Question

14. -/12 POINTS LARLINALG8 2.1.043. Write the system of linear equations in the form Ax=b and solve this matrix equation for x. X1 - 2x2 + 3x3 = 12 -X1 + 3x2 - x3 = -7 2x1 - 5x2 + 5x3 - 22 Need Help? Read it 15. -/1 POINTS LARLINALG8 2.1.057. Find the product AA for the diagonal matrix. A square matrix 4 0 0 0 0 A 0 0 0 is called a diagonal matrix if all entries that are not on the main diagonal are zero. ( 2001 A-O-50 Looi

Answer 1

- L. The given syetem of lineas_equation_cod. - y - 2xy +32 =12 --4 +33_2= 2631 224 -5%,+5 * = 22 which can be written in Matrix form Ax=b as 12 -7 - ..2 3 -131 -5 5] 93 / 127 Now [AB] u given by - 3 - R - R + R & R3 R3 - PR 11.- 2301 NOI 0 -1 -1 2 R₂ R₂ + R₂ 2 5 cs Scanned with H -Cam Seanner

& - 2x2 +34₂ = 12 1 x2 + 2X225 - 23=31 X. 5-902 _35-2(3) 35-6 = -1 W = 12 +22,-343 = 12 +21-1-3(3) = 12-12 -9 12-11 = 1 → 19481 2=-1] [13=36 12.00 I A² A.A= 2 oo 2 0-50 0-50 OOT 1001 - yoo o 25 o Loo1 Hele : If A cling (4, 6-4 ), then A" ding Less CamScanner