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Bilinear form in R^3

amjadsuhail
in Linear Algebra and Group Theory

bilinear form in R^3 1 member has voted

  1. 1. bilinear form in R^3

    • no
      2
    • no
      0
    • no
      0
    • no
      0
    • no
      0

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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.

What's the definition of a bilinear form? Why don't you just check the conditions by hand?

  • 2 weeks later...
  • 2 weeks later...

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.

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