Echlon Form 4 2 2 14 0 2-2 -6 4 2 2 14 O 2 -2 - 6 ♡ 421*2H2P 2813= 14 - 242-283 = -6 prom Equations 2012 = -6+223 [H2=-3+H3 CS Scanned with CamScanner

putting this H2 velue in Equation & 431 +23xz)+273 =19 4x1 - 6+243 +243 = 14 404, +4X3 =14+6 421184x₂=20 111e13=5 4155-23 beef st =23 x = 5 -t --34 t fEG Least square solution 0] + GG 0 According to questions et & eG option f is correct - please supposit Paling. CS Scanned with CamScanner