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anonymous

  • 5 years ago

For these matrices: S=[u,v,-v,u] T=[x,y,-y,x] NOTE: these matrices are 2x2 matrices, the first two on the top row and the last two on the bottom row. (sorry I can't express them properly here). a) Find the determinants of S, T and ST b) Use ordinary algebra to verify that det(S)det(T)=det(ST) c) Express (7^2 + 2^2)(4^2 + 1^2) as a sum of squares of two integers.

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  1. dumbcow
    • 5 years ago
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    for any 2X2 matrix a b c d det = ad - bc

  2. myininaya
    • 5 years ago
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    give me just a sec k?

  3. myininaya
    • 5 years ago
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    i will scan what i have so far... it isn't complete

  4. myininaya
    • 5 years ago
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  5. anonymous
    • 5 years ago
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    thanks everyone - especially myininaya :)

  6. myininaya
    • 5 years ago
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    i was fixing to type this i think i will just scan it lol

  7. anonymous
    • 5 years ago
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    good idea, much easier :)

  8. myininaya
    • 5 years ago
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  9. myininaya
    • 5 years ago
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    you know a^2+2ab+b^2=(a+b)^2 and a^2-2ab+b^2=(a-b)^2 right?

  10. anonymous
    • 5 years ago
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    yes

  11. myininaya
    • 5 years ago
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  12. myininaya
    • 5 years ago
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    do you see i add in a zero so I could write (ux-vy)^2+(vx+yu)^2

  13. anonymous
    • 5 years ago
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    yes indeed :) thank you so much!!!

  14. myininaya
    • 5 years ago
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    k cool are there any questions? please let me know if you don't understand something

  15. anonymous
    • 5 years ago
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    i think i understand it all :) thanks :)

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