Linear algebra – counting operations. 1- Prove that the forward substitution with the matrix L…

Linear algebra - counting operations.
1- Prove that the forward substitution with the matrix
L takes
M / D and the same number of A / S. Count the
operations here and in the other questions, first write
algorithm and then proceed to counting.
2- To prove that the calculation in
1 take M / D and - A / S (the factorization is known; do not take into account the
particular structure of the right-hand side I. For the right strategy to calculate
the inverse of A when we know L and U. (this does not imply
no calculating the inverses of L and U!)
3- To prove
that the calculation in 1.b
take M / D and A / S for each member on the right.
4-Use the results in 2 and 3 to identify the most advantageous strategy between strategy I and strategy II depending on

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