). then a

Q: 1 - 2 9) Ans. r = 1

A: Given the matrix . We need to find it's rank. As we know that rank of a matrix is number of non zero…

Q: 1. Let A = {a, h, g}, and B = {3,6}. Answer each of the following questions. %3D (а) Ах В (b) В х В

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Q: ST. As in pid. and find the mata'z 3D 3 B such that A- BBT,

A:

Q: 1 1 1| 1 1 1 If A =|1 1 1|, then A2018. _A?

A: Here given matrix is  A=111111111

Q: Let C: z-3 and I – 6dz. ONone of these

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Q: 2 solve the following set of three equations by Gramer and by A XI-X22X3 = 1 2X1 - X3 = 2 X₁ + X₂ +…

A: Given the system of equations: x1-x2-2x3=12x1-x3=2x1+x2+x3=3 Solve using Cramer's rule.

Q: If A and B are independent, and the P(A) = 0.35 and P(B) = 0.45 find: a) P(A ∩ B)…

A: Given that P(A) = 0.35 P(B) = 0.45 A, B are independent events.

Q: In(x+V +a?) +C

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Q: 0-2 1 -2 0 0 0 duced echelon form of the augmented matrix [A b] i 1 (a) Express the general solution…

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Q: If In elnx - = In (x – 4) = In2, then x %3D

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Q: Given that P(A or B) = 4P(A)= and P(A and B) = 5, find P(B). 19 OA. 72 O B. 7 96 OC. 7/12

A: given data P(A or B) = 1/4 P(A) = 1/8 P(A and B) = 1/9 P(B) = ?

Q: -1 15. Let A = 2 and B = Find X. A. [0 7] c5 기 В. D.

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Q: Ema thinks that (u) xw, exists. Paul disagrees with her. Who is right? Explain why.

A: Dot product gives a scalar value  .

Q: 11! 1.) 5!x4!x3! 2.) Р(8, 5) 3.) Р(12, 4)

A: Our aim is to solve the following :  1) 11!/(5!*4!*3!) 2) 10!/7! 3) P(8,5) As per our guidelines, we…

Q: | − x + 2| − 3 ≤4

A: Given  -x+2-3 ≤ 4 We have to find the values of x.

Q: If X = {1,2.3}, A and B are IFSs where A= (x,{1},{2}) and B = (x,0,{2,3)) then An B

A: Intersection of Two Sets The intersection of two sets is the set of elements that are common to…

Q: 5. Let A 3D, В %3 and C %3 Find a) (A · B)C b) А : (2С) c) ||B||2

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Q: Suppose a, b e (0, 5) and a b – a.

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Q: If a1, az, az,.-ans. be the A.P. and S, = a-1m+1+a-1m+2+a-1n+3 +.--+ am %3D Prove that :…

A: In this question we have to proof S1, S2, S3,.... are in Arithmetic Progression.

Q: Section 2.2 as) Given: mく3 > m<4 a Prove FH is not I to EG H.

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Q: ex iR Py, z)-0 fined diz H and x=2-4

A: We have to find partial derivative.

Q: Let A.B.(C X. Then, b.l AxcBnO=(AXB) NCAX() CAXB) NCAXC %3D Mixmney

A: Given that the sets, A, B, C⊂X. To prove that, A×B∩C=A×B∩A×C. By definition, A×B=x,y|x∈A and y∈B

Q: diverges. . Determine wether.the.semies.converyes.co.. .b.(.n.) .C... n³+ 3

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Q: 5 4 0 0 ( 1 1 5. Solve; a) 3 b) 0 0 0 1 2 1 - -2 0 0 0 4 5 5

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Q: 1. (D²+6D+9)y = e* (Use Reduction of Order Method)

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Q: Suppose A and B If A) = C(B) then a is equal to 2. Or O a a = 4 O b.o 1 Oc 6 Oda = 2

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Q: Tpy and B= -1 x² + x² + y² + 1 A<B

A: We have,  and,

Q: Given that P = () and Q: = () Then: P + Q =

A: solution is given below.

Q: Given A = 03-2 00 1 compute et.

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Q: Let A; = [i, i + 1], i = 1,2, 3, 4,... Then A n A2 N A3n A4 is O A. {1} O B. { } O C. [1,5] O D.…

A: We have Ai = i, i+1 and i = 1, 2, 3, 4 (we need to consider only up to 4 since we have up to A4…

Q: Y D Prox

A: Product of two sets