10.3 (a) Solve the following system of equations by LU decomposition without pivoting X1 +7x2- 4x3 = -51 4x1 - 4x2 +9x3 = 62 12х1 - х2 + 3хз — 8 %3D (b) Determine the matrix inverse. Check your results by verifying that [A][A] = [1].

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Chapter7: Matrices And Determinants
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Numerical method
Numerical method
A (Ctrl) -
10.3
(a) Solve the following system of equations by LU decomposition
without pivoting
X1 +7x2 – 4x3 = -51
4x1 – 4x2 + 9x3 = 62
12x1 – x2 + 3x3 = 8
(b) Determine the matrix inverse. Check your results by verifying
that [A][A] = [].
Transcribed Image Text:Numerical method A (Ctrl) - 10.3 (a) Solve the following system of equations by LU decomposition without pivoting X1 +7x2 – 4x3 = -51 4x1 – 4x2 + 9x3 = 62 12x1 – x2 + 3x3 = 8 (b) Determine the matrix inverse. Check your results by verifying that [A][A] = [].
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