Solve the following equations by inversion method.
X+3y+3z = 12, x+4y+4z = 15 and x+3y+4z = 13
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Answer:
A+B=B+A please mark me brilliant
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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)
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