a) Let A = -1 B = 2 2 3 and C = |2 1 1 If possible, 3 -2 11 -1] 11 1 -1. compute (A" – B)" + C(B-'C)-1 and BTA. 223 214

Q: 29. Compute det B, where B = 1 2 2

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Q: Prove that AAB = (AU B) - (An B),

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Q: |=1|+ |= 2 | |- |- | 3. If z3 + z,, show that VI +

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Q: Verify that (AB)T = BTAT.

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Q: O Calculate the d eterminant of [I 30 2 -2 -5 7 4 3521 7-1 2 -3

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

Q: Vhich among thế chôičes satist etters only. 2а. у" - Зу'- 10у %3D0 Co-5x C o2x

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

A: Given,       A=5-14-44-6-321

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

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Q: Prove that in Q(/-5) we have (3,1+ 2v-5)(3, 1 – 2-5) = (3).

A: To show the equality, first we take an element of the product and show that it is in (3) and then we…

Q: 4. Prove that 3i² + i = n(n+ 1)?

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Q: =3. Let a = [2₁1,-1], 5o = [4₁-5, 3] and C-[-1,-2,5]. compute ax (b + c). Show full steps.

A: We have to solve given Questions.

Q: Suppose csc(4) =2 where A terminates in QIV, and sec(B) = -3 where B terminates in QII

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Q: 1/3 If (x+iy) =a+ ib, Prove that

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Q: Evaluate the followi 2. dt 3-5t

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Q: 28. Compute Ak where A = [4.-3] 2 - 3.

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Q: Indicate the method you would use to prove the two A's . If no method applies, enter "none". of

A: Given ,  Here ,  Two angles are equal and one side is equal .

Q: Show that 1/3  Tn +  2/3 Mn  = S 2n

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

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Q: If A= B = verify that A(B + C) = AB+ AC. :) 1 If A = 2 and B show that (AB)" =B'AT 4 -1

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Q: 2. If 0 is in QIII then 180° < 0 < 270° and must be in since

A: 180°&lt;θ&lt;270°

Q: (16) Show that AB=BA for 0 0 0 3 0 0 0 1 A = and B = 0 3 1 2

A: A=-100030001 and B=500030002

Q: 27) Calculate AC, BC and (A + B)C. Also, verify that (A + B)C = AC + BC 0 6 71 ΓΟ 1 1] 2 If A = -6 0…

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Q: Suppose an = 5an-1+4an-2 – 3an-3 and a4 = 22, аs — 127, and ag = 717. Find a1, a2, and аз. ai = a2 =…

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Q: 1. If x=27-3k and y = 7+57-4k, express each of the following in terms of i, j, k a) 5x-2y

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Q: 5. (BH) Calculate det B, where 0. 4 1 1 В — 1 -2 4 -1 2 1 -1 0 7

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Q: Show that 3n2+8nlogn is big-Oh (n²)

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 5] compute: 7A -5B where: 2+3i itqi -si A = 3+7i -4 ?b-8 7 3ti 2+si ?5-8 5-2i -4-3i 8ミ チ+

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Q: If A, B are 3 x 3 matric det(AB ') = 12 and a Then det(3A". (B)¯1)

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Q: Compute A B, where A AB= 0 -2 2 -2 0 2 -4 7 8 -5 -1 2 and B = 8 -2 1 -5 -1 3

A: This question can be solved using the concept of multiplication of matrices.

Q: Consider z1 = 1 - j2 and z2 = -2 + j3. Determine Im (21)?

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Q: 1. Lat A - [; : - and B = 2 2 1 3 4 (a) Compute AB. (b) Compute BA.

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Q: 21 41 Verify the following directly if A = 1. B = |; .c = [, а. A(ВC) %3D (АB)C b. А(B+C) %3 AB + AC…

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Q: Use the following problem: Given that Z1= Z4, prove that 22 = 23. 3 Write your proof (in any…

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Q: Show that ag = vp¤(ax+1 + 1) %3D

A: Given  ax=vpxax+1+1

Q: Prove that AxCBx)=A.2)B CA. B)T wheve. Aca,itazj+ask Babiitbijab3k

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Q: 1) Let c. 1z_c)=4 and I = -82²_3 dZ. c 근림1 then Is 2IT 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: 12) a-:]- B-[:: ind AR 3 0 3 -2 1 Find AB. %3D -2 1 0 4-3

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Q: 5|8" – 3", Vn EN

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Q: Show that, by det by b2 92 •92 =TT (ai-bi) br b2 b3 an

A: We have to show that det111⋯1b1a1a1⋯a1b1b2a2a2⋮⋮⋮⋮b1b2b3⋯an=∏i=1nai−bi Let us consider the matrix…

Q: . Let, a, = 1, az = 2, b; = 0, b2 = 1, for n2 3, a, = 2an-1 + bn-1 for n22 b, = br-1+ an-1 express…

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Q: 5 - compute – 5A 3 Given A 3

A: we have to calculate -5A

Q: 3) Calculate: AВ-ВА , АС-СА , ВС-СВ Where 1 1 0 1 A 1 1 B -1 1 0 0 V2 Vzi 1 0. 0 -1 0. -1

A: I have found each product term one by one

Q: Under what conditions on A and B is (AB)-1 = A-1B-1? Prove your assertion

A: Assertion: If A and B are commutative, then  AB-1= A-1B-1.

Q: I find B such that AB = C. If 5 0 3 A = 2 01 9. C = 3 5 c- (* :)

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Q: 4. Show that: do Tb/(a? – b²) - a+bcos0 а b2 Where a>b>0 such that * -1+ 1. < 1 - a²

A: To Show: ∫0πdθa+bcosθ=πba2-b2 Concept: i. 1+tan2x=sec2xii. cos x=1-tan2x21+tan2x2iii.…

Q: 2. Determine the products C = AB and D = BA if %3D %3D 4 61 -7 A = 1 -5 -1 3 -5 2 %3D -9 --13 -4 7 6…

A: The given matrices are A=46−7−51−9−3114×2 and B=−13−52−13−4762×4.

Q: dt 7) /2-t

A: 7).∫-∞-2dt/2-t                         = ∫-∞-2(2-t)-1/2dt

Q: (16) Show that AB=BA for 1 5 0 0 A = 0 3 0 0 0 and B = 3 1 2

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