Intermediate Algebra (12th Edition)
12th Edition
ISBN: 9780321924711
Author: Marvin L. Bittinger
Publisher: PEARSON
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Chapter A, Problem 37ES
c Compute and simplify.
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1) Calculate 49(B-1)2+7B−1AT+7ATB−1+(AT)2
2)Find a matrix C such that (B − 2C)-1=A
3) Find a non-diagonal matrix E ̸= B such that det(AB) = det(AE)
1.2.4. (-) Let G be a graph. For v € V(G) and e = E(G), describe the adjacency and
incidence matrices of G-v and G-e in terms of the corresponding matrices for G.
1.2.6. (-) In the graph below (the paw), find all the maximal paths, maximal cliques,
and maximal independent sets. Also find all the maximum paths, maximum cliques,
and maximum independent sets.
Chapter A Solutions
Intermediate Algebra (12th Edition)
Ch. A - 1. Write a fraction expression equivalent to with...Ch. A - Write a fraction expression equivalent to 34 with...Ch. A - Multiply by 1 to find three different fraction...Ch. A - Simplify. 1845Ch. A - Simplify.
5.
Ch. A - Simplify. 7227Ch. A - Simplify. 3256Ch. A - Simplify. 2754Ch. A - Simplify. 4812Ch. A - Multiply and simplify. 652512
Ch. A - Multiply and simplify. 385372Ch. A - Add and simplify. 45+35Ch. A - Add and simplify.
13.
Ch. A - Add and simplify.
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Ch. A - Add and simplify.
15.
Ch. A - Subtract and simplify.
16.
Ch. A - Subtract and simplify. 51229Ch. A - Find each reciprocal. 411Ch. A - Find each reciprocal. 157Ch. A - Find each reciprocal. 5Ch. A - Find each reciprocal. 13Ch. A - 22. Divide by multiplying by 1:
Ch. A - Divide by multiplying by the reciprocal of the...Ch. A - Divide by multiplying by the reciprocal of the...Ch. A - Divide by multiplying by the reciprocal of the...Ch. A - Divide by multiplying by the reciprocal of the...Ch. A - Divide and simplify.
27.
Ch. A - Divide and simplify.
28.
Ch. A - a Write an equivalent expression for each of the...Ch. A - a Write an equivalent expression for each of the...Ch. A - a Write an equivalent expression for each of the...Ch. A - a Write an equivalent expression for each of the...Ch. A - Write an equivalent expression with the given...Ch. A - Write an equivalent expression with the given...Ch. A - b Simplify. 1827Ch. A - b Simplify.
8.
Ch. A - b Simplify. 5614Ch. A - b Simplify. 4827Ch. A - b Simplify. 642Ch. A - b Simplify. 13104Ch. A - b Simplify. 567Ch. A - b Simplify. 13211Ch. A - b Simplify. 1976Ch. A - b Simplify. 1751Ch. A - b Simplify. 10020Ch. A - b Simplify. 15025Ch. A - b Simplify.
19.
Ch. A - b Simplify. 625325Ch. A - b Simplify.
21.
Ch. A - b Simplify. 48001600Ch. A - b Simplify.
23.
Ch. A - b Simplify.
24.
Ch. A - c Compute and simplify.
25.
Ch. A - c Compute and simplify. 151685Ch. A - c Compute and simplify.
27.
Ch. A - c Compute and simplify. 10111110Ch. A - c Compute and simplify.
29.
Ch. A - c Compute and simplify. 45+815Ch. A - c Compute and simplify. 310+815Ch. A - c Compute and simplify. 98+712Ch. A - c Compute and simplify. 5434Ch. A - c Compute and simplify.
34.
Ch. A - c Compute and simplify.
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Ch. A - c Compute and simplify.
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Ch. A - c Compute and simplify.
37.
Ch. A - c Compute and simplify.
38.
Ch. A - c Compute and simplify. 89415Ch. A - c Compute and simplify.
40.
Ch. A - c Compute and simplify. 1312395Ch. A - c Compute and simplify.
42.
Ch. A - c Compute and simplify. 10015Ch. A - c Compute and simplify. 7816Ch. A - c Compute and simplify. 3410Ch. A - c Compute and simplify.
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Ch. A - c Compute and simplify.
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Ch. A - c Compute and simplify. 147502
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- Q1lal Let X be an arbitrary infinite set and let r the family of all subsets F of X which do not contain a particular point x, EX and the complements F of all finite subsets F of X show that (X.r) is a topology. bl The nbhd system N(x) at x in a topological space X has the following properties NO- N(x) for any xX N1- If N EN(x) then x€N N2- If NEN(x), NCM then MeN(x) N3- If NEN(x), MEN(x) then NOMEN(x) N4- If N = N(x) then 3M = N(x) such that MCN then MeN(y) for any уем Show that there exist a unique topology τ on X. Q2\a\let (X,r) be the topology space and BST show that ẞ is base for a topology on X iff for any G open set xEG then there exist A Eẞ such that x E ACG. b\Let ẞ is a collection of open sets in X show that is base for a topology on X iff for each xex the collection B, (BEB\xEB) is is a nbhd base at x. - Q31 Choose only two: al Let A be a subspace of a space X show that FCA is closed iff F KOA, K is closed set in X. الرياضيات b\ Let X and Y be two topological space and f:X -…arrow_forwardQ1\ Let X be a topological space and let Int be the interior operation defined on P(X) such that 1₁.Int(X) = X 12. Int (A) CA for each A = P(X) 13. Int (int (A) = Int (A) for each A = P(X) 14. Int (An B) = Int(A) n Int (B) for each A, B = P(X) 15. A is open iff Int (A) = A Show that there exist a unique topology T on X. Q2\ Let X be a topological space and suppose that a nbhd base has been fixed at each x E X and A SCX show that A open iff A contains a basic nbdh of each its point Q3\ Let X be a topological space and and A CX show that A closed set iff every limit point of A is in A. A'S A ACA Q4\ If ẞ is a collection of open sets in X show that ẞ is a base for a topology on X iff for each x E X then ẞx = {BE B|x E B} is a nbhd base at x. Q5\ If A subspace of a topological space X, if x Є A show that V is nbhd of x in A iff V = Un A where U is nbdh of x in X.arrow_forward+ Theorem: Let be a function from a topological space (X,T) on to a non-empty set y then is a quotient map iff vesy if f(B) is closed in X then & is >Y. ie Bclosed in bp closed in the quotient topology induced by f iff (B) is closed in x- التاريخ Acy الموضوع : Theorem:- IP & and I are topological space and fix sy is continuous او function and either open or closed then the topology Cony is the quatient topology p proof: Theorem: Lety have the quotient topology induced by map f of X onto y. The-x: then an arbirary map g:y 7 is continuous 7. iff gof: x > z is "g of continuous Continuous function farrow_forward
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