Matrices & Determinants Questions and Answers

What is the x coordinate for Point A TYPE THE NUMBER ONLY 6 y 6 4 2 4 2 XA 0 2 4B 6 2 A 4 C 6

3x 2y z 5 2x 5y z 2 Given the system what would be the resulting equation if you combined these equations to eliminate the variable z Type a response

What is a recursive rule for the geometric sequence 6 18 54 162 Enter your answers in the boxes a1 an Basic 7 8 9 X D

11 mn mn

4 3y

a A florist is making 5 identical bridesmaid bouquets for a wedding She has 610 to spend including tax and wants 24 flowers for each bouquet Roses cost 0 each tulips cost 4 each and lilies cost 3 each She wants to have twice as many roses as the other 2 flowers combined in each bouquet Write the three equations representing the above scenario using r t and I to represent roses tulips and lilies Do not write any dollar signs or put any spaces If using all three variables answer should be written in order of r then t then I Part A The equation representing the TOTAL cost of ALL flowers would be Part B The equation representing the information given in the FOURTH sentence She wants to have twice as many roses as the other 2 flowers combined in each bouquet Part C The third equation representing the TOTAL flowers is b Part D Write the matrix equation that represents this scenario

Write the equation of the determinant of the following matrix

11 Simplify the following 3 7 4 17 6 14 i 1 A 14 24 1 12 18 10 0 192 0 B Cannot Solve C 14 1 18 5 14 5 D 18 17

12 Find the inverse of the matrix 2 0 2 0 10 3 0 1 0 25 0 0 5 0 1 0 A 0 75 0 0 5 0 25 0 0 5 B 0 1 0 0 75 0 0 5 c The inverse does not exist 125 0 0 25 D 0 1 0 0 375 0 0 25

14 Solve the following matrices to find the missing number and write your result in the empty box provided below

Solve the following system of equations algebraically for all values of a and 3y 52 45 62 3y 22 10 9a 3y 82 72

8 If Q is a 3 x 3 matrix with inverse Q 1 then QQ 1 1 1 111 1 1 100 0 1 0 001 001 0 10 1 00 0 0 0

5 Determine which matrix does not have an inverse 3 0 1 3 95 28 1 B 1 95 C 28 0 10 0 28 3

Select the difference matrix below 6 3 6 2 4 1 5 1 1 4 6 3 2 14 A 2 3 B D 4 4 5 10 0 2 1 8 12 212 1 4 507 5 10 0 6 8

Siobhan Jack and Riley are exploring a coral reef They swim down to different positions relative to the water s surface as shown in the table Which person swam the farthest HINT Draw a number line to help you What is the water s surface on the number line Position Relative to Person Water Surface ft Siobhan 8 Jack 5 4 Riley 11 O Siobhan O Jack

Kiran is flying a kite He gets tired so he stakes the kite into the ground The kite is on a string that is 12 feet long and makes a 45 degree angle with the ground How high is the kite 45 12 ft 8 49 ft 16 97 ft 7 ft 12

The Americans with Disabilities Act states that ramps must have an angle less than or equal to 4 8 degrees Remember a 4 8 degree angle in a right triangle has a 1 12 ratio for the legs Select all ramps that meet the Americans with Disabilities Act requirements 30 30 15 40 40 120 10 12 2 1

Technology required Mai is visiting Paris to see the Eiffel Tower She is 80 feet away when she spots it To see the top she has to look up at an angle of 85 7 degrees How tall is the Eiffel Tower round to two decimal places Height feet

4 4 2 0 2 4 2 As the function goes the left as x goes to negative infinity the function goes the function goes to up to infinity down to negative infinity

3 Select the solution to the system of equations shown below a 1 9 b 3 1 c 7 4 d 3 1 2x y 7 3x 4y 5

2 What is the solution to the system of equations below y 4x 5 3y 2x 5 A 2 3 B 2 4 C 1 9 D 3 2

The movement of the pro Match the expression on the left with its simplified form on the right Answer options on the right may be used more than once 1 31 3 31 131 131 3

Calculate the mean and median of the data set below 8 9 2 4 5 11 7 9 10 9 mean 7 4 median 8 5 mean 8 5 median 7 4 mean 7 4 median 8 mean 7 4 median 9

You decide to put 2 000 in a savings account to save for a 3 000 down payment on a new car If the account has an interest rate of 4 per year and is compounded monthly how long does it take until you have 3 000 without depositing any additional funds 121 862 years 12 1862 voor

Elijah invested 280 in an account paying an interest rate of 2 1 compounded continuously Assuming no deposits or withdrawals are made now long would it take to the nearest tenth of a year for the value of the account to reach 360

Solve by factoring x 12x 145 145 O O O O O O none of these choices 13 1 8 20 8 20 13 1 23 11 15

4 1 point The spirit club is conducting a survey to find out the favorite sport of the students in the high school Jake a member of the spirit club asks the members of the basketball team what is their favorite sport Is this sampling method representative of the entire school and explain No they were Jake s friends No the members of the basketball team are more likely to say that basketball is their favorite sport No too small a sample Yes their opinion is a good as anyones 000

An object is launched directly upward at 64 feet per second ft s from a platform 80 feet high When will it attain this height in seconds

Use the trigonometric ratios to find each angle measure to the nearest degree 16 17 18 cos X 0 3420 19 tan X 253180 sin X 20 sin X 0 94 21 1 2799 tan X cos X 83 129

What are the domain and range of the function f x 327 Domain 0 0 U 0 O Range 0 U 0 Domain 0 U 0 O Range 0 0 Domain O Range 0 0 Domain 0 U 0 O Range 0 0

If 360 is invested at an interest rate of 4 per year and is compounded quarterly how much will the investment be worth in 18 years Use the compound interest formula A P 1 175 86 422 39 t

20 1 point For a period of time an island s population grows exponentially If the continuous growth rate is 2 per year and the current population is 1613 what will the population years from now 1730 1068 2824 1855

16 1 point What is the Domain and Range of the following y 4 3 Domain All Real Numbers Range y 0 Domain x 0 Range y 0 Domain All Real Numbers Range All Real Numbers Domain All Real Numbers Range y 0 Previous

Find the inverse of the matrix using row reduction of the matrix of the form A I 1 0 0 2 1 3 0 0 1 100 213 0 0 1

If f x 5x what is f x O f x 5x O f x O f x O f x 5x 1 X

N What side is congruent to side ON Side MN Side QR Side MO Side QP