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Doolittle LU decomposition

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Please see the attached problem:

Please give the complete solution, include reasoning and calculations used to arrive at answer.

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This is a problem regarding Doolittle LU decomposition.

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Please see the attached file.

According to Dolittle's Method,
*
Now, l11 = a11 = 1,
u12 = a12 = -1, u13 = a13 = 1, u14 = a14 = -2

Now, l21 = a21/u11 = 2
l21u12 + u22 = a22 = 0, or 2*(-1) + u22 = 0, which gives u22 = 2
l21u13 + ...

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