Recent questions in Discrete Mathematics

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104
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105
Suppose A is a 12 by 9 incidence matrix from a connected (but unknown) graph with 12 edges and 9 nodes. Then how many columns of A are independent?what this question want...
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106
Is the simplification that I have encircled, done right? because according to negation law (r ∨ ¬ r) ≡ T.
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107
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108
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110
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111
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112
Prove that :In triangular series1 = 11+2 = 31+2+3 = 61+2+3+4 = 10…………..Triangular number in 8n+1 always form perfect square .
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115
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117