please do not provide solution in image format thank you! Given the tridiagonal matrix1.45 0.087000.37 1.0722 0.588 000work out the values ,i=1,...,4 and u,,i = 1,...,3 in the LUfactorisation A = LU with110 00.370 000.78 13 010 0 0.21 140 0 1Use the LU factorisation to solve the system Az = =b withL=b=0.78 1.5468 0.64380.21 1.27180(c) 210124.19572-5.410072-0.7926845.0599=1, 11₂ =Ufor i=1,...,4Use at least 6 decimal places for your calculations and specifyyour final results to 2 decimal places.(a) 4₁=1,4₂ =0.43=C(b) u2.[1 ul00 001 u2 0u31. Ug =x3 =24

Answered: Image /qna-images/answer/ff206693-e883-4d43-aa07-f5f5669318bc.jpg

Given the tridiagonal matrix [1.45 0.087 0 0.37 1.0722 0.588 0 0 work out the values ,i=1,...,4 and u,,i=1,...,3 in the LU factorisation A=LU with L= 0 0.78 1.5468 0.6438 0 0.21 1.2718 0 01 0 0 0.78 13 0 0 0.21 14 Use the LU factorisation to solve the system Az = b with b= 0 11 0.37 0 0 12 -4.19572 -5.410072 -0.792684 5.0599 ,U = [1 ul 0 0 0 1 u2 0 0 0 1 u3 0 0 1