5 Let L = and U = Let Aj = -3 A2 = A3 = 2 8 A4 = -2 -2 Which one of the following statements is correct? L and U do not give an LU decomposition for any of the matrices A1, A2, A3, A4. O b. L and U give an LU decomposition for A2. Oc. L and U give an LU decomposition for A3. Od. L and U give an LU decomposition for A1. L and U give an LU decomposition for A4.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3
and U =
5
Let L =
-2
Let
5
A1 =
-[ ]
A2
3
3
-2
Аз
-2
5
A4
-2
-2
Which one of the following statements is correct?
O a.
L and U do not give an LU decomposition for any of the matrices A1, A2, A3, A4.
O b. L and U give an LU decomposition for A2.
O c.
L and U give an LU decomposition for A3.
O d. Land U give an LU decomposition for A1.
О е.
L and U give an LU decomposition for A4.
Transcribed Image Text:3 and U = 5 Let L = -2 Let 5 A1 = -[ ] A2 3 3 -2 Аз -2 5 A4 -2 -2 Which one of the following statements is correct? O a. L and U do not give an LU decomposition for any of the matrices A1, A2, A3, A4. O b. L and U give an LU decomposition for A2. O c. L and U give an LU decomposition for A3. O d. Land U give an LU decomposition for A1. О е. L and U give an LU decomposition for A4.
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