3 1 Let A = Write 2A. Is det(2A) equal to 2det(A)? 2 9

Q: 1. a|b iff ac\bc, where c # 0. 2. If alc and a+ b= c, then a|b. 3. 7|23n – 1, Vn € N -

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Q: Q2/Let X-N(4,9). Find (a) P(1 2). (c) P(|X-21 >5)

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Q: 3 ve AB: BBT = ? A FIND 7. 4 2 OA) 2 -1 4 -2] OB) -2 1 [] --4 2° 2 1 OD) -4 2 OE) 2 -1

A: We have to find BBT .

Q: 3 2 Let A = Write 2A. Is det(2A) equal to 2det(A)? 1 9 2A =

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Q: ? 4 1. F(x, y) : = x (7) x? +y° ° x2 + y? ? ; 2. F(x, y) = ? ਦ ਵਿੱਚ) 4 3. F(x, y) = (x, y) y A…

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Q: 4. What is the coefficient of x? a) in (1 + 2x)117 b) in (2 – x)13? c) in (5 – 2x + y)'1, where y is…

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Q: Let an+2 3an+1+0an. If ao =4 and a1 =6, what is the value of a4?

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Q: Given: <5 is supplementary to <4. a. What can you conclude about < 5 and < 3? b. State…

A: Given: ∠5 is supplementary ∠4.

Q: Which of the following statements about BC and BD is true? 10 B 54-3-2 -11l 12 3456 7 8

A: Given that:

Q: 41. If yo Yı • Y2 , Y6 are the consecutive terms of a seies, ..., then prove that Yz = 0- 05 (yo+…

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Q: Q2/ Let X-N(4,9). Find (a) P(1 2). (c) P(|X2| >5)

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Q: 4. A C B So pro 0 - mACB = 110; m/1 = ?

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Q: 2. Find x in b = ax if a=23 and b=368. Reply in this format: 1. q = r = 2. x =

A: The given expression is: b=axwhere:a=23        and       b=368

Q: Determine whether the following is true: (a) (b) n+1 Σ₁2²= n · 2n+² + 2, i=1 n i-0 3¹ 1- 3n+1 13…

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Q: Q1) If B = B-1 then B = I or B = -I. Prove or give counter example. %3D

A: A detailed solution is given below.

Q: Given: B 2 30° V3 A AC = O1 O 1/2 O V3/2

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Q: r* – 2 Show, using the definition, that is O(z²). z +1

A: Here, To satisfy the definition of O(x2), we need to find an appropriate choice of c and k.Let’s…

Q: 7x? x lif -<x< TY½ fow if -<x<T% if 计 T6exesy X< 37 3.

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Q: if it was A j +2k and B= so 4R + 20 -太2 21 +9d+ 221 6- + 9 j -k 6. 9 not of the above

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Q: Va +3b + Va – 3b If x=- Va+36 – Va– 3b prove that 3bx² – 2ax +3b = 0 | - -

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Q: 29 – 49 - dy C. 2+ 4y · Evaluate using substitution

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Q: D =1-r and y(x) = -4 are radict The Existence and U

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Q: Q1) If B = B¯' then B = I or B = –1. Prove or give counter example. %3D

A: B=B-1To prove or disprove B=I or B=-I

Q: For all numbers x: Ixl >.. Which is the appropriate counterexample? O 1 O 1 O 2 O 2

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Q: 5) Let A= 18 Using Caley-Hamilton theorem find the expression A* -19A³ + 18A? + A + 21.

A: Please refer the attached image for complete solution.

Q: Y = -2X, then p(X, Y) = 1?

A: Solution

Q: 2. [ID # ending in 4 or 7] 2 av Determine (+) ax if v csch y = e*x² . дх ду ду

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Q: Simplify #28

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Q: 31 Let A = B = 0 2 -10 If X'B = A, then X= 0 2

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Q: Q No 4 Evaluate (a) S 3x+4x+16x+20x+9dx (x+2)(x²+3)²

A: NOTE- I HAVE ANSWERED FIRST QUESTIO FOR YOU. IF YOU WANT THE SOLUTION OF REMAINING QUESTIONS THEN…

Q: -2/2] 2 3) If A= and B 2 2v21. Show that A and B commutative.

A: The two matrices A and B are said to be commutative if AB=BA. The given matrices are…

Q: 4 GuNeer that K 9 laJ ) ficed fle xale of K 2 5,

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Q: 51 3 -[---] -4 2 -2 Let u= (a) 5u-2v, 3 V= 5 W= -1 Find:

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Q: 13. 15-16) Which of the following expressions is equal to (2 Points) (4y + 1)(16y2 – 4y + 1)? -

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Q: 3n 77 fonksiyonunun aralığındaki değeri aşağıdakilerden hangisidir? -3 A) 3 B) C)= D)- E) 6.

A: The given function is  f(x) = |sinx| Interval is given as 3pi/2 to 7pi/3

Q: 10 Let A = ,C = 6 1 and D ,B = -3 -7 Find X, if AB" + 14C¬1 – |D|X = 0 %3D

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Q: 9. (7x + 2) W S T. (4x + 23)- M2VWY = M2SWX = © Gina Wilson (All Things Algebra®, LLC), 2

A: Angle XWS +SWV+WVY=180°

Q: 1. FIND ALL NUMBERS Z SUCH A23 Bz? +C2 = D 2 4 2 THAT %3D A = 13 1| T-1117 B = 124 2] 1 -2 -1 1 3 1…

A: Given A = 242131B = -1111-2-1C = 242131D = 1-1-1-121 Clearly C=AD=-B

Q: Let ū : 0| and d 2 %3D .2 3 n projju = and perpru =

A: Given,           u →=102     and     d →=123

Q: 16. There ar three integers x, y and z such that xSys258, x+y+z%=12 and xy+yz+zr=27. What is the…

A: Let's find.

Q: 21 Let vi = 4 V2 = -7,V3 3 6 Does (V1, V2, V3) Sspan R?

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Q: Sc dz, where C is |z – 2| = 5. z (z-1)2 Evaluate:

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Q: A) > 0 and P(B) > 0, then: are mutually exclusive, they cann

A: Mutually exclusive event  we can define it as It is impossible for two occurrences that are mutually…

Q: B. GIVEN: 1= X2. PROVE: AB # BC. 24. E A C D.

A: We have to prove the given statement.

Q: Q3) Assume A = [4 6 3 11 7 2 [32] and B = 1 14 5 show that (AB)' = B' A' 31

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Q: 27TT 3. x = y2 and x + y = 2 is revolved about y = 1. (Answer: c. u.) 2

A: We need to find the volume of the region, bounded by the curves x=y2, x+y=2 which is revolved about…

Q: 27 1 2-r2 4. Evaluate: r dz dr de Jo

A: Solution

Q: (33) Let X = b(20, p) and E-x) = E(3–10x) find p. р.

A: Let X follows binomial distribution with parameters ( n =20, p) The mean of X is, Use the…