Question

Please select the correct option.

Find the least squares solution to the inconsistent system Ax = b 3 A = 1 1 0 110 101 [101] b = 8 2 Oa. 5 À = t -3 0 + Ob. 1 X = t -1 Ecco Beec [ cc + Oc. X = t 7 2 Od. X = t -3 + 8 11 -6 -1 Oe. À = 1 Of. 2-13

Answer 1

least square solution : slutin Ax=b (ATA) X= Atb I lo A= ba ( lo 1 10 - - - ATE 0 o 1 ATA= 4 22 2 2 lol - AT be 11 00 ( ( 3 8 14 2 10 (ATA )x= ATS 4 2 2 14 22 X = lo 20 2

42L .:))-( 202 Consider caugmented matrix 42 2- 14 2 2 4 202 Reduce augmented matrix to reduced rowechston form RIG! RIER, -12 R2 R&R₂ -2R, Rze Rz - 2.fi RER + R₂ 1 2 1 2 S -3 -3 202 ol-1 *1 + x3 = 5 x₂-23 = -3 di- -tz +5 *3-3 Az = free vible (*) (*)-(1)-(3):4750 let zt -) tec