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Questions and Answers of College Algebra

Answer the question.It can be shown that the following matrices are inverses. What is their product (in either order)? -1 and [4 -4 5
Answer the question.What is the product -5 7 2 3 0||0 1 0 ? ][o 6 6 -1
Refer to Exercise 88(c). Show that the number 1.01 is a zero of the polynomial represented byUse the following matrices, where all elements are real numbers, to show that each statement is true for 2
Refer to Exercise 87(b). Show that the number 0.98359 is an approximate zero of the polynomial represented byExercise 87(b)Using advanced techniques from linear algebra, we can show that in the long
In certain parts of the Rocky Mountains, deer provide the main food source for mountain lions. When the deer population is large, the mountain lions thrive. However, a large mountain lion population
Mathematical ecologists created a model to analyze population dynamics of the endangered northern spotted owl in the Pacific Northwest. The ecologists divided the female owl population into three
The Bread Box, a small neighborhood bakery, sells four main items: sweet rolls, bread, cakes, and pies. The amount of each ingredient (in cups, except for eggs) required for these items is given by
Yagel’s Yogurt sells three types of yogurt: nonfat, regular, and super creamy, at three locations. Location I sells 50 gal of nonfat, 100 gal of regular, and 30 gal of super creamy each day.
Find AB and BA for the following matrices.Matrix B acts as the multiplicative _____________ element for 2 × 2 square matrices. /- and B = 1 ||
In Exercise 81, AB = A and BA = A. For this pair of matrices, B acts the same way for matrix multiplication as the number acts for multiplication of real numbers.Exercise 81 -1 |A = 1, B = | 0 1 -1
For the pair of matrices A and B, find (a) AB and (b) BA. -1 |A = 1, B = | 0 1 -1
For each pair of matrices A and B, find (a) AB and (b) BA. -1 0 , B = A :
For each pair of matrices A and B, find (a) AB and (b) BA. 0 -5 3 -1 3 ‚ B = 4 -5 -4 2.
For each pair of matrices A and B, find (a) AB and (b) BA.
Why is it not possible to find C2 for matrix C defined as follows. -5 4 0 3 6
Givenfind each product, if possible.A3 5 -2 B = | 0 -2 4 -5 4 -2, and C = 0 3 6 3 ||
Givenfind each product, if possible.A2 5 -2 B = | 0 -2 4 -5 4 -2, and C = 0 3 6 3 ||
Givenfind each product, if possible.CA 5 -2 B = | 0 -2 4 -5 4 -2, and C = 0 3 6 3 ||
Givenfind each product, if possible.AB 5 -2 B = | 0 -2 4 -5 4 -2, and C = 0 3 6 3 ||
Givenfind each product, if possible.CB 5 -2 B = | 0 -2 4 -5 4 -2, and C = 0 3 6 3 ||
Givenfind each product, if possible.BC 5 -2 B = | 0 -2 4 -5 4 -2, and C = 0 3 6 3 ||
Givenfind each product, if possible.AC 5 -2 B = | 0 -2 4 -5 4 -2, and C = 0 3 6 3 ||
Givenfind each product, if possible.BA 5 -2 B = | 0 -2 4 -5 4 -2, and C = 0 3 6 3 ||
Find the product, if possible. 7 -1 2 2 2 0 0 3 2 [3 -1 4 4,
Find the product, if possible. 4 -4 -2 -3 0 || 1 2 -1 3 2 -2 2 -1 4 4 -2 3.
Find the product, if possible. 3 -2 6 3 [0 3 -4] 0 4 2 -1
Find the product, if possible. 3 -2 4 [-2 4 1] 2 0 -1 4
Find the product, if possible. 1 2 4 -1 2 -3 5]L-2 1 2 5
Find the product, if possible. -3 0 2 -4 2 0 1] 4 0 2 6
Find the product, if possible. 0 2V3 -V7 2 V28 -6
Find the product, if possible. V3 2V5 3V2 4V3 V3 -V6
Find the product, if possible. V5 -9 2 1 /20 3 0 0] -2V5
Find the product, if possible. 8 -10 8. V2 V2 -V18 V3 V27 12 2.
Find the product, if possible. -2 3 5] -6 2 9 3.
Find each product, if possible. 3 -4 4 5 2 2.
Find each product, if possible. -1 5][6
Find each product, if possible. 1 2][-1] 3 4
Suppose that matrix A has dimension 2 × 3, B has dimension 3 × 5, and C has dimension 5 × 2. Decide whether the given product can be calculated. If it can, determine its dimension.CB
Suppose that matrix A has dimension 2 × 3, B has dimension 3 × 5, and C has dimension 5 × 2. Decide whether the given product can be calculated. If it can, determine its dimension.BC
Suppose that matrix A has dimension 2 × 3, B has dimension 3 × 5, and C has dimension 5 × 2. Decide whether the given product can be calculated. If it can, determine its dimension.AC
Suppose that matrix A has dimension 2 × 3, B has dimension 3 × 5, and C has dimension 5 × 2. Decide whether the given product can be calculated. If it can, determine its dimension.BA
Suppose that matrix A has dimension 2 × 3, B has dimension 3 × 5, and C has dimension 5 × 2. Decide whether the given product can be calculated. If it can, determine its dimension.CA
Suppose that matrix A has dimension 2 × 3, B has dimension 3 × 5, and C has dimension 5 × 2. Decide whether the given product can be calculated. If it can, determine its dimension.AB
Let Find each of the following. -6 2 4 0] -2 A = and B 0 3] || -A - B
Let Find each of the following. -2 4 and B 0 3] -6 2 4 0. 3 -A +-B
Let Find each of the following.-2A + 4B -2 4 and B 0 3] -6 2 4 0. 3
Let Find each of the following.2A - 3B -2 4 and B 0 3] -6 2 4 0. 3
Let Find each of the following. -2 4 and B 0 3] -6 2 4 0. 3
Let Find each of the following. -6 2 4 0] -2 A = and B 0 3] || -B 2
Let Find the following.-3B -2 4 and B 0 3] -6 2 4 0. 3
Let Find each of the following.2A -6 2 and B = -2 and 0. 4
Find each sum or difference, if possible. 4k – 8y 6z – 3x 5k + 6y 2z + 5x 2k + 5a 4k + 6a -4m + 2n 4т - 2n
Find each sum or difference, if possible. Зх + у —2у Г 2х Зу Зу. х+ 2у L5х х
Find each sum or difference, if possible. 7] -1 5V7 2 V7 3V28 [2V7 -6
Find each sum or difference, if possible. V3 [2V3 -4 9. 2 -V5 V5 -2 V8 -8 -7 3V2
Find each sum or difference, if possible. [4 6] – 3.
Find each sum or difference, if possible.[-4 3] - [5 8 2]
Find each sum or difference, if possible.[10 -4 6] - [-2 5 3]
Find each sum or difference, if possible. 12 4 3. -1
Find each sum or difference, if possible. 0. 12 0 -14. 11 0 -4 0]
Find each sum or difference, if possible. -6 8 -4 -2
Find each sum or difference, if possible. 21 -6]
Find each sum or difference, if possible. -2 [2 4 6] +|-4 -6
Find each sum or difference, if possible. 9 -10 -10 4 -3 5 8 9-
Find each sum or difference, if possible. 2 5 6 -3 4. [6 -9 2] 1 3] -8 4
Find each sum or difference, if possible. -3 2 -4 7. 2. -8 2]
Find each sum or difference, if possible. [2 -8 10 8° 3 -4 -6. 12 [5
Find the values of the variables for which each statement is true, if possible.Explain how to subtract two matrices.
Find the values of the variables for which each statement is true, if possible.Your friend missed the lecture on adding matrices. Explain to him how to add two matrices.
Find the values of the variables for which each statement is true, if possible. a + 2 3z + 1 10 -14 80 9. За 2z 5т 5m 3 8k 2k 5 [10 5
Find the values of the variables for which each statement is true, if possible. -7 + z 4r 8s 5 -9 8r 3 4 2 36 7 12a, 20 27 бр 2 5
Find the values of the variables for which each statement is true, if possible. 5 х — 4 9 y + 3 z + 4 -3 2 9 -3 8 5 ||
Find the values of the variables for which each statement is true, if possible. х -1 3 y+2 4 1 3 -1 4 1 8.
Find the values of the variables for which each statement is true, if possible. 3
Find the values of the variables for which each statement is true, if possible.[x y z] = [21 6]
Find the values of the variables for which each statement is true, if possible. c - 3 a + 3 b + 2 d – 4 -2
Find the values of the variables for which each statement is true, if possible. х+ 2 у —6 -2 8 y – Ɛ – 27 [z – 3 w+5]
Find the values of the variables for which each statement is true, if possible. 9 17 х 8 -12] Ly
Find the values of the variables for which each statement is true, if possible. -3 d] 5 [4 [ b
Find the dimension of the matrix. Identify any square, column, or row matrices.[-9]
Find the dimension of the matrix. Identify any square, column, or row matrices. 7.
Find the dimension of the matrix. Identify any square, column, or row matrices.[8 -2 4 6 3]
Find the dimension of the matrix. Identify any square, column, or row matrices. 8 0 0 19 2 9- 4 3 -5 7 1
Find the dimension of the matrix. Identify any square, column, or row matrices. -9 6 2 4 1 8]
Find the dimension of the matrix. Identify any square, column, or row matrices. -4 8 2 3]
For the following matrix product to be true, we must have x = ___________. 2 5 1][3 7] 25 3 ][2 -6 -4
Fill in the blank(s) to correctly complete the sentence.If the dimension of matrix A is 3 × 2 and the dimension of matrix B is 2 × 6, then the dimension of AB is ________________ .
Fill in the blank(s) to correctly complete the sentence.For the following scalar product to be true, we must have w = ______, x = _______, y = ______, and z = _______. х -1 |-2 Ly
Fill in the blank(s) to correctly complete the sentence.For the following difference to be true, we must have w = ______, x = _______, y = ______, and z = ________. 2 3 - У [5 12
Fill in the blank(s) to correctly complete the sentence.For the following sum to be true, we must have w = ______, x = ______, y = _______, and z = _______. 5 | 1 х Z. -3 10 4. || 2.
Fill in the blank(s) to correctly complete the sentence.For the following statement to be true, the value of x must be ________, and the value of y must be _________. 3 x + 1 -6 5 y + 1] [5
The GL company makes televisions. It produces a 32-inch screen that sells for $100 profit and a 48-inch screen that sells for $150 profit. On the assembly line, the 32-inch screen requires 3 hr, and
Theo requires two food supplements, I and II. He can get these supplements from two different products, A and B, as shown in the table. He must include at least 15 g of each supplement in his daily
Solve each problem.The manufacturing process requires that oil refineries manufacture at least 2 gal of gasoline for each gallon of fuel oil. To meet the winter demand for fuel oil, at least 3
An office manager wants to buy some filing cabinets. Cabinet A costs $10 each, requires 6 ft2 of floor space, and holds 8 ft3 of files. Cabinet B costs $20 each, requires 8 ft2 of floor space, and
Suppose that each medical kit aids 2 victims rather than 6, and each container of water serves 5 victims rather than 10.How many of each should be sent in order to maximize the number of victims
Solve each problem.An agency wants to ship food and clothing to tsunami victims in Japan. Commercial carriers have volunteered to transport the packages, provided they fit in the available cargo
Write a system of inequalities for each problem, and then graph the region of feasible solutions of the system.The California Almond Growers have 2400 boxes of almonds to be shipped from their plant
Write a system of inequalities for each problem, and then graph the region of feasible solutions of the system.Jane must supplement her daily diet with at least 6000 USP units of vitamin A, at least
Find the maximum and minimum values of each objective function over the region of feasible solutions shown at the right.objective function = 3x - y I(1, 10) (7, 9) (7, 6) НН (1, 0) х

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