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Math 235

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Math 235
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Storyboard Text

  • Q sends the basis for the 2x2 Matrix vector space to Pond’s phone.
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  • 1 0 , 0 2 , 0 00 0 2 0 0 1
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  • 4 22 6
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  • Agent Q:Glad you asked Pond.Well we’re going to use the matrix on the screen and the master key to find the code.Let’s call the digits we need a b c d.We first form an equation by equaling the linear combination of the master key (using a b c d) to the given Matrix.We form 1 2x2 matrix on the left side and now solve for the unknowns.A (1 0) + … + D(0 0) (0 0). (0 1)(A B) = (4 2)(C D) (3 6)Clearly a is 4 , b is 2 , c is 3 and d is 6
  • Agent Q: These matrices make up a basis that can be used to make any 2x2 Matrix that are part of a specific vector space.
  • At the side of the door there is a keypad that accepts 3 digit codes and a random 2x2 matrix on screen.
  • Hey Agent Q, I need a 3 digit password for this door! It has a 2x2 matrix, but I don’t know what it means.
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  • 4 22 6
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