Let be the skew operator that transforms a 3x1 column matrix into the 3x3 skew- symmetric matrix whose operation is equivalent to a vector cross product. Show that (i) [n] [n]° = nn' -n1. (ii) [n] [n] [n]° =-n° [n] .

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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ro U ocuom are contained inC?
Let be the skew operator that transforms a 3x1 column matrix into the 3x3 skew-
symmetric matrix whose operation is equivalent to a vector cross product. Show that
(1) [n] [n] = nn' -n 1.
(ii) [n] [n] [n]° = -n² [n] .
Transcribed Image Text:ro U ocuom are contained inC? Let be the skew operator that transforms a 3x1 column matrix into the 3x3 skew- symmetric matrix whose operation is equivalent to a vector cross product. Show that (1) [n] [n] = nn' -n 1. (ii) [n] [n] [n]° = -n² [n] .
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