Linear Algebra Questions and Answers

Solve for x X 14 x 5 7x 36

Write as a fraction Enter a reduced fraction 81 3

3 When applying Newton s method to solve the equation Az b where A is an n x n matrix answer the following a What choice of F will ensure that the solution to F z 0 solves A b b Determine the Jacobian matrix for the F defined in a and for an arbitrary initial vector 0 calculate

1 Employ the improved Broyden s method Algorithm 2 in lecture notes to solve the following syste of equations 7 72 1 0 122 6 0 with an initial vector 0 2 2 T Calculate 1 and 2

Previous Problem Problem List Next Problem Entered 4i 4j 8k 4i 4j 41 4j 9k 16i 12j 12k At least one of the answers above is NOT correct Answer Preview 4i 4j 8k W 4i 4j 4i 4j 9k 16i 12j 12k Result correct incorrect incorrect incorrect Below is a diagram of the dotted cube with edges of length 4 Suppose vectors u 4 0 0 v 0 4 0 and w 0 0 4 Find the following vectors

1 point Let v PQ where P 1 0 Q 1 2 Which of the vectors with the following given tails and heads are equivalent to v a Select 3 4 5 6 0 0 2 2 0 1 2 1 3 4 7 6 b Select c Select d Select Note You can earn partial credit on this problem

9 Ex 3 The vertices of a quadrilateral ABCD are A 3 1 B 0 2 C 1 5 and D 4 2 How would yo classify this polygon

Explain why 1 1 is not diagonalizable

Explain why 1 1 1 is not diagonalizable

Assigm8 Problem 16 1 point Suppose u 2 2 and 2 10 are two vectors that form the sides of a parallelogram Then the lengths of the two diagonals of the parallelogram are Separate answers with a comma

Let v 5 3 2 Find a unit vector in the same direction as v

1 point Let 5 1 1 3 and 2 5 Find the vector 10u In this case x that satisfies 4x w

1 point Suppose B 3 4 9 and AB 2 10 13 Then A help points

Ex 1 Calculate the slope of these lines Answers should always be left in fractions reduced to lowest terms b a 6 A 2 ol 0 2 y 2 A line segment that goes up to the right will have a B 4 X m rise run 1 4Y 2 2 10 2 4 6 N 2 X D

2z 2 Jz 0 25i C Find O dz where C Iz i 1 CCW

As an elected official you have been informed that real GDP is below its potential and that action should be taken to encourage economic growth and bring the economy to its long run equilibrium The marginal propensity to consume is 0 8 and the amount of new government spending is 500 billion What is the multiplier Compute this to the first place beyond the decimal Part 2 1 point By how much would the economy be stimulated billion See Hint

Suppose that an airplane is asked to stay in a holding pattern near an airport The distance of the plane to the airport is described by the following d t 145 64 sin In this equation d t is the distance of the plane to the airport in miles and t is the time in minutes after the plane enters the holding pattern During the first 12 minutes after the plane enters the holding pattern when will the plane be 110 miles from the airport Do not round any intermediate computations and round your answer s to the nearest hundredth of a minute If there is more than one answer enter additional answers with the or button t minutes or

A car rental company charges an initial fee plus an additional fee for each mile driven The charge depends on the type of car economy or luxury The charge E in dollars to rent an economy car is given by the function E 0 70M 11 95 where M is the number of miles driven The charge L in dollars to rent a luxury car is given by the function L 1 15M 16 40 Let C be how much more it costs to rent a luxury car than an economy car in dollars Write an equation relating C to M Simplify your answer as much possible C

13 16 000 deposit at an APR of 4 with semiannual compounding for 12 years

Heat is a O sufficient O necessary Toin O jointly necessary and sufficient causal condition for hardening an egg Oneither necessary nor sufficient Hepber Machen O LARGEST WAY nowanie

A computer is programmed to shade in a sector of a pie chart 2 44 cm in radius as shown in figure below If the perimeter of the shaded sector is 7 32 cm what is the central angle in degrees of the sector A B 0 57 3 0 59 4 0 55 8 Fig 8 54 2 44 cm Copyright 2015 Pearson Canada Inc

Question 7 7 To be a good liar you need to have a good memory What is this O Argument O Not an argument O No answer text provided

16 The journalist was arrested for speaking his mind on a subject since there is no civil right to fre speech in his country What is this O Argument O Explanation O No answer text provided

Question 17 17 The right of free speech is essential for a democracy because without it there can be criticisms of governmental policy What is this O Argument O Explanation No answer text provided

19 The Reformation was a good thing because it addressed the corruption of the Church What is this O Argument O Explanation O No answer text provided O No answer text provided

25 Though wind turbines kill birds and bats they are a cleaner source of energy than fossil fuels Which rhetorical technique assuring guarding discounting is being using in the following passage O Assuring O Guarding O Discounting

1 Whales are mammals What is this O Statement O Not a Statement O No answer text provided O No answer text provided

A particular negative statement is designated by the letter 1 R 2 O 3 A 4 E OR OA LL

What kind of standard form categorical statement is There are engineers who are painters OA ELE

S All S are P What does the above Venn diagram represent No S are P Some S are P X Some S are not P P

Categorical statements vary both in terms of quality and quantity True False No answer text provided No answer text provided

The following Venn diagram represents All S are P O True S O False O No answer text provided No answer text provided P

Assignment 1 7 points Determine all r such that the degree vector 8 x 7 6 6 5 4 3 3 1 1 1 is graphic vector Sketch a graph whenever possible

The length of a rectangle is 1 yd more than twice the width and the area of the rectangle is 66 yd Find the dimension the rectangle Length 0 yd 010 5

The table of ordered pairs x y gives an exponential function Write an equation for the function 0 X 1 0 1 y 5 10 20 2 40 8 08

A laptop computer is purchased for 1600 Each year its value is 75 of its value the year before After how many years will the laptop computer be worth 300 or less Use the calculator provided if necessary Write the smallest possible whole number answer yea years X

Solve for x using the natural logarithm A x ln 7 In 7 1 4 B x In 6 4 C x D x ln x ln 7 1 E x ln e4x 1

Find n A for the following set A x x is a woman who served as U S president before 1900 n A Type a whole number

K Find an element of set A that is not an element of set B A y y is a number between 5 and 13 B y y is an integer between 5 and 13 Choose the correct answer below O A 12 OB 5 5 O C 14 OD 7 0

plus ex 04 5 Explain the idea behind the CAPM what is the beta 24 5 Diff

Under ideal conditions a certain bacteria population is known to double every 3 hours Suppose there are initially 200 bacteria a Find the number of bacteria after 9 hours 1600 Correct Good Job P t 200e 0 231t b Find the function P t which gives the number of bacteria after t hours That s not it bacteria 19200 bacteria Preview 1600 bacteria bacteria Preview P t 200e0 bacteria c Estimate the number of bacteria after 19 hours Round your answer to the nearest whole number 0 231t Preview 19 200 bacteria

You and a friend go to Tacos Galore for lunch You order 6 soft tacos and 2 burritos for a total of 17 85 Your friend s order costs 18 00 total They bought 3 soft tacos and 9 burritos Write a system of equations to represent this situation

ange each number to polar form and then divide Express the result in polar form and rectangular form Check your answer by dividing the original numbers in rectangular form 2 4j 5 4j TUB he quotient in polar form is cos jsin Simplify your answers Round to one decimal place as needed Type any angle measures in degrees Use angle measures greater than or equal to 0 and less than 360 The quotient in rectangular form is Simplify your answer Use the answer from the previous step to find this answer Use integers or decimals rounded to one decimal place for any numbers in the expression Type your answer in tr Check your answer by dividing the original numbers in rectangular form 2 4j 5 4j Simplify your answer Use integers or decimals rounded to one decimal place for any numbers in the expression Type your answer in the form a bj

ermine the value of the unknown 5 log 3125 A 5 1 10 mplify your answer

Perform the indicated multiplication and express the results in polar and rectangular forms 57 7e 99 7 3e 671 What is the polar form of the given number Use integers or decimals rounded to the nearest hundredth for any numbers in the expression as needed Express complex numbers in terms of j Do not display the degree symbol in measures greater than or equal to 0 and less than 360 What is the rectangular form of the given number Use integers or decimals rounded to the nearest hundredth for any numbers in the expression as needed Express complex numbers in terms of j

No late submissions will be accepted lem 1 Suppose that cos 0 7 and tan 0 0 Determine the values of sin 20 cos 20 and tan 20

Use the Laplace transform table and the linearity of the Laplace transform to determine the following transforms 1 L 6e 3t t 2t 8 2 L 5 e2t 6t 3 Lt 3t et cost

em 3 Let 0 arcsin 1 where x 0 and is in the first Quadrant Use this information to answer the following questions a Sketch and complete a right angle triangle containing the angle 0 b Use the triangle from part a to find the values of all the other trigonometric functions of 0

Suppose you want 25 000 in 14 years to purchase a car Find the amount of mone you should deposit today at each A P R annual percentage rate below Round each answer to the nearest penny a 9 compounded monthly deposit b 11 compounded quarterly deposit

K Suppose there are 17 pairs of values for two variables x and y Use the table of critical values and the given value of the linear correlation coefficient r for x and y to determine whether we can be 95 or 99 confident that there is significant linear correlation between x and y r 0 7684 Click the icon to view the table of critical values for the linear correlation coefficient Can we be 95 confident that there is significant linear correlation between x and y O Yes O No Can we be 99 confident that there is significant linear correlation between x and y This question 1 point s possible O No O Yes Table of critical values n 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 a 05 950 878 811 754 707 666 632 602 576 553 532 514 497 482 468 456 444 01 999 959 917 875 834 798 765 735 708 684 661 641 623 606 590 575 561 X