INTRO.+INTERMED.ALG.F/COLL....-ACCESS
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Asked this question and got a wrong answer previously: Third, show that v3 = (−√3, −3, 3)⊤ is an eigenvector of M3 . Also here find the correspondingeigenvalue λ3 . Just from looking at M3 and its components, can you say something about the remaining twoeigenvalues? If so, what would you say?
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Introduction - Surface Area of Composite Figures
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Chapter 13 Solutions
INTRO.+INTERMED.ALG.F/COLL....-ACCESS
Ch. 13.1 - Prob. 1CAVCCh. 13.1 - Prob. 2CAVCCh. 13.1 - Prob. 3CAVCCh. 13.1 - Prob. 4CAVCCh. 13.1 - Prob. 1ESCh. 13.1 - Prob. 2ESCh. 13.1 - Prob. 3ESCh. 13.1 - Prob. 4ESCh. 13.1 - Prob. 5ESCh. 13.1 - Prob. 6ES
Ch. 13.1 - Prob. 7ESCh. 13.1 - Prob. 8ESCh. 13.1 - Prob. 9ESCh. 13.1 - Prob. 10ESCh. 13.1 - Prob. 11ESCh. 13.1 - Prob. 12ESCh. 13.1 - Prob. 13ESCh. 13.1 - Prob. 14ESCh. 13.1 - Prob. 15ESCh. 13.1 - Prob. 16ESCh. 13.1 - Prob. 17ESCh. 13.1 - Prob. 18ESCh. 13.1 - Prob. 19ESCh. 13.1 - Prob. 20ESCh. 13.1 - Prob. 21ESCh. 13.1 - Prob. 22ESCh. 13.1 - Prob. 23ESCh. 13.1 - Prob. 24ESCh. 13.1 - Prob. 25ESCh. 13.1 - Prob. 26ESCh. 13.1 - Prob. 27ESCh. 13.1 - Prob. 28ESCh. 13.1 - Prob. 29ESCh. 13.1 - Prob. 30ESCh. 13.1 - Prob. 31ESCh. 13.1 - Prob. 32ESCh. 13.1 - Prob. 33ESCh. 13.1 - Prob. 34ESCh. 13.1 - Prob. 35ESCh. 13.1 - Prob. 36ESCh. 13.1 - Prob. 37ESCh. 13.1 - Prob. 38ESCh. 13.1 - Prob. 39ESCh. 13.1 - Prob. 40ESCh. 13.1 - Prob. 41ESCh. 13.1 - Prob. 42ESCh. 13.1 - Prob. 43ESCh. 13.1 - Prob. 44ESCh. 13.1 - Prob. 45ESCh. 13.1 - Prob. 46ESCh. 13.1 - Prob. 47ESCh. 13.1 - Prob. 48ESCh. 13.1 - Prob. 49ESCh. 13.1 - Prob. 50ESCh. 13.1 - Prob. 51ESCh. 13.1 - Prob. 52ESCh. 13.1 - Prob. 53ESCh. 13.1 - Prob. 54ESCh. 13.1 - Prob. 55ESCh. 13.1 - Prob. 56ESCh. 13.1 - Prob. 57ESCh. 13.1 - Prob. 58ESCh. 13.1 - Prob. 59ESCh. 13.1 - Prob. 60ESCh. 13.1 - Prob. 61ESCh. 13.1 - Prob. 62ESCh. 13.2 - Prob. 1CAVCCh. 13.2 - Prob. 2CAVCCh. 13.2 - Prob. 3CAVCCh. 13.2 - Prob. 4CAVCCh. 13.2 - Prob. 5CAVCCh. 13.2 - Prob. 1ESCh. 13.2 - Prob. 2ESCh. 13.2 - Prob. 3ESCh. 13.2 - Prob. 4ESCh. 13.2 - Prob. 5ESCh. 13.2 - Prob. 6ESCh. 13.2 - Prob. 7ESCh. 13.2 - Prob. 8ESCh. 13.2 - Prob. 9ESCh. 13.2 - Prob. 10ESCh. 13.2 - Prob. 11ESCh. 13.2 - Prob. 12ESCh. 13.2 - Prob. 13ESCh. 13.2 - Prob. 14ESCh. 13.2 - Prob. 15ESCh. 13.2 - Prob. 16ESCh. 13.2 - Prob. 17ESCh. 13.2 - Prob. 18ESCh. 13.2 - Prob. 19ESCh. 13.2 - Prob. 20ESCh. 13.2 - Prob. 21ESCh. 13.2 - Prob. 22ESCh. 13.2 - Prob. 23ESCh. 13.2 - Prob. 24ESCh. 13.2 - Prob. 25ESCh. 13.2 - Prob. 26ESCh. 13.2 - Prob. 27ESCh. 13.2 - Prob. 28ESCh. 13.2 - Prob. 29ESCh. 13.2 - Prob. 30ESCh. 13.2 - Prob. 31ESCh. 13.2 - Prob. 32ESCh. 13.2 - Prob. 33ESCh. 13.2 - Prob. 34ESCh. 13.2 - Prob. 35ESCh. 13.2 - Prob. 36ESCh. 13.2 - Prob. 37ESCh. 13.2 - Prob. 38ESCh. 13.2 - Prob. 39ESCh. 13.2 - Prob. 40ESCh. 13.2 - Prob. 41ESCh. 13.2 - Prob. 42ESCh. 13.2 - 43. Will a truck that is 8 feet wide carrying a...Ch. 13.2 - Prob. 44ESCh. 13.2 - Prob. 45ESCh. 13.2 - Prob. 46ESCh. 13.2 - What is an ellipse?Ch. 13.2 - Prob. 48ESCh. 13.2 - Prob. 49ESCh. 13.2 - Prob. 50ESCh. 13.2 - Prob. 51ESCh. 13.2 - Prob. 52ESCh. 13.2 - Prob. 53ESCh. 13.2 - Prob. 54ESCh. 13.2 - Prob. 55ESCh. 13.2 - Prob. 56ESCh. 13.2 - Prob. 57ESCh. 13.2 - Prob. 58ESCh. 13.2 - Prob. 59ESCh. 13.2 - Prob. 60ESCh. 13.2 - Prob. 61ESCh. 13.2 - Prob. 62ESCh. 13.2 - Prob. 63ESCh. 13.2 - Prob. 64ESCh. 13.2 - Prob. 65ESCh. 13.2 - Prob. 66ESCh. 13.2 - Prob. 67ESCh. 13.2 - Prob. 68ESCh. 13.2 - Prob. 69ESCh. 13.2 - Prob. 70ESCh. 13.2 - Prob. 71ESCh. 13.2 - Prob. 72ESCh. 13.3 - Prob. 1CAVCCh. 13.3 - Prob. 2CAVCCh. 13.3 - Prob. 3CAVCCh. 13.3 - Fill in each blank so that the resulting statement...Ch. 13.3 - Prob. 5CAVCCh. 13.3 - Prob. 6CAVCCh. 13.3 - Prob. 7CAVCCh. 13.3 - Prob. 8CAVCCh. 13.3 - Prob. 9CAVCCh. 13.3 - Prob. 10CAVCCh. 13.3 - Prob. 1ESCh. 13.3 - Prob. 2ESCh. 13.3 - Prob. 3ESCh. 13.3 - Prob. 4ESCh. 13.3 - Prob. 5ESCh. 13.3 - Prob. 6ESCh. 13.3 - Prob. 7ESCh. 13.3 - Prob. 8ESCh. 13.3 - Prob. 9ESCh. 13.3 - Prob. 10ESCh. 13.3 - Prob. 11ESCh. 13.3 - Prob. 12ESCh. 13.3 - Prob. 13ESCh. 13.3 - Prob. 14ESCh. 13.3 - Prob. 15ESCh. 13.3 - Prob. 16ESCh. 13.3 - Prob. 17ESCh. 13.3 - Prob. 18ESCh. 13.3 - Prob. 19ESCh. 13.3 - Prob. 20ESCh. 13.3 - Prob. 21ESCh. 13.3 - Prob. 22ESCh. 13.3 - Prob. 23ESCh. 13.3 - Prob. 24ESCh. 13.3 - Prob. 25ESCh. 13.3 - Prob. 26ESCh. 13.3 - Prob. 27ESCh. 13.3 - Prob. 28ESCh. 13.3 - Prob. 29ESCh. 13.3 - Prob. 30ESCh. 13.3 - Prob. 31ESCh. 13.3 - Prob. 32ESCh. 13.3 - Prob. 33ESCh. 13.3 - 34. Scattering experiments, in which moving...Ch. 13.3 - Prob. 35ESCh. 13.3 - Prob. 36ESCh. 13.3 - Prob. 37ESCh. 13.3 - Prob. 38ESCh. 13.3 - Prob. 39ESCh. 13.3 - Prob. 40ESCh. 13.3 - Prob. 41ESCh. 13.3 - Prob. 42ESCh. 13.3 - Prob. 43ESCh. 13.3 - Prob. 44ESCh. 13.3 - Prob. 45ESCh. 13.3 - Prob. 46ESCh. 13.3 - Prob. 47ESCh. 13.3 - Prob. 48ESCh. 13.3 - In Exercises 47-50, determine whether each...Ch. 13.3 - Prob. 50ESCh. 13.3 - Prob. 51ESCh. 13.3 - Prob. 52ESCh. 13.3 - Prob. 53ESCh. 13.3 - Prob. 54ESCh. 13.3 - Prob. 55ESCh. 13.3 - Prob. 56ESCh. 13.3 - Prob. 57ESCh. 13.3 - Prob. 58ESCh. 13.3 - Prob. 59ESCh. 13.3 - Prob. 60ESCh. 13.3 - Prob. 61ESCh. 13.3 - Prob. 62ESCh. 13.4 - Prob. 1CAVCCh. 13.4 - Prob. 2CAVCCh. 13.4 - Prob. 3CAVCCh. 13.4 - Prob. 4CAVCCh. 13.4 - Prob. 5CAVCCh. 13.4 - Prob. 6CAVCCh. 13.4 - Prob. 7CAVCCh. 13.4 - Prob. 8CAVCCh. 13.4 - Prob. 9CAVCCh. 13.4 - Prob. 10CAVCCh. 13.4 - Prob. 11CAVCCh. 13.4 - Prob. 12CAVCCh. 13.4 - Prob. 13CAVCCh. 13.4 - Prob. 14CAVCCh. 13.4 - Prob. 1ESCh. 13.4 - Prob. 2ESCh. 13.4 - Prob. 3ESCh. 13.4 - Prob. 4ESCh. 13.4 - Prob. 5ESCh. 13.4 - Prob. 6ESCh. 13.4 - Prob. 7ESCh. 13.4 - Prob. 8ESCh. 13.4 - Prob. 9ESCh. 13.4 - Prob. 10ESCh. 13.4 - Prob. 11ESCh. 13.4 - Prob. 12ESCh. 13.4 - Prob. 13ESCh. 13.4 - Prob. 14ESCh. 13.4 - Prob. 15ESCh. 13.4 - Prob. 16ESCh. 13.4 - Prob. 17ESCh. 13.4 - Prob. 18ESCh. 13.4 - Prob. 19ESCh. 13.4 - Prob. 20ESCh. 13.4 - Prob. 21ESCh. 13.4 - Prob. 22ESCh. 13.4 - Prob. 23ESCh. 13.4 - Prob. 24ESCh. 13.4 - Prob. 25ESCh. 13.4 - Prob. 26ESCh. 13.4 - Prob. 27ESCh. 13.4 - Prob. 28ESCh. 13.4 - Prob. 29ESCh. 13.4 - Prob. 30ESCh. 13.4 - Prob. 31ESCh. 13.4 - Prob. 32ESCh. 13.4 - Prob. 33ESCh. 13.4 - Prob. 34ESCh. 13.4 - Prob. 35ESCh. 13.4 - Prob. 36ESCh. 13.4 - Prob. 37ESCh. 13.4 - Prob. 38ESCh. 13.4 - Prob. 39ESCh. 13.4 - Prob. 40ESCh. 13.4 - Prob. 41ESCh. 13.4 - Prob. 42ESCh. 13.4 - Prob. 43ESCh. 13.4 - In Exercises 43—54, the equation of a parabola is...Ch. 13.4 - Prob. 45ESCh. 13.4 - Prob. 46ESCh. 13.4 - Prob. 47ESCh. 13.4 - Prob. 48ESCh. 13.4 - Prob. 49ESCh. 13.4 - Prob. 50ESCh. 13.4 - Prob. 51ESCh. 13.4 - Prob. 52ESCh. 13.4 - Prob. 53ESCh. 13.4 - Prob. 54ESCh. 13.4 - Prob. 55ESCh. 13.4 - Prob. 56ESCh. 13.4 - Prob. 57ESCh. 13.4 - Prob. 58ESCh. 13.4 - Prob. 59ESCh. 13.4 - Prob. 60ESCh. 13.4 - Prob. 61ESCh. 13.4 - Prob. 62ESCh. 13.4 - Prob. 63ESCh. 13.4 - Prob. 64ESCh. 13.4 - Prob. 65ESCh. 13.4 - Prob. 66ESCh. 13.4 - Prob. 67ESCh. 13.4 - Prob. 68ESCh. 13.4 - Prob. 69ESCh. 13.4 - Prob. 70ESCh. 13.4 - Prob. 71ESCh. 13.4 - Prob. 72ESCh. 13.4 - Prob. 73ESCh. 13.4 - Prob. 74ESCh. 13.4 - Prob. 75ESCh. 13.4 - Prob. 76ESCh. 13.4 - Prob. 77ESCh. 13.4 - Prob. 78ESCh. 13.4 - Prob. 79ESCh. 13.4 - Prob. 80ESCh. 13.4 - Prob. 81ESCh. 13.4 - Prob. 82ESCh. 13.4 - Prob. 83ESCh. 13.4 - Prob. 84ESCh. 13.4 - Prob. 85ESCh. 13.4 - Prob. 86ESCh. 13.4 - Prob. 87ESCh. 13.4 - Prob. 88ESCh. 13.4 - Prob. 89ESCh. 13.4 - Prob. 90ESCh. 13.4 - Prob. 91ESCh. 13.4 - Prob. 92ESCh. 13.4 - Prob. 93ESCh. 13.4 - If you are given an equation of a parabola,...Ch. 13.4 - Prob. 95ESCh. 13.4 - Prob. 96ESCh. 13.4 - Prob. 97ESCh. 13.4 - Prob. 98ESCh. 13.4 - Prob. 99ESCh. 13.4 - Prob. 100ESCh. 13.4 - Prob. 101ESCh. 13.4 - Prob. 102ESCh. 13.4 - Prob. 103ESCh. 13.4 - Make Sense? In Exercises 104–107, determine...Ch. 13.4 - Prob. 105ESCh. 13.4 - Prob. 106ESCh. 13.4 - Prob. 107ESCh. 13.4 - Prob. 108ESCh. 13.4 - Prob. 109ESCh. 13.4 - Prob. 110ESCh. 13.4 - Prob. 111ESCh. 13.4 - Prob. 112ESCh. 13.4 - Prob. 113ESCh. 13.4 - Prob. 114ESCh. 13.4 - Prob. 115ESCh. 13.4 - Prob. 116ESCh. 13.4 - Prob. 117ESCh. 13.4 - Prob. 118ESCh. 13.4 - Prob. 119ESCh. 13.5 - Prob. 1CAVCCh. 13.5 - Prob. 2CAVCCh. 13.5 - Prob. 3CAVCCh. 13.5 - Prob. 4CAVCCh. 13.5 - Prob. 5CAVCCh. 13.5 - Prob. 6CAVCCh. 13.5 - Prob. 1ESCh. 13.5 - Prob. 2ESCh. 13.5 - Prob. 3ESCh. 13.5 - Prob. 4ESCh. 13.5 - Prob. 5ESCh. 13.5 - Prob. 6ESCh. 13.5 - Prob. 7ESCh. 13.5 - Prob. 8ESCh. 13.5 - Prob. 9ESCh. 13.5 - Prob. 10ESCh. 13.5 - Prob. 11ESCh. 13.5 - Prob. 12ESCh. 13.5 - Prob. 13ESCh. 13.5 - Prob. 14ESCh. 13.5 - Prob. 15ESCh. 13.5 - Prob. 16ESCh. 13.5 - Prob. 17ESCh. 13.5 - Prob. 18ESCh. 13.5 - Prob. 19ESCh. 13.5 - Prob. 20ESCh. 13.5 - Prob. 21ESCh. 13.5 - Prob. 22ESCh. 13.5 - Prob. 23ESCh. 13.5 - Prob. 24ESCh. 13.5 - Prob. 25ESCh. 13.5 - Prob. 26ESCh. 13.5 - Prob. 27ESCh. 13.5 - Prob. 28ESCh. 13.5 - Prob. 29ESCh. 13.5 - Prob. 30ESCh. 13.5 - Prob. 31ESCh. 13.5 - Prob. 32ESCh. 13.5 - Prob. 33ESCh. 13.5 - Prob. 34ESCh. 13.5 - Prob. 35ESCh. 13.5 - Prob. 36ESCh. 13.5 - Prob. 37ESCh. 13.5 - Prob. 38ESCh. 13.5 - Prob. 39ESCh. 13.5 - Prob. 40ESCh. 13.5 - Prob. 41ESCh. 13.5 - Prob. 42ESCh. 13.5 - Prob. 43ESCh. 13.5 - Prob. 44ESCh. 13.5 - Prob. 45ESCh. 13.5 - Prob. 46ESCh. 13.5 - Prob. 47ESCh. 13.5 - Prob. 48ESCh. 13.5 - Prob. 49ESCh. 13.5 - Prob. 50ESCh. 13.5 - Prob. 51ESCh. 13.5 - In Exercises 47-52, solve each system by the...Ch. 13.5 - Prob. 53ESCh. 13.5 - Prob. 54ESCh. 13.5 - Prob. 55ESCh. 13.5 - Prob. 56ESCh. 13.5 - Prob. 57ESCh. 13.5 - Prob. 58ESCh. 13.5 - Prob. 59ESCh. 13.5 - Prob. 60ESCh. 13.5 - Prob. 61ESCh. 13.5 - Prob. 62ESCh. 13.5 - Prob. 63ESCh. 13.5 - Prob. 64ESCh. 13.5 - Prob. 65ESCh. 13.5 - Prob. 66ESCh. 13.5 - Prob. 67ESCh. 13.5 - Prob. 68ESCh. 13.5 - Prob. 69ESCh. 13.5 - Prob. 70ESCh. 13.5 - Prob. 71ESCh. 13.5 - Prob. 72ESCh. 13.5 - Prob. 73ESCh. 13.5 - Prob. 74ESCh. 13.5 - Prob. 75ESCh. 13.5 - Prob. 76ESCh. 13.5 - Prob. 77ESCh. 13.5 - Prob. 78ESCh. 13.5 - Prob. 79ESCh. 13.5 - Prob. 80ESCh. 13.5 - Prob. 81ESCh. 13.5 - Prob. 82ESCh. 13.5 - Prob. 83ESCh. 13.5 - Prob. 84ESCh. 13.5 - Prob. 85ESCh. 13.5 - Prob. 86ESCh. 13 - Prob. 1MCPCh. 13 - Prob. 2MCPCh. 13 - Prob. 3MCPCh. 13 - Prob. 4MCPCh. 13 - Prob. 5MCPCh. 13 - Prob. 6MCPCh. 13 - Prob. 7MCPCh. 13 - Prob. 8MCPCh. 13 - Prob. 9MCPCh. 13 - Prob. 10MCPCh. 13 - Prob. 11MCPCh. 13 - Prob. 12MCPCh. 13 - Prob. 13MCPCh. 13 - Prob. 14MCPCh. 13 - Prob. 15MCPCh. 13 - Prob. 16MCPCh. 13 - Prob. 17MCPCh. 13 - Prob. 18MCPCh. 13 - Prob. 1RECh. 13 - Prob. 2RECh. 13 - Prob. 3RECh. 13 - Prob. 4RECh. 13 - Prob. 5RECh. 13 - Prob. 6RECh. 13 - Prob. 7RECh. 13 - Prob. 8RECh. 13 - Prob. 9RECh. 13 - Prob. 10RECh. 13 - Prob. 11RECh. 13 - Prob. 12RECh. 13 - Prob. 13RECh. 13 - Prob. 14RECh. 13 - Prob. 15RECh. 13 - Prob. 16RECh. 13 - Prob. 17RECh. 13 - Prob. 18RECh. 13 - Prob. 19RECh. 13 - Prob. 20RECh. 13 - Prob. 21RECh. 13 - Prob. 22RECh. 13 - Prob. 23RECh. 13 - Prob. 24RECh. 13 - Prob. 25RECh. 13 - Prob. 26RECh. 13 - Prob. 27RECh. 13 - Prob. 28RECh. 13 - Prob. 29RECh. 13 - Prob. 30RECh. 13 - Prob. 31RECh. 13 - Prob. 32RECh. 13 - Prob. 33RECh. 13 - Prob. 34RECh. 13 - Prob. 35RECh. 13 - Prob. 36RECh. 13 - Prob. 37RECh. 13 - Prob. 38RECh. 13 - Prob. 39RECh. 13 - Prob. 40RECh. 13 - Prob. 41RECh. 13 - Prob. 42RECh. 13 - Prob. 43RECh. 13 - Prob. 44RECh. 13 - Prob. 45RECh. 13 - Prob. 46RECh. 13 - Prob. 47RECh. 13 - Prob. 48RECh. 13 - Prob. 49RECh. 13 - Prob. 50RECh. 13 - Prob. 51RECh. 13 - Prob. 52RECh. 13 - Prob. 1TCh. 13 - Prob. 2TCh. 13 - Prob. 3TCh. 13 - Prob. 4TCh. 13 - Prob. 5TCh. 13 - Prob. 6TCh. 13 - Prob. 7TCh. 13 - Prob. 8TCh. 13 - Prob. 9TCh. 13 - Prob. 10TCh. 13 - Prob. 11TCh. 13 - Prob. 12TCh. 13 - Prob. 13TCh. 13 - Prob. 14TCh. 13 - Prob. 15TCh. 13 - Prob. 16TCh. 13 - Prob. 17TCh. 13 - Prob. 18TCh. 13 - Prob. 1CRECh. 13 - Prob. 2CRECh. 13 - Prob. 3CRECh. 13 - Prob. 4CRECh. 13 - Prob. 5CRECh. 13 - Prob. 6CRECh. 13 - Prob. 7CRECh. 13 - Prob. 8CRECh. 13 - Prob. 9CRECh. 13 - Prob. 10CRECh. 13 - Prob. 11CRECh. 13 - Prob. 12CRECh. 13 - Prob. 13CRECh. 13 - Prob. 14CRECh. 13 - Prob. 15CRECh. 13 - Prob. 16CRECh. 13 - Prob. 17CRECh. 13 - Prob. 18CRECh. 13 - Prob. 19CRECh. 13 - Prob. 20CRECh. 13 - Prob. 21CRECh. 13 - Prob. 22CRECh. 13 - Prob. 23CRECh. 13 - Prob. 24CRECh. 13 - Prob. 25CRE
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- You are given a plane Π in R3 defined by two vectors, p1 and p2, and a subspace W in R3 spanned by twovectors, w1 and w2. Your task is to project the plane Π onto the subspace W.First, answer the question of what the projection matrix is that projects onto the subspace W and how toapply it to find the desired projection. Second, approach the task in a different way by using the Gram-Schmidtmethod to find an orthonormal basis for subspace W, before then using the resulting basis vectors for theprojection. Last, compare the results obtained from both methodsarrow_forwardPlane II is spanned by the vectors: - (2) · P² - (4) P1=2 P21 3 Subspace W is spanned by the vectors: 2 W1 - (9) · 1 W2 1 = (³)arrow_forwardshow that v3 = (−√3, −3, 3)⊤ is an eigenvector of M3 . Also here find the correspondingeigenvalue λ3 . Just from looking at M3 and its components, can you say something about the remaining twoeigenvalues? If so, what would you say? find v42 so that v4 = ( 2/5, v42, 1)⊤ is an eigenvector of M4 with corresp. eigenvalue λ4 = 45arrow_forward
- Chapter 4 Quiz 2 As always, show your work. 1) FindΘgivencscΘ=1.045. 2) Find Θ given sec Θ = 4.213. 3) Find Θ given cot Θ = 0.579. Solve the following three right triangles. B 21.0 34.6° ca 52.5 4)c 26° 5) A b 6) B 84.0 a 42° barrow_forwardQ1: A: Let M and N be two subspace of finite dimension linear space X, show that if M = N then dim M = dim N but the converse need not to be true. B: Let A and B two balanced subsets of a linear space X, show that whether An B and AUB are balanced sets or nor. Q2: Answer only two A:Let M be a subset of a linear space X, show that M is a hyperplane of X iff there exists ƒ€ X'/{0} and a € F such that M = (x = x/f&x) = x}. fe B:Show that every two norms on finite dimension linear space are equivalent C: Let f be a linear function from a normed space X in to a normed space Y, show that continuous at x, E X iff for any sequence (x) in X converge to Xo then the sequence (f(x)) converge to (f(x)) in Y. Q3: A:Let M be a closed subspace of a normed space X, constract a linear space X/M as normed space B: Let A be a finite dimension subspace of a Banach space X, show that A is closed. C: Show that every finite dimension normed space is Banach space.arrow_forward• Plane II is spanned by the vectors: P12 P2 = 1 • Subspace W is spanned by the vectors: W₁ = -- () · 2 1 W2 = 0arrow_forward
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