-[: :]. »- [:]. - Let A B = and X = Solve the following linear system of equations: AX=B. Let A, B and C are invertible n xn matrices. If A-'B¯' = C-, then find A. (Show all work!). | If (1, – 2Q")¯ = | Find Q %3D

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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Please solve Q4 and Q5

[::] »- [:].
4.
(a) Let A-
B =
and X =
Solve the following linear system of equations: AX=B.
(b) Let A, B and C are invertible n xn matrices. If A-'B-' =C-', then find A. (Show all work!).
(e) If (1, – 2Q") ~ = |R Find Q
5.
(a) Find the LU – decomposition for the matrix
M =
10
7
1
10
-5
20
(b) Use the LU – decomposition of the coefficient matrix A given by
0 0
-1 0
1
-1
1
1
1
-2 -1
A =
-1
1
1
1
3
0 1
-1
01
4
-6
to solve the linear system AX = B, where B =
and X =
Transcribed Image Text:[::] »- [:]. 4. (a) Let A- B = and X = Solve the following linear system of equations: AX=B. (b) Let A, B and C are invertible n xn matrices. If A-'B-' =C-', then find A. (Show all work!). (e) If (1, – 2Q") ~ = |R Find Q 5. (a) Find the LU – decomposition for the matrix M = 10 7 1 10 -5 20 (b) Use the LU – decomposition of the coefficient matrix A given by 0 0 -1 0 1 -1 1 1 1 -2 -1 A = -1 1 1 1 3 0 1 -1 01 4 -6 to solve the linear system AX = B, where B = and X =
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