Question

Given A and b to the right, write the augmented matrix for the linear system that corresponds to the matrix equation Ax=b. Then solve the system and write the solution as a vector. A= 1 2 - 1 1 5 2 52 2 b = 19 -5 Write the augmented matrix for the linear system that corresponds to the matrix equation Ax = b. Select the correct choice below and fill in any answer boxes within your choice. OA. OB. Solve the system and write the solution as a vector. Select the correct choice below and fill in any answer boxes within your choice O A. X = OB. X=

Answer 1

4 2 5 A= i b= 19 5 2 2 Augmented matrix is T 2 - 4 2 5. 2 19 -5 5 2 To find solution of Ax=b, we will reduce the augmented matrix to its reduced row echelon form 4 z R2 - Ri R35R, 0 -8 7 2 - 1 2 -) 2 2 O 3 3 19 15 5 2 15 -25 2 - 4 Rz -> - - 5 - 25 -8 7 2 -1 Rota RA 15 R3 4 5 15 - O 15 ī 2 -) > G 5 0 o R + R2 3 - O 4 R2-23 1

Date Systen is reduced to x + 3y tozog oxt y toz - 4 oxtoyt z Ottэ у g y = 4 Z x + 3 (4)=9 X = 9-12 a=(3) Solution is the F-3 al У Z %