Math, asked by Anonymous, 22 days ago

Solve the following equations by inversion method.
X+3y+3z = 12, x+4y+4z = 15 and x+3y+4z = 13

Answers

Answered by sika4714
0

Answer:

A+B=B+A please mark me brilliant

Answered by knjroopa
1

Step-by-step explanation:

Given Solve the following equations by inversion method. X+3y+3z = 12, x+4y+4z = 15 and x+3y+4z = 13

  • So we have  
  •                 AX = B
  •          A^-1 AX = A^-1 B
  • So X = A^-1 B
  •          Now writing the matrices we get
  •              A = 1        3          3           B = 12
  •                     1        4          4                 15
  •                     1        3         4                  13
  •  Cofactor matrix A = 4   0   -1
  •                                   -3   1    0
  •                                    0   - 1  1
  • Adj A = (cf)^+ = 4  - 3    0
  • 0 1  -1
  • -1     0   1
  • mod A = (1)(4) – (3)(0) + (3)(-1)
  •               = 4 – 0 – 3
  •                 = 1
  • So A^-1 = adj A / mod A
  •                = 1/1 (adjA)
  •                = adj A
  • So X = A^-1 B
  •         = 4  - 3  0      12         3
  •             0   1  -1      15   =     2
  •            -1   0    1     13           1
  • So (x,y,z) = (3,2,1)

Reference link will be

https://brainly.in/question/31879425

Similar questions