a) Shau that how nonsingular square matrix is factored LU decomposition. Describe steps of W clecomparti by to factor matrix. Factor matrices the following into the LU decompositian using Factorization Algonithm. the LU A 2 %3D 45 3. 2028

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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a) Shau that
how
nonsingulor square
metrix is
factored
LU decomposition. Describe steps of W cleconpatin
by
to factor
matrix. tactor the folloing matrices
into the
LU decomposition using the
Factorization Algorithm.
LU
2.
A =
2.
2.
4 5
c) Solue the system
LU factori zatian with
Ax=b
by the
て
d) Use the
LU foctoritation from (b) to solve
the system
T
A°x= b
b =C1,1.2.)'.
with
Transcribed Image Text:a) Shau that how nonsingulor square metrix is factored LU decomposition. Describe steps of W cleconpatin by to factor matrix. tactor the folloing matrices into the LU decomposition using the Factorization Algorithm. LU 2. A = 2. 2. 4 5 c) Solue the system LU factori zatian with Ax=b by the て d) Use the LU foctoritation from (b) to solve the system T A°x= b b =C1,1.2.)'. with
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