1 -2 3 1 2 -1 0 aLet 4 and B = 2 -2 .Compute 4. B. %3D 4 -3 -1 -3 3 0 5

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Assistance with part a.

1 -2 3
1
2 -1 0
5. @Let A =
and B =
2 -2
Compute A. B.
4 -3 -1
-3 3
0 5
a11 d12 d13
a1 a22 023
b. Let 4 =
and B =
b1 bn
%3D
a31 32 33
bal
a41 042 043
The entry in the 3rd row and 1st columnof A• Bis
The entry in the 4th rowand 2nd columnof.4 . B is
C. Provide the definition for matrix multiplication Thatis let Let.4 = [a and
B = [by]- Then.AB =
(dLetIn = [5lmur
%3D
From the definition of matrix multiplication and ó provethat
%3D
(A+ In)B = AB+B
Transcribed Image Text:1 -2 3 1 2 -1 0 5. @Let A = and B = 2 -2 Compute A. B. 4 -3 -1 -3 3 0 5 a11 d12 d13 a1 a22 023 b. Let 4 = and B = b1 bn %3D a31 32 33 bal a41 042 043 The entry in the 3rd row and 1st columnof A• Bis The entry in the 4th rowand 2nd columnof.4 . B is C. Provide the definition for matrix multiplication Thatis let Let.4 = [a and B = [by]- Then.AB = (dLetIn = [5lmur %3D From the definition of matrix multiplication and ó provethat %3D (A+ In)B = AB+B
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