Let c= and D= [7 -1 -2]. 1 - 6 Find CD if it is defined. Other.se, tap on "Undefined". CD = [00)

Q: Given: Z1 = 22 АВ ВЕ Prove: АС CD A

A: Definition used -            Vertically opposite angles are equal in measure.             AA…

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

A: Given, Triangle DEF is congurent to Triangle RST

Q: 4. Complete the following proof in the format of your choice. D. 3. Given: AB DC and AB || DC Prove:…

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Q: Let A be 4x4 and det(A)=3. Then det(24)=. and det (A" A)=.

A: Given A be a 4×4 matrix and detA=3

Q: 5n² is O(n³)

A: Suppose fn and gn are positive functions. We say that fn∈Ogn if there exist positive constants c, n0…

Q: * If Iz| = Re(z), then z is

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Q: For each n e N, let A, = (}, } + ) %3D Find Unen An. Find Nnen An.

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Q: Compute the following. |25х11+28х3 - 3х*-13х +4 dx

A: We need to evaluate the following integral  ∫25x11+28x3-3x4-13x+4dx Formula used : ∫xndx =…

Q: Show that D13 is isomorphic to Inn(D13).

A: Given the Dihedral group D13. We have to check this group is isomorphic to Inn(D13).

Q: Show that the series 3. + + 4 To t (-1) Lonverges absolutely.

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Q: Let A-(2,3 and B Qn 4,5]. Which of the following is True 1. B contains a finite number of elements.…

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Q: Let 2E An and BE Sn show that Hhen Baß'E An.

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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: Suppose, X-Binom(m.0) and 8- Beta (a, B), then E(X) is equals to, b) d) maß aß ma α+ B me Answer B €…

A: Given: X|θ~Binom(m, θ) And θ~Beta(α, β) Formula Used: X~B(n, p) E(X) = np To Find: E(X) = ?

Q: 1. Let S = {z € C| 26 = 1}. (a) For each element w in S, find def. {w°, w*, w?, w³, . ..} and then…

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Q: Show that if β^1 is conditionally unbiased, then it is unbiased; that is, showthat if E(β^1|X1, . .…

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Q: 3. Is this sentence consistent? “There is someone who loves exactly those people who do not love…

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Q: spectra of TT* and T*T are real and cannot

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Q: The characteristic of Z[x] is None of the choices Оз O 5 O 6

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Q: 4. Complete the following proof in the format of your choice. D 3. Given: AB a DC and AB || DC…

A: Given figure, Given : AB¯ ≅ DC¯  and  AB¯ ∥ DC¯ we have to prove ∆CAB≅∆ACD

Q: 1 -dr. a In r| Find 3.

A: Let's find.

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

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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: Show that if AB = I, then det(A) 0 and det(B) # 0.

A: Here given as AB=In find determinant both sides detAB=detIndetAB=1

Q: (b) Use the value of det(A) to evaluate 1 2 3 3 -2 3 3 1 1 1 2 -2 -3 -1 4. 1 3 -2 4) 2. 2. 021

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Q: Let m eN and a, b e Z be such that (a, m) = 1 and (b, m) Let h = 0m(a), k = 0m(b), and let n = 0m…

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Q: -AC || CD . AE || CB C. none of these D. AD || CB set Selection Co search

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Q: Given: mAB = x Prove: mz1 180° A B

A: Now let O be the center of the circle. Join A and B with the center, we get

Q: a n eln t--+

A: Given a function : h(x)=31-2x+2 We need to find the graph of this function.

Q: 3 18) Let 2. 5°. 11 13 b=2'.3.5.7 a = and Find the ged (a, b) and the Icm Ca, b).

A: Here given that                         a=25·52·113·13           and        b=24·32·5·74 We have to…

Q: 11. Suppose A\BC C. Prove that if x E A\C then x E B.

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Q: Prove by Contradiction that if    a 0, which implies  a< = b

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Q: 8. Prove the following (I +CD)-\C = C(I+ DC)-1 by expressing the C + CDO in two forms. i

A: To prove the below equation by expressing C+CDC in two forms. 1+CD−1C=C1+DC−1

Q: 6.4 # 2 Find the matia * ' elative to the basir B' for T A' =

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Q: Let a e Z. Prove that if 7 | 2a, then 7 | a.

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Q: If A is a 2 x 2 with det(A) = 3, then det(4A1) = %3D

A: det(A-1)=1det(A) det(4A-1)=4ndet(A-1) where n is the order of the matrix.

Q: If Ea, is divergent and 2b, is divergent, then E(a, + ba) is divergent.

A: Taking an example and than we are trying to understand tha statement.

Q: Given: mAB = x Prove: mz1 = 180° - x A D Exercises 25, 26

A: Given:           m AB⏜ = x   To prove:              m&lt;1 = 1800 - x

Q: Let Г3 -5 -1 A 2 3 3 2 В -3 -3 If possible, compute the following. If an answer does not exist,…

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Q: A= Find a portia lar soltPon of the syatem with

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Q: Please solve this Abstract algebra question.

A: Consider the provided question, (a) Given a = 6, b = 2 So, a + b = 6 + 2 = 8

Q: ke an example at a Noe therian m adu le is not Artini an.( Prove)

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Q: Let A, B and C belong to M(3,R) such that: det(A) = 10, det(B)= 10/5 and det(C) = 3, then…

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Q: 4.2. Let a, b € Z, where a + 0 and b + 0. Prove that if alb and bla, then a = b or a = -b.

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Q: -6 Let A eponvalve, k mut For A to hove an 7. be 2.

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Q: 1 Let C= -7 and D=-1 4 0. and D = [-1 4 0]. -7 Find CD if it is defined. Otherwise, click on "Undefi…

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Q: 1. Let S = {z E C| 26 = 1}. (a) For each element w in S, find def. {w°, w*, w², w³, . } and then |…

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Q: If det A= 0 why is det A+ = O? If A has rank r, why does A+ have rank r?

A: Given Data det A=0   Suppose the column and row of the matrix are linearly independent. The matrix…

Q: Which of the following is correct? 1 1+32-1 3. A. X(z) of 3mu(m) = B. X(z) of 3mu(m) = C. X(z) of…

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Q: Hw/O Find Adi A if A. O kind Adj A il A=

A: (1). The given matrix is:  A=521  314  463

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.