#4 please 3. Suppose()Supposea)2L: 12² 12² 12→andclaimwriteور4.useT([3])computewhy do youL- (@:))=(-3)L ([6]) = [²]thisNow!L (a [²] +* Dony(9)*(())sincesamesolvesolveusingsystem¹ (~]) = L (a [²] + b (6])(youjustbCan(F))a linear transformationasLenoughknowisa{[@], []}using system of equations A(³)foundаI nearatoL.T,given.Find it.andin(1)4L (a (²]) + L (+ [2]) (sums preserved)= aL ([²]) + ₂ L ([x])buse.Yourlogicaf• T islinear•T([0])T([:]) = (²)•T([9])(0)figure outCombinationدهweformsknow3to22T: R²² ->R²offind(Scalar mults Preserved)"b" andathewritebasis of IR²?and[3]"givens" tooud setsteps

Answered: 4. use T([3]) same 3 to 2 T: R²-> R²…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 2EQ: 2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed...

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2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed in the test tube each day and the data on daily food consumption by the bacteria (in units per day) are as shown in Table 2.7. How many bacteria of each strain can coexist in the test tube and consume all of the food? Table 2.7 Bacteria Strain I Bacteria Strain II Bacteria Strain III Food A 1 2 0 Food B 2 1 3 Food C 1 1 1
Suppose a company charges a premium of $150 per year for an insurance policy for storm damage to roofs. Actuarial studies show that in case of a storm, the insurance company will pay out an average of $8000 for damage to a composition shingle roof and an average of $12,000 for damage to a shake roof. They also determine that out of every 10,000 policies, there are 7 claims per year made on composition shingle roofs and 11 claims per year made on shake roofs. What is the company’s expected value (i.e., expected profit) per year of a storm insurance policy? What annual profit can the company expect if it issues 1000 such policies? Determine the probability of a composition shingle roof claim out of 10,000 = ______ Determine the probability of a shake roof claim out of 10,000 = ______ How many claims are made out of 10,000? = _______ What is the probability of no claims out of 10,000? = _______ How much does each shingle roof claim cost the company, don’t forget each person pays $150…
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4. use T([3]) same 3 to 2 T: R²-> R² log, c as • T is linear • T([:]) = (²) • T([9]) = (-4) find write oud उसने steps