23. Let A 3 2 1 ^= [(} }], B = [2 }] 2 a b ], с and 1 = [ ' i ] . 0 1 Find B so that AB = I = BA as follows: First equate en- tries on the two sides of the equation AB = I. Then solve the resulting four equations for a, b, c, and d. Finally verify that BA = I as well.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.9: Dividing Real Numbers
Problem 10MRE
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Question
23. Let
A 3
2
1
^= [(} }], B = [2 }]
2
a b ],
с
and
1 = [ '
i
] .
0 1
Find B so that AB = I = BA as follows: First equate en-
tries on the two sides of the equation AB = I. Then solve
the resulting four equations for a, b, c, and d. Finally
verify that BA = I as well.
Transcribed Image Text:23. Let A 3 2 1 ^= [(} }], B = [2 }] 2 a b ], с and 1 = [ ' i ] . 0 1 Find B so that AB = I = BA as follows: First equate en- tries on the two sides of the equation AB = I. Then solve the resulting four equations for a, b, c, and d. Finally verify that BA = I as well.
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