(2) Find a smooth curve a in GL(2, R) passing through the identity such that a'(0) 1 0 Justify your answer.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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(2) Find a smooth curve a in GL(2,R) passing through the identity such that
a'(0) = | -
Justify your answer.
(3) Find a smooth curve y in O(3, R) passing through the identity such that
0 0
Y(0) =
0 0 -1
0 1
Justify your answer.
Transcribed Image Text:(2) Find a smooth curve a in GL(2,R) passing through the identity such that a'(0) = | - Justify your answer. (3) Find a smooth curve y in O(3, R) passing through the identity such that 0 0 Y(0) = 0 0 -1 0 1 Justify your answer.
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