Linear Algebra Questions and Answers

etermine which figure shows alternate exterior angles b 3 Figure shows alternate exterior angles f

e of the supplement of a 74 angle The measure of the supplem Simplify your answer Type

The complementary angle of 59 8 is Type an integer or a dee

ect the correct choice that completes the sentence below o angles the sum of whose measures is 90 are called

Which of the following are trees and which are forests G F H R E I J A Is a forest A Is a tree 0 S OC Is a forest C Is a tree U K B U I V L B Is a forest B Is a tree H OD Is a forest D Is a tree G M R X F

3 Complete all parts of the graphic organizer Dot Pattern F Stage O Stage I Stage 2 Create a graph to represent the dot pattern using the table e a function to describe the dot pattern j x stage number Stage 3 Complete the table Find the number of dots in stage 4 of Dot Pattern F Stage Number x Number of Dots Describe the dot pattern s growth rate Linear 0 Quadratic Justification 1 2 Le Circle the function family that describes the dot pattern Provide a justification 3 Exponential 4 How many dots are in stage 21 Explain your thinking For which stage are there 99 dots Explain your thinking 100

4 A lake is in the shape of an isosceles triangle as shown in the picture You want to go from point A to point E 4 miles away on the opposite side of the lake in the shortest time possible You can walk at a rate of 4 miles per hour and row a boat at 2 miles per hour How should you proceed You may row a boat from A directly to E but that may not be the shortest time possible or is it Instead you may walk along the shore to a point B and then row a boat from B to E Determine the point B that will minimize the time of your travel A 0 0 B 1 9 C 4 2 E 4 0 D 4 2

Sketch a quadric surface that could have the traces shown Traces in x k k 2 Traces in y k k 1 k 0 ZA k 1 y k 1 k 0 k 2 X

Soru 1 4 puan A I The transpose of a diagonal matrix is again a diagonal matrix II If A and B are two matrices of the same size then B C A BA CA III Any diagonal matrix A of order n with nonzero entries on the main diagonal is an invertible matrix Which of the above statements is are TRUE B II and III only 1 C only II Soru 25 Cevap 0 I and II Sonraki Sc

Determine if the specified linear transformation is a one to one and b onto Justify your answer T X X2 X3 X4 x x2 x3 X4 X3 X40

Find the present value using the present value formula and a calculator Round your answer to the nearest cent Achieve 8 000 in three years at 3 5 simple interest

Chapter 8 The lower segment of a multiple single segment feature control frame acts just like any other tolerance table datum feature position control virtual condition OOO

3 5 f x x x fonksiyonunun t revini bulunuz A 2 3 x B 3 3 3 x 1 2 1 3 C x 3 1 2 x 1 2 x 1 D 3 1 X 2 2 x 3 x 23 E x 1 x 3 2

Find a general solution to the given equation for t 0 3 8 y t y t 2y t 0 The general solution is y t Use parentheses to clearly denote the argument of each function

Find a general solution to the given Cauchy Euler equation for t 0 12 0 dt dy 31 dt 15y 0 What are the roots of the associated characteristic equation Type an exact answer using radicals as needed Use a comma to separate answers as need

Find the powers and roots if they are real numbers If the solution is not a real number enter NOT REAL 256 81 a b 1 44 c 813 4 d 81 3 2

Perform the indicated operations and simplify 6x 16x 25y4 8y 15y 3

Function Behavior Question 5 Which of the following functions has the x axis as its horizontal asymptote That is its horizontal asymptote is the line y 0 Select one p x 2 O g x 2 h x Of x 2 2 1 x 1

A B C D Find the exact value of arcsin sin 0 1 1 RIN 2 EIG 6 EIN TC 2 5T

et y 8 sin 4x Find the amplitude the period and the phase shift bagay sob pot amplitude brig period phase shift

The party does not have a cake and the people do not have a celebration Which statement is equivalent to the given sentence OA It is false that the party has a cake and the people have a celebration OB The party has a cake and the people do not have a celebration OC It is false that the party has a cake or the people have a celebration OD The party has a cake and the people have a celebration

A good strategy must involve a unique competitive advantage True False

4 points The checkbook balance is 8 850 The total fees or charges deducted by the bank is 8 15 The interest credit is 5 12 Determine the adjusted checkbook 8 846 97 5 000 8 863 27 8 853 03

There are many ways to translate the graph so that it goes through the point 1 2 Describe two m N 2 1 0 1 2 I

1 point Convert each of the following integers from binary notation to hexadecimal notation a 100010010112 hexadecimal b 11010011010 2 hexadecimal c 10010001012 16 16

1 point Which of the following graphs are connected E 0 C F OA N R C B G S A S M R T B OD K 0 P

Here is a scatterplot comparing the length of an English paragraph translated into German What is the correlation between the lengths of these two paragraphs a about 0 9 b about 0 5 c close to 0 d about 0 5 e about 0 9 O A OB OD OE German paragraph lang J

We can see from the equation of the line that A study gathers data on the outside temperature during the winter in degrees Fahrenheit and the amount of natural gas a household consumes in cubic feet per day Call the temperature x and gas consumption y The house is heated with gas so x helps explain y The least squares regression line for predicting y from x is y 1344 17x The next two questions concern this line O as the temperature x goes up gas used y goes up because the slope 1344 is positive O as the temperature x goes up gas used y goes up because the slope 17 is positive as the temperature x goes up gas used y goes down because the slope 1344 is bigger than 17 O as the temperature x goes up gas used y goes down because the slope 17 is negative

On a day when the temperature is 25 degrees F the regression line predicts the amount of gas used to be A study gathers data on the outside temperature during the winter in degrees Fahrenheit and the amount of natural gas a household consumes in cubic feet per day Call the temperature x and gas consumption y The house is heated with gas so x helps explain y The least squares regression line for predicting y fromx is y 1344 17x The next two questions concern this line 33 175 cubic feet O 1 724 cubic feet O 1 383 cubic feet O 1 327 cubic feet 919 cubic feet

Which correlation indicates a strong negative straight line relationship a 1 50 b 0 99 c 0 00 d 0 40 e 0 95 O A OB O C O D O E

e the given initial value problem y 2y 36y 72y 0 y 0 14 y 0 28 y 0 376 te the auxiliary equation for the differential equation Type an equation using r as the variable

2 Solve 4ABC with A 51 a 12 cm b 8 cm Hint first check how many triangles are formed

a Find the value of m that makes the line g x tangent to the parabola f x Let f x 3x 1 and g x x 11 b Find the point of tangency intersection between f x and g x for the value of m found in part a Let f x 3x 1 and g x MX 11

1 2 3 PL K LLL Find the zeros and orders of zeros of the following functions a g e 1 h b c d e 2 2 sinz f cos z 1 Cos 2 1 2 COS sinh2z cosh z Log z 2 d Note that g 2 COS 2 1 0 iff z 2k for k Z We will show that all the zeros are double zeros First observe that g 2 so g 2km sin 2k 0 for all ke Z But g 2 cos z and so g 2km cos 2k 1 for all ke Z Hence all zeros are double zeros principal value g e 1 2 thus a simple zero at 0 Since e 1 is periodic we have simple zeros at i2 k k E Z i Logz 0 when z 1 and Arg z 0 thus at z 1 We write Log z Log 1 1 2 1 z 2 1 3 so we have a simple

Find the solution of linear equation using matrix and deter minants 6X 5jx x3 X4 0 x2 x3 2 2X1 5X1 M x3 2 4 1 8 x x4 j 73 TIP Consider that the coefficients of xn to matrix A can be grouped Assume matrix equation Ax B

In a thunderstorm the formula M t 5 1 gives the approximate distance M in miles from a lightning strike if it takes t seconds to hear the thunder after seeing the lightning If you are 9 8 miles away from the lightning flash how long will it take the sound of the thunder to reach you seconds for the sound to reach you Answer It will take

A ball is dropped from a height of 10 feet Each time it hits the ground it bounces to 80 of its previous height On which bounce will the ball have traveled 85 of its total distance both going down and up You must first define a bounce Fully justify and support your answer

LEJE SE JED 2 S contains only the vectors The new linearly independent set with the same span would be

K 5 Which of the following statement is true which one is false A AB BC DC AC B When three vectors are linearly dependent they are also coplanar vectors C is a unit vector D If then E ifu and spans R and u and are linearly dependent then and are coplanar vectors

4 Determine whether S 2 1 000 1 1 3 4 2 determine the rank and nullity of your matrix 1 is linearly independent Also 3 1

20 points Let L be the line given by the span of 3 6 in R Find a basis for the orthogonal complement L of L A basis for Lis

1 Find a solution to the following recurrence relations by iteration a an 2an 1 3 b an 3an 1 2 con ao 4 con ao 6

A B C collect and synthesize data about an individual s creditworthiness make lending decisions based on a calculated credit score apply calculate a credit score that is provided to creditors to make lending desicions MULTIPLE CHOICE Question 7 Listen Why could your credit report be different at the three major credit bureaus Select the TWO that apply A The credit score is the same at each credit bureau

What was the major goal of the Crusades Increase the power of the kings and strengthen fuedalism Defeat all Muslims and reconquer Spain O End the Hundred Years War O To capture Jerusalem and gain resources

A 646 000 property is depreciated for tax purposes by its owner with the straight line depreciation method The value of the building y after x months of use given by y 646 000 1800x dollars After how many months will the value of the building be 430 000 X months Nood Help

What score would you predict a student who studies for 10 hours to get on their math SAT Twenty students who took the SAT were asked how many hours they studied and what they scored on the math portion The least squared regression line of this data was calculated to be 9 350 25x where x is the number of hours studied and y is the math SAT score O 350 O 375 O 600 O 625

Twenty students who took the SAT were asked how many hours they studied and what they scored on the math portion The least squared regression line of this data was calculated to be 9 350 25x where x is the number of hours studied and y is the math SAT score 33 Which of the following statements is correct A B C D E O A OB O C OD For every extra hour studied the SAT math score will increase on average by 25 A student who studies 0 hours will automatically score a 350 on the SAT math portion For every extra hour studied the SAT math score will automatically increase by 25 A student who studies 0 hours will automatically score a 25 on the SAT math portion For every extra hour studied the SAT math score will decrease on average by 25

The set B 1 121 11 1 1 is a basis for P Find the coordinate vector of pit 1131 6 relative to Iple

2 Consider the discrete model Xn 1 x 1 Find the 2 cycle and determine its stability

Let f Qn Q be the endomorphism given by the following matrix with respect to the standard basis n 2 Determine all subspaces of Q that are f stable 0 0 2 00 1 CH 10 Tip Use the fact that the polynomial X 2 in Q X is irreducible for n 1