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Sunday, September 30, 2007

Matrices and the Pacal Triangle

Create a matrix from the first n rows of the Pascal Triangle like

1 0 0 0
1 1 0 0
1 2 1 0
1 3 3 1

Then the inverse of this matrix is...

1 0 0 0
-1 1 0 0
1 -2 1 0
-1 3 -3 1

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(Raumpatrouille – Die phantastischen Abenteuer des Raumschiffes Orion, colloquially aka Raumpatrouille Orion was the first German science fiction television series. Its seven episodes were broadcast by ARD beginning September 17, 1966. The series has since acquired cult status in Germany. Broadcast six years before Star Trek first aired in West Germany (in 1972), it became a huge success.)