Find  A, B  ,   A  ,   B  , and d(A, B) for the matrices in M2,2 using the inner product  A, B   = 2a11b11 + a21b21 + a12b12 + 2a22b22

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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Find

 
A, B
 
 
A
 
 
B
 
, and d(A, B)

for the matrices in

M2,2

using the inner product

 
A, B
 
 = 2a11b11 + a21b21 + a12b12 + 2a22b22
A = 
 
2 −3
 
−1 5
,    B = 
 
−3 1
 
1 0
(a)    
 
A, B
 

 
 


(b)    
 
A
 

 
 


(c)    
 
B
 

 
 


(d)    
d(A, B)

 
 
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