Example 3: Let B = {b, ,b,} and C ={c,,c,} be bases for R? with b, : 8. 1 1 c, = and c, (a) Find P CEB (b) Find P BEC b2

Q: 01- find the values of x and y for the following:- (1 + i)² 2-i a) = x + yi

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Q: If P(A) = 0.5, P(B)= 0.40 and P(A U B) = 0.70, find P(A/B) and P(A U B) where A is the complement of…

A: HERE GIVEN, p(A) = 0.5 p(B) = 0.40 p(A ∪ B) = 0.70

Q: If [1 2 3 A = 3 -1 3] -1 0 2 23 1 of Find 2A - B stion Select one: a. none O b. -153 -5 6 0] O C.…

A: Solve the matrix

Q: ii) Find the dot product of the vector a in part (i) with the displacement vector AB such that…

A: Given that  Following vectors  To find the dot product

Q: Show that we can have: (a) ANB = ANC without B = C. (b) AUB = AUC without B = C.

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Q: Find real numbers x and y such that ty 2 2 - i i+3 1 +1

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

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Q: -2 2 2

A: A graph of the function is given, we have to find the equation of the graph.

Q: Q: Find the numbers a,b,c between 2 and 18 such that: (i) their sum is 25. (ii) The number 2,a,b are…

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Q: Let 10 0 B: 0 0 1 01 0 then find B2, B, B, B³ and B to figure out the pattern for B". Then find:…

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Q: If z, = 12 +5i and z, = -5-3i then find: Z2 2- zzlz -I Z2 3.

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Q: Compute each of the following. (2bdm from 5.4) a) (12) (1253) b) (1423) (34) (56)(1324) c) (12)-¹

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Q: Find w, x, y, and z so that W X 4 3 8 -3 2 4 -4 |

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Q: 6.1 Calculate the order of the element a) (4,9) in Z18XZ18- b) (7,5) in Z12×Zg. c) (8,6,4) in Z18×…

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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: 0FXS 25 -F

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Q: Given a = (1, 2, 1) and b = (k, 1, 2) and a × b = √35. Determine the ax value(s) of k.

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Q: 6. For A, B, subscts of R, define A+B= {a+b:a€ A, bE B} and A B= (ab:a € A,bE B} (a) For A=…

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Q: 0 b and B: b Let A = Show AB = - BA.

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Q: 2. If p = 41+2j – k, q = 6i+ 6j– 2k and 7 = -3i – 4j– 3k, evaluate a) q• (p- 2r) b) (r +g• p) c)…

A: Here we use formula of dot product of two vector, and addition, subtraction, multiplication of…

Q: Let the input of a subtractor is A and B then what the output will be if A = B? (а) (b) 1 (c) (d) A…

A: Let the input of a subtractor is A and B then what the output will be if A=B?

Q: Q7) Calculate AC. BC and (A + B)C. Also, verify that (A + B)C=AC + BC 0 6 7 [0 1 1] If A = -6 0 8,B=…

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Q: If u (0,-V3, -3) then lull 8. Select one: a. 3 b. 0 C. V3 d. 3+V3

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Q: 1. (2ab)3 Ob) 2ab3 Oa) 8a3b3 O d) 6ab O ) 6a b3 Simplify:(x*Xx?) 2. O b) x6 O a) x5 O d) x1.5 O C) X

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Q: For -3-3: (a) Find the modulus and argument of z. (b) Express + in the form of a+ib where a,beR.

A: This is a problem related to complex number. Based on the general concept and formula used for…

Q: If a? + b² = 1 and c2 +d² = 2 then the value of (ac+ bd)² + (ad – bc)² is, a. b. с. 1 d. 2 -/2419

A: Given

Q: Let ā = 6i – 5j and b 4i + j. Find a :

A: Here I am attaching image so that you understand each and every step.

Q: 1) Evaluate. X-4 3X+7

A: Evaluate at x =4,3x+7

Q: Use (9.11) and (9.12) to simplify (ABTC)T, (С-1мс) -1, (АН) -"(АНА-1)"(НА-1) -1.

A: For (ABTC)T by using (9.11) we get (ABTC)T = CT(BT)TAT As (BT)T = B Hence (ABTC)T = CTBAT

Q: QUESTION 8 What is the y-intercept of y = 4x - 10? O A. (-10, 0) O B. (2.5, 0) O C. (0, -10) O D.…

A: Consider the given equation. y=4x-10 The above equation is a line equation. Put x=0 to find the…