M | A | T | H |

2 | 1 | B |

Mathematics Math21b Spring 2017

Linear Algebra and Differential Equations

Exhibit: Pascal Matrices

Course Head: Oliver Knill

Office: SciCtr 432

Email: knill@math.harvard.edu

M=9; A=Table[ Binomial[n,k],{n,0,M-1},{k,0,M-1}]; Mod[A,2]

1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 1 3 3 1 0 0 0 0 0 1 4 6 4 1 0 0 0 0 1 5 10 10 5 1 0 0 0 1 6 15 20 15 6 1 0 0 1 7 21 35 35 21 7 1 0 1 8 28 56 70 56 28 8 1 |
1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 1 0 0 1 1 0 0 0 1 0 1 0 1 0 1 0 0 1 1 1 1 1 1 1 1 0 1 0 0 0 0 0 0 0 1 |

Please send questions and comments to knill@math.harvard.edu

Math21b Harvard College Course ID:110989| Oliver Knill | Spring 2017 |
Department of Mathematics |
Faculty of Art and Sciences |
Harvard University,
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