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  1. Repository of CoderByte solutions for their free challenges (hard and easy), in different programming languages.

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      Add a description, image, and links to the...

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      This Repo consists of my Python solutions to various...

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      string matrix array numeric fibonacci coderbyte-solutions...

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      This repository contains solutions to coding challenges from...

  2. A distance matrix is a table that shows the distance between pairs of objects. For example, in the table below we can see a distance of 16 between A and B, of 47 between A and C, and so on. By definition, an object’s distance from itself, which is shown in the main diagonal of the table, is 0.

  3. Solution: Yes, this problem makes sense: Given a starting vertex v nd the lowest-cost path from v to every other vertex. The cost of a path is the sum of the weights of the vertices on the path.

  4. Questions: 1.Consider the sets Aand Bwhere: A= fa2Zja= 2k, for some integer kg, B= fb2Zjb= 2j 2, for some integer jg. Does A= B? If yes, prove it. If no, explain why not. 2.Consider the sets A= f1;2;3g, B= fx;yg, and C= fu;vg. Let P(A) denote the powerset of A. Find each of the following: (a) P(A[B) (b) P(B C) (c) P(P(C)) (d) A (B\C) (e)(A B) C

  5. Problem 5.5. Recall the notion of a linear map between vector spaces (dis-cussed above) and show that between two nite dimensional vector spaces V and Wover the same eld (1) If dimV dimWthen there is an injective linear map L: V ! W: (2) If dimV Wthen there is a surjective linear map L: V ! W:

  6. As discussed in Chapter 1, the machinery of Linear Algebra can be used to solve systems of linear equations involving a finite number of unknowns. This section is devoted to illustrating how linear maps are one of the most fundamental tools for gaining insight into the solutions to such systems.

  7. a) Prove that a linear map T is 1-1 if and only if T sends linearly independent sets to linearly independent sets. b) Prove that T is onto if and only if T sends spanning sets to spanning sets.