What is i in element a32?

Q: Show that AB = O, even though A ≠ O and B ≠ O.

A:

Q: In the expansion of (x+y)35

A: We use the Binomial Theorem to find the required coefficient in the given question.

Q: Prove: | a | - | b | <= | a + b |

A:

Q: (c) 2, 3, 4+ V10 and 4. V10 are irreducible elements of R.

A:

Q: Show that if AB = AC and A is nonsingular, thenB = C.

A: Given that  A is invertible matrix. It means inverse of A matrix is possible. A is non-singular…

Q: If ∠A≡∠C in ABCD, then ABCD is cyclic.

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Q: b) Show that XNOT =

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Q: An element x is in A ∪ B if, and only if, _____________________.

A: Known fact: A∪B=x | x∈A or x∈B

Q: Prove that if A2 = A, then I − 2A = (I − 2A)−1.

A: Let A2=A To prove :  I − 2A = (I − 2A)−1

Q: What is the element a32 from A1 1 - 2 - 1 - when A 2 1 1 -1 2 - 3

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Q: In Z[V3], the element 2+v3 is:

A: Unit Given element is a unit

Q: How many elements are in Z5[i]/<1 + i>?

A: Given Data The expression is Z5[i]/<1+i>.   Consider the Z5[i]/<1+i> in the form of…

Q: Verify that v2+ V5 is algebraic over Q.

A: Algebraic number :- An algebraic number is a number that is a root of a non-zero polynomial in one…

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

A: Given,       A=5-14-44-6-321

Q: Find S ∩ T, (S ∩ T)c, Sc ∩ Tc, S ∪ T, (S ∪ T)c, and Sc ∪ Tc (1) S ={x |x2 > 4}, T = {x |x2 < 9}

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Q: The order of the element 3 in Z24 is

A: Given: Z24 Formula Used: The order of an element k in Zn is given by Ok=nhcfk,n

Q: Stefan was able to map AABD onto AABC. D A

A: Given, ∆ABD  and ∆ABC     We have to find whether we can map  ∆ABD  onto ∆ABC

Q: Prove that ABC and EDC are similar

A: In triangle ∆ABC we have given  AB=3, BC=5 and CA=4In triangle ∆EDC we have given  ED=9, DC=15 and…

Q: O, 0) = s not exist

A:

Q: Provide an appropriate response. %3D 5 -3

A: We have to do matrix multiplucation.

Q: 4. Let A C BCR. Prove A° C B°.

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Q: Prove that, if (a%m)=(b%m) then m| (a-b)

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Q: If A =I then what is A'?

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Q: Find the SVD of 3 A = 2 3 -2 [Hint: Work with AT]

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Q: Prove this: A≤B iff AnB=A

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Q: Prove that if r < s < n, then P(n, s) is divisible by P(n.r).

A: Use the formula of permutation

Q: .Compute b, and bo (to 1 decimal).

A: Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have…

Q: fostp Ex=(Xzy)=-3:52-25)

A:

Q: The_____ of A and B consists of all elements in either A or B or both.

A: The_____ of A and B consists of all elements in either A or B or both.   The answer of the above…

Q: Find (a) S¥ (@) (b) Syy (@)

A: Answer: For the given data, We get

Q: A and B cannot c are independent

A: For independent events : P(A n B) = P(A) * P(B)  And P(A u B) = P(A) + P(B) - P(A n B)  For mutually…

Q: Show that: If |z| = 2, then: z* – z2 – 4| Re < 6 z + 6

A: A complex number z=x+iy are graphically represented as (x,y) on coordinate plane. The polar…

Q: If a is transcedental over Q then a^2 is also transcedental over Q

A:

Q: If gcd(a, c) = 1 and gcd(b, c) = 1, prove that gcd(ab, c) = 1.

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Q: Prove that, if m | (a-b) then (a % m) = (b % m)

A: Since you have asked multiple questions we will solve the first question for you. If you want to be…

Q: Prove, using an element-chasing argument, that {15n : n E Z} = {3n : n E Z}N{5n : n E Z}.

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Q: Prove that if A is similar to B and B is similar to C, then A is similar to C.

A:

Q: What is element a32 in 2A-3B if 01 B = |-2 -1 6 4] -4 0. 1 A = -1 31 2 -4 6 9. -1 1 21 8. 15

A: To find the element a32 in 2A-3B .

Q: 2 find the der ivative d.

A: Consider a function is defined as, y=fx·gx The derivative of such a function is determined using…

Q: Give a direct proof of the claim: Vn E N, if the last two digits of n are divisible by 4 then n is…

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Q: Obtain the values of In(/3 – i).

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Q: Show that  1/3 Tn + 2/3Mn ) = S2n.

A: By definition, Tn=12∆xfx0+2fx1+....+2fxn-1+fxnMn=∆xfx1+fx2+.....+fxn-1+fxn…

Q: Find (r In r)9) and ()").

A: Use the following differntiation formulae, to obtain the required derivatives.…

Q: Let A = {a, a, b, c} and B = {a, b, c}. Prove that A = B. Thus, the number of times an element is…

A: Given A={a,a,b,c} and B={a,b,c} we  have to show that A=B, for  this we will show that A⊂B and B⊂A…

Q: Let a * b = 2ab be defined on Z*. 1. Is * Commutative? 2. Is * Associative? 3. What is the identity…

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Q: 2. Expand the following: (i) apxi (ii) 7 (√ga') (iii) A Bi

A: To expand: (i.) aijxj (ii.) ∂∂xigai (iii.) AikBi

Q: Prove that if C is equivalent to B and B is equivalent to A, then C is equivalent to A.

A: The relation 'R' = 'is equivalent to' is transitive. Therefore if x R y and y R z then x R z.