Referring to A and B in Problem 8 , show that the mapping 〈 A , B 〉 = a 11 b 11 + a 12 b 12 + a 21 b 21 + a 22 b 22 (5.1.13) defines a valid inner product on M 2 ( R ) . A = [ a 11 a 12 a 21 a 22 ] and B = [ b 11 b 12 b 21 b 22 ]
Referring to A and B in Problem 8 , show that the mapping 〈 A , B 〉 = a 11 b 11 + a 12 b 12 + a 21 b 21 + a 22 b 22 (5.1.13) defines a valid inner product on M 2 ( R ) . A = [ a 11 a 12 a 21 a 22 ] and B = [ b 11 b 12 b 21 b 22 ]
Solution Summary: The author explains that the property langle A,Brangle is a valid inner product on M_2(R).
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