Question

Solve the Following 3x3 system of linear equations using Cramer's Rule. Use the expansion by minors method to evaluate the determinants. Find the solution ordered triple and check. Show Work:

3x-2y+z=12

x+3y-2z=-9

2x-4y-3z=-4

[EXPAND ALONG ROW 1] "|" is just me manually making rows to show expansion steps

x= |_______| = |________|______|_____|______|_____|= ________=_____=

y= |_______| = |________|______|_____|______|_____|= ________=_____=

z= |_______| = |________|______|_____|______|_____|= ________=_____=

ordered triple: {(__,__)}   

Include checks on x,y,z

sorry i tried uploading picture of problem but it would not upload so i manually typed up the problem.  

  

please see photo of question if text is not clear

Solve the following 3 x 3 system of linear equations using Cramer's Rule Use the "Expansion by Minors" method to evaluate the determinants. Find the solution ordered triple and check Show work. 3x - 2y + z = 12 x + 3y - 2z=-9 2x - 4y - 324 [expand along row 1] HII ordered triple:{O , )} <<< Include checks on the back of this sheet >>>

Answer 1

OLIODAI Gramer Rule 3x-2y + 2 = 12 - AX=B - 424 Y +3y-22 =-9 an-44 32 =-4 А ( x 3 -2 II 11 3 - 21 149 72 -4 -31 L 3x3 341 Determinant of A- [AL 13 Along Ist Orow 2 Aloo D = IA = 3 3 -2 - ly-3 = 36-9-8) + 55+2-10 12 - 2 9 3 -2 -2 L 3 -2 4-3 -2 ili 3 ray-6 I To dind Dx I Replece first Column o [A I by Maxtil B. = 481 126-988) +9/27+8) + (36712) -17812 + 3880 + 24 48 -118 D

Appointments B Columna by 10 Now, Replace and D 13 12 TI column of matrix A A -2 open Along Pot Row Lo 23 (+278) 12(70) + 1 (-4+18) - 34 -12 +11 15 15 16 16 17 Now Fe To find Dz Replace 3rd Columns Matma Ay 3 - 2 2 Column of Mathy B the Detesininent Aloy Rot Row 18 - -41 open 19 20 20 3 -9 +21 - -4 -4 12 -4 +12/13 2 -4 hot nas fix+ 3) + *= Bye bye D2 = -25 that to) - TOHY 2D A2 (8

wk-36 tments Rना (393) (२५) 253-112 रविवार | SUNDAY