Z1 is complementary to 2; 2 is complementary Given: 2 B 3 A E to 23 Prove: BD || AE

Q: 4-IN THE ADJACENT FIGURE, IF AB = AC AND DB = EC, PROVE THAT ABEC = ACBD

A: Consider the side AB as x. Since AB is equal to AC, so, AC is also equal to x. Consider the side BD…

Q: : Prove that (→āx5)(cxa) = a.c.a.a 6.c.b.d %3D

A: We use properties of scalar and vector triple product to prove this Question

Q: 6. Let An = [−3⁄, 1 + ¹). Find ♂ Añ and justify (not prove) that your answer is correct. n=1

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Q: Let Give the 2,1 entry of 4-¹. a) 0-¹ b) 0¹/2 c) 03/2 d) 0-5 e) 0-2 f) O None of the above. 02 2 A-1…

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Q: [3 4 11 What is element a22 in B* if B = 2 3 2 lo 1 1]

A: The matrix B is given.  We first find the determinant of B and then adjoint of B and find  B-1…

Q: A.2 (b) Show that, in general, ßo ‡ Bo, and find in terms of Y;. In what particular case is ßo = Bo?…

A: Simple Linear Regression(SLR)          It is a statistical method that allows us to summarize and…

Q: 5. AVWX = AXTU W T. V. ZWXV = ?

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Q: B = and C: .Prove that A = B² =C? = 1. 3. Given A = %3D

A: Given: A=0110, B=0-ii0, C=100-1 We know that for a 2×2 matrixP=abcd, P2 is given by…

Q: Given: P1: (A V B) ⇒ (CAD) P2: (D V E) ⇒F C: A ⇒ F Prove that P1, P2 - C.

A: Given: P1: A∨B⇒C∧DP2: D∨E⇒FC: A⇒FTo prove: P1, P2├C

Q: :""n e Z*, if n³ = 3k for some k E Z, then n = 3q for some q E Z." %| %3D

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Q: Provide a left-hand-side, right-hand-side proof of the following: dt

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Q: Prove if: beR – {0,1} and a– 2b=ab, then b :( 1 a b+1 constans Value | 2

A: Topic:- Algebra

Q: A counterexample can be used to prove a theorem is false. O True O False

A: We have to check

Q: If then is equal to Select one: O 10 O none of them O-5 -10 [²f(u)d O-15 f(u)du = 5 and 5 15 […

A: We have to evaluate the integral.

Q: If A = [1 1] then the dimension of N(A) is O a. 1 O b. 3 OcO O d. 2

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Q: Let x, y E Z. Prove that if 3 ł x and 3 ł y, then 3|(2² – v²).

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Q: 3 Let A =2E -1 0 B = 0 2 If BXT = A, then X= Select one: -3 0 a. 1 -3 O . 1 -3 O d. None of these 1)

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Q: 7- Evaluate:

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Q: Q4 for all nz 1 we went to Shot that 27

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Q: maximum point of y x²-x-12 X+5

A: Maximum point of y is the point on the graph where y has the larger (maximum) coordinate than any…

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: 25. Find 0 16 18 fB rist to our ai jari 20

A: The angle between two sides is calculated by cosine's rule.

Q: и%3D 19, —8] v = [4, –5] 4u + v = | Ex: 5 :

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Q: ) Find A10 and eAt for [1 1 01 A = 0 0 1. Lo 0 1l

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Q: v. Let Ac S, prove that P(Ā) = 1- P(A)

A: Given that

Q: Suppose x, n ∈ N and n not equal to  0. Then, show that xn is positive if and only if x is positive

A: Given that x, n∈N and n≠0. According to question, N=0,1,2,3,4,5........ First suppose xn is positive…

Q: If A is nonsingular then det (adj(A)) = [det(A)]n-¹.

A: