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Ans.

20 -2 4 = 1 0 0 * U11 U12 U13
-1 -10 1 121 1 0 0 U22 U23
2 3 20 131 132 1 0 0 U33
  = U11 U12 U13
L21U11 l21U12+U22 l21 U13+U23
L31U11 l31U12+l32U22 l31U13+l32U23+U33


Comparing on both sides, we get

U11=20
U12=-2
U13=4
L21U11=-1
L21 = -1/20
L21U12+U22=-10
U22= -101/10
L21U13+U23=1
U23=6/5
L31U11=2
L31=1/10
L31U12+L32U22=3
L32= -32/101

L31U13+L32U23+U33=20
U33=2018/101

L = 1
-1/20
1/10
0
1
-32/101 1
0
0
20 2 4

U = 0 -101/10 6/5  
0 0 2018/101

Ly=b
L * (Y1) = (8)
(Y1) (-3)
(Y1) (7)



By solving the above eqn, we get

Y1=8
Y2=-13/5
Y3=5.38


Now Ux = y

U * X1 8
X2 -13/5
X3 5.38

By solving the above eqn, we get


X1 =0.4247 (approx)
X2=0.289386138(approx)
X3=0.269066402(approx)

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