Three matrices A, B, and C are given. Verify by computation of both sides the associative law A(BC) = (AB)C. 3 6 1 -7 -9 -6 3-1 A = B= -69 -26 C= ... Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. OA. A(BC) = (AB)C= (Simplify your answers.) B. A(BC)= and (AB)C= which are not equal to each other.

Q: 10 Re(1 + i)¹⁰ Select one: O a. 0 O b. 1/2 O c. 3/4 O d. 5/6

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Q: Use the union rule to answer. If n(A) = 6, n(B) = 11 and n(An B) = 5, what is n(A U B)? n(A U B) =

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Q: An BnC (A-B)U(A-C)U(3 Match each of the options above to the items below. S Di An (BUC) 4

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Q: C A If CA = 5x + 5 and EA = 10x - 20, find CE. %3D O 60 O30 O 10 10

A: To find the CE

Q: Given A = {2, 5, 7} and B = {4, 5}, find B × A. O {(2, 4), (2, 5), (5, 4), (5, 5), (7, 4), (7, 5)}…

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Q: Find, if possible, (a) AB and (b) BA.

A:

Q: If -91 and B -3 [8 A = -10 3 4 then 188 А(5B) -

A: We will find out the required value.

Q: O Find Adi A if A= [5 2 1. 3. 4 6 3 2 3 5 4 1 hnd Adj A if A=

A:

Q: What is the difference of (e+fi)-(g+hi)

A: To find the difference of (e+f i ) -(g + h i )

Q: Multiply. dis (4) . cis (4) O fás (4) O fás () Ocis () Ofds () fas 19 cis 19

A:

Q: Find, if possible, (a) AB and (b) BA.

A: We know the order of a matrix is defined as  ---->  m x n where, m = number of rows…

Q: 2p² + 3p² + 4p - 12 = 5p² + 4p - 12 Select one: True O False

A: The given expression is:

Q: Let a 51 – 2j and b- 21 +j- 7k then what is a. b =? O a. 1 O b. -12 Oc-8 O d. 12 O e. 8

A: a= 5i -2j  b = 2i + 1j -7k

Q: -5,-12, -19,-26, .. A а, 3-5n + 1 %D a n = -7n + 2 а, 3D-7п - 12 a 72 D a, = 7n – 12 %D

A:

Q: Solve the differential equation. g'(x) = 27x2, g(0) = -6 %3D g(x) =

A:

Q: Exercises 9-12: Critical Thinking Suppose that h and k are positive numbers. Match each equation to…

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Q: Find, if possible, (a) AB and (b) BA.

A: (a) Consider the given matrices A and B. As the number of the rows is equal to the number of columns…

Q: ū = (-2,5) and v = (4, 8), find –3ü+ ū. %3D elect the correct answer below: (2, 13) (7, 13) (2, – 7)…

A: Simplification

Q: Use the union rule to answer the question. If n(A n B) = 8, n(A U B) = 34 and n(A) = 32, what is…

A: We know,      n(A U B) = n(A) + n(B) - n(A ∩ B)      => n(B) = n(A U B) + n(A ∩ B) - n(A)

Q: Let A = {1, {b}, {1, b}} a. Place an e or in the blank to make each of the following statements…

A: ● Let x be an element of a set A , then its denoted as x∈A .● If All elements of a set B is present…

Q: Let A = {small, medium, large}, B = {blue, orange}, and C = {triangle, square}. List the elements of…

A: The objective of the question is to find the Cartesian product of sets A and B. The Cartesian…

Q: 2p² + 3p² + 4p - 12 = 5p² + 4p - 12 Select one: O True False

A:

Q: 0FXS 25 -F

A:

Q: If A={1,2} and B={a,b,c}, find: I. A*B II. P(B) III. n(P(A))

A: A={1,2} B={a,b,c} A*B={(1,a),(1,b),(1,c),(2,a),(2,b),(2,c)}     2)P(B)={…

Q: The table shows the movement of a stock for 30 randomly selected trading days. "Up" means the stock…

A:

Q: mplify the expression 1 2 16 C. 2 2 1. В. D. 2 4 41 64 21 192 O D

A:

Q: Find BA. A= BA= 0 -:] 7 -1 -3 0 -3 -5 -4

A: Finding the product of matrices.

Q: Let à (6, 7, 4) and 6=(3,2,2). = (a - b) × (a + b) i

A: We are given that, a→=6,7,-4, b→=3,2,2 We have to find: a→-b→×a→+b→

Q: Find, if possible, (a) AB and (b) BA.

A: A is a 3x3 matrix and B is a 3x1 matrix So the product AB will be possible. Because the number of…

Q: 1 -1 2 2 1 -1 A = 2 B = 1 3 2 4 C = 1 -1 4 -4 Find A - B, A+ B, and A + C.

A: Here, A and B are of the same order so A-B and A+B is possible but A+C is not possible because A and…

Q: Find the following expressions if a = (6r, 0, r), b = (6s, –s, 7s), and c = (2t, 10t, 5). a ·b = 1.…

A: We need to find dot product.

Q: d. (7, -5) h. (0, 1) c.(-8, 7) g. (7,-1) b. (-6, 6) a. (3, 8) f. (-4,-8) e. (5,-4) Part 1 out of 8…

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Q: (a + b) (a+b+c) = a² + 2ab + b² + ac + bc Select one: O True O False

A: Solution-

Q: MODE =

A: Mode is defined as that value which has the highest frequency.  In other words , mode is that value…