Let à = (0, 3, 2), b = (3, 1, 1), and c a = Compute the following: (à. b) (à. c) (à. b) e a. (b + c) = = 120 C = (10,30,15) ((c. c)a) a = . 29 (2, 6, 3).

Q: Compute A-213 and (213)A, where A = A-213 = (213)A= 4 - 1 3 1 - 5 1 1 - 3 -2 6-1 3 3-5 1 1 -3 -2

A:

Q: Simplify: Зw 5 w-3 3-w Зw-5 OA. 3-w Зw-5 O B. w-3 3w OC. w-3 Зw-5 OD. (w-3) | Зw+5 OE. w-3

A: We have  to simplify

Q: Compute each of the following. b. (3)* d. (-3). f. (1)** a. (- 10) - (" 10)° C. 50 147 e. g. 4+3 5-2…

A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide…

Q: If P(A) = 0.3, P(B) = 0.3, and P(A and B) = = P(A or B) = X 0.2, find P(A or B).

A: we have probability of P(A)= 0.3 and P(B)=0.3 and P(A and B)=0.2

Q: Compute the following: (1) C(6,4)= (2) C(7,5)=   (3) C(9,5)= (4) C(8,3)⋅C(8,5)=

A:

Q: | 0 0 1 1 1 00011 0 0 0 0 1 5 (If the arithmetic for computing an entry involves huge powers, you…

A: As per bartleby guidelines we are allowed to do maximum of 3 subparts

Q: If n(A) = 45, n(B) = 16, and n(A n B) = 2, find n(A U B).

A: Given :nA=45nB=16nA∩B=2

Q: In each part, use the given information to find A. (7A)-1 (b) (7A) -3 [] -2 = (d) (/+2A)-! = 2 4 5

A:

Q: For the numbers 12, 13, 15, 17, 20 Compute: SX   SX2   (SX) 2

A: Given data is12, 13, 15, 17 , 20

Q: 3 Let x = (9, −9, −4) and y = (-6, 6, -9) be in R³ and a be in R. Then ax + y = ( ,23).

A:

Q: (2 3. Let A = G) and B = (; ). Compute and compare: %3D a. Det(A + B), det(A) + det(B). b. det(3A),3…

A: We have A=2-135 and B=1211 Part(a) Now if we have a matrix M=abcd, then, detM=abcd=ad-bc Therefore,…

Q: IfP(A =0.3,P(B)=0.4andP(A and B)=0.7areAandBME?

A: The probabilities of the events are given as follows:

Q: (d) Develop an estimated regression equation for the data of the form ý = b, + b,x + b,x. (Round b,…

A: e) Consider the following table for necessary calculations. y x x2 12 22 484 22…

Q: Compute AB, where A AT B = = 24 09 4 -3 -1 and B = 76 (1 %). 6 4

A:

Q: (a) Compute A2, A3, .•. , A7• (b) What is A2015?why?

A: (a) Compute A2, A3, .•. , A7• (b) What is A2015?why?

Q: If S = {a, b, c} with P(a) = 4P(b) = 3P(c), find P(a).

A:

Q: What is the order of in GL2(R)?

A:

Q: verify that (A + B)T = AT + BT

A:

Q: If S = {a, b, c} with P(a) = 8P(b) = 2P(c), find P(a).

A:

Q: Let a=⟨−3,−2,2⟩ and b=⟨−4,−2,0⟩ Compute:

A: Given that          a = <-3, -2, 2 >    and    b = <-4, -2, 0> Here we have to compute…

Q: Let (4A)−¹= 2 4 -3 2 Get At.

A:

Q: If S = {a, b, c} with P(a) = 8P(b) = 5P(c), find P(a).

A: Total probability:If a sample space contains mutually exclusive and exhaustive events, then the sum…

Q: verify that (AB)T = BTAT

A: Given matrices: Now,

Q: Suppose SCR is a set of numbers. (a) Define inf(S) and sup(S). (b) Show that inf(S) = - sup(-S). (c)…

A: Set: A well-defined collection of objects or numbers is called a set. We can write a set in two…

Q: Compute: (1, 2, 3) ·(-2, 1, 0)

A:

Q: If P(A) = 0.5, P(B) = 0.8, and P(A or B) = 0.9, find P(A and B). P(A and B) =

A:

Q: U(9) has how many elements?

A: We know that- U(n) is the set of natural numbers  that are less than n and coprime to n.