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annas

let L: R^2 -> R^2 be defined by L(x,y)= (x-2y,x+2y) let s= {(1,-1),(0,1)} be a basis for R^2 and let T be the natural basis for R^2. find the matrix representing L with respect to a) S b) S and T c) T and S d) T

  • one year ago
  • one year ago

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  1. annas
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    @myininaya need help just tell me the procedure how to solve

    • one year ago
  2. annas
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    @ash2326 help

    • one year ago
  3. eliassaab
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    I will tell you how to do a). The rest is similar \[ L(1,-1)=\{3,-1\}=3 \{1,-1\}+2 \{0,1\}\\ L(0,1)=\{-2,2\}=-2 \{1,-1\}+0\{0,1\}\\ M=\left( \begin{array}{cc} 3 & -2 \\ 2 & 0 \\ \end{array} \right) \]

    • one year ago
  4. annas
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    @eliassaab

    • one year ago
  5. annas
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    sir where this 3 came from ???

    • one year ago
  6. eliassaab
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    Look at the first line.

    • one year ago
  7. annas
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    sorry sire but still not getting the point ... please a bit more explanation

    • one year ago
  8. annas
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    ok no i get it. its by simply putting values

    • one year ago
  9. annas
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    thanks sire really appreciate your help :)

    • one year ago
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