D. Let Find 2,-

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

A:

Q: If ADEF ARST, then we can conclude that ZS

A: Given, Triangle DEF is congurent to Triangle RST

Q: b) Show that XNOT =

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Q: If (0,1) ~ (-1,1) and (-1,1) ~ R. Deduce that (0,1) ~R

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Q: Show that 1/2 ( Tn + Mn ) = T 2n

A:

Q: Let x = {1,2, 3, 4} and P= { {},{2,3} , {43} - っ- %3D nd

A: X=1,2,3,4P=1,2,3,4

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

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Q: Prove that S3 = Inn(S3) = Aut(S3).

A:

Q: Let ā = and b . Find 3ā + b. -

A: We will simply use vector addition rules to find the answer

Q: ZA is complementary to ZB and ZB is 8. Suppose

A: If two angles are complementary then they makes to 90°. If two angles are supplementary then they…

Q: Compute A - 31z and (313 )A, where A =

A: Given,       A=5-14-44-6-321

Q: 2.If alb and alc then al Cbx tcy) for all X>YEZ.

A:

Q: Compute Re if z₁ = 5√√2 + 2√3i, and z2 = 3√√√2-5√3i 2

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Q: Let Xis Hilber @ 1| + |1

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Q: +prove by indirect method that if X+y>5 then x>2 or

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Q: 4 Show that a + B = B +a for all a, BE C.

A: We can write alpha and Beta in general form of element of complex number.

Q: HeW. By the Same way Prove that: X Ju (x) (X)

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Q: х-у If z=x²sinh then дхду 4-

A: Find partial derivatives.

Q: Show that when |z +1| < 1,z² =1+£(n +1)(z+1)" n=1

A:

Q: 4. Let b > a > 0. Show that (a,b] is neither closed nor open.

A: Explanation of the solution is given below....

Q: Express y as a fiunetion af k if y - 2r+5, 1- V3t -1, and t- 3k - 5.

A:

Q: Let gt): csc (U) for Oct C! and CSC 2- 13/2- 2 How do I find fogle)

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Q: Prop (1.23 ≤ x ≤ 1.72) = Prop (-2.50 ≤ x ≤ 0.5) = Prop (x ≥ 3.00)

A: here use normal distribution table

Q: Let 1)" Find sup A and inf A. Provide some explanations how you got their values or why they don't…

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Q: Suppose T: R + P, has an action on a

A: Given, And

Q: verify that (AT )T = A

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Q: *prove that for . P+2+3+... +n° = 2 n=!,2,3,

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Q: Prove that (S ⋂ T)c = Sc ⋃ Tc and  (S  ⋃ T)c = Sc ⋂ Tc .

A:

Q: 2) Find VH if DH=1 U H G

A:

Q: Compute [GL2 (R): SL₂(R)].

A: To find: The value of GL2ℝ : SL2ℝ .

Q: If ADEF ARST, then we can conclude that ZR

A: Explanation of the solution is given below...

Q: FinD Z 1. to #a-z°

A: Givenz=-2

Q: Verify S Tokes' Theorem To 2.

A: Introduction: We know that stoke's theorem is given by the formula, ∮CF.dr=∬s2∇×F·n.dσ

Q: Let D = {2, 4, 8) "For every z D, 2x¹ €

A: Given that set D = { 2, 4, 8}  And statement is  " For every x in D,   2| x". We need to check that…

Q: If A ⊂ B, can A and B be independent under any circumstances? Explain

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Q: ,- ). Show that there a 3,4

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Q: Let a = (1, 3, 8) and b = (7, 3, 4). Compute 5a + 7b

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Q: 4 Evaluate f, S, 6xy² dydx

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Q: Let a = and b = . Find - à - b.

A: Given :a→=5, -5, -1b→=-4, 4, 0

Q: If X~N(0,1) then X2~

A: In question,  Given that X~N(0,1). Then we'll find the distribution of X2. he solution is below,

Q: Let T, >0 be given. S

A: Given,                      Tt=KTxx, 0&lt;x&lt;L, t&gt;0,                   ...(1)        T(0, t)=0,…

Q: Compute det B4 where B

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Q: (2) Find the value of ß (,-)

A:

Q: Prove that √2+√5 is irritational

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Q: 3. Prove that (An B)² C A x B.

A:

Q: Compute d(ū, ū), d(ū, w) and d(ū, w) where ū, ū and w are

A: Given: u¯=12-48, v¯=8-241 and w¯=2-418 To find: du¯, v¯, du¯, w¯ and dv¯, w¯ where d is distance…