4. Consider the following matrices: 2 4 -1 2 la bai 1 A - B = C = Z = 1 3 S = t= u = -3 (a) Find w2, where w1 = that w2 = Qr. Br and W2 = Aw1. Now, calculate Q = AB. Calculate Qr and verify (b) Find W3 = Qr W3, where w1 = Ar and w2 = Cwị and w3 = bw2. Calculate Q = (BC)A and verify that

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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4. Consider the following matrices:
A-[
--(8]: --[]-[]: --[
1
-1
-2 3
2 4
А-—
1
3
B =
1
C =
Z =
-1
B:
3
1
1
|
la baiT
2
4
t =
4
r
U =
0.
6.
(a) Find w2,
that w2 = Qr.
where wi
Br and W2 = Aw1. Now, calculate Q = AB. Calculate Qr and verify
(b) Find w3, where w1 = Ar and w2 = Cw1 and w3 = bw2. Calculate Q = (BC)A and verify that
W3
= Qr
Transcribed Image Text:4. Consider the following matrices: A-[ --(8]: --[]-[]: --[ 1 -1 -2 3 2 4 А-— 1 3 B = 1 C = Z = -1 B: 3 1 1 | la baiT 2 4 t = 4 r U = 0. 6. (a) Find w2, that w2 = Qr. where wi Br and W2 = Aw1. Now, calculate Q = AB. Calculate Qr and verify (b) Find w3, where w1 = Ar and w2 = Cw1 and w3 = bw2. Calculate Q = (BC)A and verify that W3 = Qr
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