Use the algorithm for finding A¹ to find the inverses of the matrices shown to the right. Let A be the corresponding nxn matrix, and let B be its inverse. Guess the form of B, and then show that AB = I. ON 0 0 1 12 12 12 0 = 12 12 12 (Type an integer or simplified fraction for each matrix element.) 12 0 0 12 12 0 12 12 12 and 12 0 12 12 0 12 12 12 0 12 12 12 12 00 NO 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Use the algorithm for finding A¹ to find the inverses of the matrices shown to the right. Let A
be the corresponding nxn matrix, and let B be its inverse. Guess the form of B, and then show
that AB = I.
ON
0 0
1
12
12 12 0 =
12 12 12
(Type an integer or simplified fraction for each matrix element.)
12 0 0
12 12 0
12 12 12
and
00
12
0
12 12
0
12 12 12
0
12 12 12 12
NO
0
Transcribed Image Text:Use the algorithm for finding A¹ to find the inverses of the matrices shown to the right. Let A be the corresponding nxn matrix, and let B be its inverse. Guess the form of B, and then show that AB = I. ON 0 0 1 12 12 12 0 = 12 12 12 (Type an integer or simplified fraction for each matrix element.) 12 0 0 12 12 0 12 12 12 and 00 12 0 12 12 0 12 12 12 0 12 12 12 12 NO 0
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