Questions without answers in Engineering Mathematics

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Suppose that the roots of the characteristic equation of a linear homogeneous recurrence relation are -2, -2, -2, 7, 7, and 8 (that is, there are three ... and the root 8 with multiplicity one). What is the form of the general solution?
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Let G be a complete undirected graph on 6 vertices. If vertices of G are labeled, then the number of distinct cycles of length 4 in G is equal tothe answer is 45 ... be the answer?1- if the graph is directed 2- if vertices are not labeled.
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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 to ask can someone help me {hint}
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Pyq
If a square matrix of order 100 has exactly 15 distinct eigen values, the degree of the minimal polynomial is (a) At least 15 (c) Always 15 (b) At most 15 (d) Exactly 100
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Determine the geometric distribution for which the mean is 3 and variance is 4.
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