KRAWTCHOUK ENCYCLOPEDIA: home > intro:matrices updated: 31 july 01

Krawtchouk matrices

Here are the main characters of the story for a quick reference. You may want a
print-ready (N/A/Y) version.
You can see also: SYMMETRIC version of theses; IDENTITIES satisfied within and between them; and their DEFINITION (N/A/Y), if you have forgotten it.
K1
1
K2
1 1
1 -1
K3
1 1 1
2 0 -2
1 -1 1
K4
1 1 1 1
3 1 -1 -3
3 -1 -1 3
1 -1 1 -1
K5
1 1 1 1 1
4 2 0 -2 -4
6 0 -2 0 6
4 -2 0 2 -4
1 -1 1 -1 1
K6
1 1 1 1 1 1
5 3 1 -1 -3 -5
10 2 -2 -2 2 10
10 -2 -2 2 2 -10
5 -3 1 1 -3 5
1 -1 1 -1 1 -1
K7
1 1 1 1 1 1 1
6 4 2 0 -2 -4 -6
15 5 -1 -3 -1 5 15
20 0 -4 0 4 0 -20
15 -5-1 3 -1 -5 15
6 -4 2 0 -2 4 -6
1 -1 1 -1 1 -1 1
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