(c) (R x A)T-AX RT. (e) (R.S)-¹ S-¹.R-¹. - (d) (R.S)T=ST.RT. (f) (R.S)-T=R-T.S-T.
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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Transcribed Image Text:2.47 If A is an arbitrary vector and R and S are arbitrary dyads, verify that:
(a) (I x A) R = AX R.
(c) (R x A)¹ = -AX RT.
(e) (R.S)-¹S-¹.R-¹.
(b) (A x I) R = A x R.
(d) (R.S)¹ = ST.RT.
(f) (RS)-T=R-T.S-T.
=
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