(2) [10] Let a;; be the number in the ith row and jth column of the arra -1 ... 1 -1 ... 1 - ... -1 ... -1 2 ... 8 ... ... so that if i < j if i = j if i > j aij -1 2i-i

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 16E
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(2) [10] Let aij be the number in the ith row and jth column of the array
-1
...
1
1
...
-
...
-1
...
1.
-1
...
|
16
...
...
so that
if i < j
if i = j
if i > j
aij
-1
2i-i
Prove that
00 00
ΣΣα
ΣΣ
dij
= -2
and
dij
= 0.
i=1 j=1
j=1 i=1
Transcribed Image Text:(2) [10] Let aij be the number in the ith row and jth column of the array -1 ... 1 1 ... - ... -1 ... 1. -1 ... | 16 ... ... so that if i < j if i = j if i > j aij -1 2i-i Prove that 00 00 ΣΣα ΣΣ dij = -2 and dij = 0. i=1 j=1 j=1 i=1
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Swokowski
Publisher:
Cengage