Introduction to Algorithms
3rd Edition
ISBN: 9780262033848
Author: Thomas H. Cormen, Ronald L. Rivest, Charles E. Leiserson, Clifford Stein
Publisher: MIT Press
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Chapter 3, Problem 3P
(a)
Program Plan Intro
Partition list into equivalence classes such that functions are in same class if
(b)
Program Plan Intro
Give an example of a single nonnegative function such that
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For the function f: Z Z prove or
disprove whether f is injective and/or surjective
f(x) = 4x –6
%3D
4. Determine which of the following are onto functions.
(a) f:Z→Z; f(n)=n³ +1
(b) g:Q → Q; g(x)= n²
(c) h:R → R; h(x)= x³ – x
(d) k:R → R; k(x)= 5²
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(a) Suppose the matrix A is m × n and suppose that b is in the range of A. Give a formula
for all solutions to the equation Ax = b in terms of the SVD of A, when m≥n and A has
rank p
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Introduction to Algorithms
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