M Show that A(5,-4) B(7,-4) c(5,2) Is a right A.

Q: Q1: Let A [1 2 3;4 5 6;7 and B-19 8 7 6 5 4 3 2 1 C=[1 2 3; 4 5 6;7 8 9] Find A-4 B-3C ?

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Q: 2 Let A= then det(3A") = 6- -2 - 18 -6

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Q: Compute A - 613 and (613)A, where A = - A-613 = ☐ 6 - 4 3 2 -7 - 3 1 3

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Q: Let A = {Dirk, Johan, Frans, Sarie}, B = {Frans, Sarie, Tina, Klaas, Henrika}, C = {Hans, Frans}.…

A: The union of two sets A and B is the set of all those elements which are either in A or in B, i.e. A…

Q: Show that if A × B = B × A then A = B

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Q: 9. Evaluate W(1 +a, r, r?) (a) -2 (b) -2r (c) 2r (d) 2

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Q: e g(-2, -7), R(1, -5), S(4, -7), T(1, -9) QRST is a

A: Please see the explanation below

Q: If a = (4, 0, 4), b = (3, 4,-4), and c = (0, 4, 5), show that a x (b x c) = (a x b) x c. 60i + 96j -…

A: Solution: Step-1                         Given if a = 4, 0, 4 ,b = 3, 4, -4, and c = 0, 4, 5, show…

Q: 3. Integer Representation (48)10 = D16 (67)8 = C D10 = C D16 (4F)16 = C D10

A: For  (48)10 Hence (48)10 = (110000)2 = (60)8 = (30)16

Q: Determine O a. O b. dy d. (4r+3) (4r² +6r+3) r(r+1)(r+2) (4r+3) (4r²+6r+3) r(r+1)(r+2) r(r+1)(r+2)…

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Q: 2-₁ {2+-+5} 25. Evaluate L-1 (a) et+e-3t U (b) 2e-t+11e-3t (c) 2e- +11te-3t (d) e-t+11te-3t

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Q: 4.) -8n + 4(1 + 5n) %3 -бп — 14

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Q: 2- Show that: (-1)m (2m + 1)! NIE

A: Solution:     Definition of Bessel's function:

Q: Let ā= (2, 5, 7) and 6 = (1, 3, 4). (a - b) × (a + b) = X (3,16,33) X

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

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Q: When an (1) 3 2 ak+1 = -3ak +2 (k=1,2,3...), a₁ = (1) × [(2)″ +(3) (2) (3)

A: To determine the missing terms in the following.When a1=32ak+1=-3ak+2         k=1, 2, 3, ...,…

Q: 2. Find the length of PQ: 12 24

A: In a trapezium if non parallel sides are bisected into two equal parts and joined then length of…

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

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

Q: 2 Find u, 3v, v - u, and 2u + 5v. 3 u = (7, 6), v = (4, –4) %3D (a) u 3. (b) 3v (c) V - u

A: Given : u=<7,6> v=<4,-4>.

Q: 2. Using the fact that (AB)¹ = B-¹A¹, show that (ABC)¹ = C-¹B-¹A-¹.

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Q: b) -5 Y 5 4 3 2 + -4 -3 -2 -1 -] -5+ 2 3 4 5 व

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

Q: Vandermonds Theorem: 2 F₁ (-n, b; c; 1) (c-b) (c)₂

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Q: If n/(a – b) and lcm(2b, 2n) = 2, then gcd(2a, 2n) = %3D %3D

A: We have to find the gcd of the two numbers   gcd= greatest common divisor the two numbers are 2a…

Q: Let (4A)−¹= 2 4 -3 2 Get At.

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Q: In Z12, what is the order of a +b if a = 6 and a = 2? 3 A C B.

A: SOLUTION-

Q: If P( A U B) = 0.5 , P (B) = 0.2, P (A)=0.4 then || P(B|A) Is?

A: GivenP(A∪B)=0.5P(B)=0.2P(A)=0.4

Q: /(r² – 8)5

A: Use substitution method to find the integral

Q: de 20. J 90² +120 +9 (3y– 2)cy 24. Jy² +2y+17

A: To evaluate the given integrals.

Q: Then where a11 = where C11 = , a12 = , C12 = 5 = ( ² $). B A = a21 = , C21 = , B = A + BT = ,a22 =…

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Q: 5. If Ā= 2 4 If A and B -2 3) find: 5 7 (a) AB (b) Ã+E (c) 2A" - E (d) a" (A- E)

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Q: Let a = (5, – 3, 6) and b = (5, 3, 4). (a – 6) × (ã + 6) -| X (a +

A: Given: a→=5,-3,6and b→=5,3,4

Q: Let B : and i Then (7)8

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Q: If C(12,4)+C(12,5) = C(n, 5), then n is equal to

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