amjadsuhail Posted September 25, 2007 Share Posted September 25, 2007 Verify that H: R^3--->R^3 is a bilinear form ........................................... H[(a1,a2,a3), (b1,b2,b3)] = a1b1 - 2a1b2+a2b1- a3b3 in my book (a1,a2,a3) and other vector written in column form. Link to comment Share on other sites More sharing options...
timo Posted September 26, 2007 Share Posted September 26, 2007 What's the definition of a bilinear form? Why don't you just check the conditions by hand? Link to comment Share on other sites More sharing options...
fattyjwoods Posted October 4, 2007 Share Posted October 4, 2007 I like your poll! Link to comment Share on other sites More sharing options...
Country Boy Posted October 12, 2007 Share Posted October 12, 2007 I'm a bit confused by the question. You say "H: R^3--->R^3" but the H given, H[(a1,a2,a3), (b1,b2,b3)] = a1b1 - 2a1b2+a2b1- a3b3 is clearly from R^3 X R^3 to R. Link to comment Share on other sites More sharing options...
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