-10 -4 3 6 Qs: A- Given A = L -4 and B = -8. 2 -14 -28 Prove that: - AB+BA = -7 14

Q: 13 13 Given that 4c; = -96, find 2 (2c; – 2) j=1 j=1

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Q: 1 - 1 2 T-1 1 0. and B= 5 Find x such that Let A = -7 1 3 - 2 - 2 - 2 14 - 57 AB = 27 - 32 3 %3D - 5…

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Q: verify the given equation. 16.∞∑n=0an(x−1)n+1=∞∑n=1an−1(x−1)n

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Q: H Find all parn/ es) 2. 8- 3x2. 2y - hare tu fungent plum. ar thagan te Lene. * 2-31 y- 7181, 2 5-1

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Q: If iz'+z?-z+i=0, then show that z=1. 3

A: Given z3 + z2 -z + i =0 We have to show that z = 1 iz3 + z2 -z + i =0iz(z2+i) + (z2 + i) = 0(z2 + i)…

Q: if I have( Tj/1)^2 = (5.19Re/Re)^3why does it end up being Tj=(5.19)^3/2haven't taken algebra in…

A: The original equation given to us is shown below:

Q: 5. If UW = 6x- 35, find UW. 6. If HJ = 7x – 27, find the value of x. 19 4x - 20 3х-5 X-1 V. W H.

A: Sol (1)VW=6x-35U      19             4x-20                            V                     Wso,…

Q: Given that (z-N(z-n=6z-221, where z=x+yi and z is the conjugate of z. Solve for x and y 28 and y=3…

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Q: -1 -2 -3 -41 1 2 3 Let A = 1 2.) Find adj (A)

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Q: Given: 4x = 24 Prove x = 6 Statement Reason 1) 4x = 24 1) Given 2) 4x = 24 4 4 2). 3) 3) Q.E.D.

A: Which is of the property complete the proof.   Given 4x=24 Prove x=6

Q: -) Which of the following equations is true? 28 + 7 = 4(7 + 7) 36 + 6 = 6(6 + 1). 13+36 = 13(1 + 3)…

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Q: 9(r, t, г) — 5r(7 — сos(t)) — 82

A: We have to do partial differential here.

Q: Solve Vx-2-630 and write out the check. Check X-2-6=0 x-2=6 2. ニメ=36t2 X=38 X-2ま3=し 1X= 38 メ-2)ぎ=し…

A: To check the result ,substitute x=38 in the given equation.

Q: 10. Find x and y, given that (x² + y²,4) = (25, x).

A: When the Cartesian product is performed between two sets, as a result, an ordered pair is obtained.…

Q: If A = B = [2 51 L6 [3 В 15 then show that -41 [4] (i) (AB)-1 = B-'A-1 (ii) (AB)T = B" AT (ii) (ЗА —…

A: GivenA=2      56      8,B=3     -25     -4aTo showAB−1=B−1A−1Left hand side AB−1AB=2      56      83…

Q: Determine whether the following is true: (a) (b) n+1 Σ₁2²= n · 2n+² + 2, i=1 n i-0 3¹ 1- 3n+1 13…

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Q: Q1) If B = B-1 then B = I or B = -I. Prove or give counter example. %3D

A: A detailed solution is given below.

Q: Which of the following are the solutions of cotx+ 2 = 2 cscx on the interval [0, 2n)? 2 0, я * 37 2'…

A: Question is solved.

Q: 3. If x + 1 = 3√/2 x a. Find the value of x² - 12. x2 b. Show that, x³(1+¹)=717√/2 c. Show that, +1…

A: Given: If x+1x=32. a) Find the value of x2-1x2 b) Show that x51+1x10=7172 c) Show that…

Q: (A) la,12Σ}-1. 2.." (B)la,l2Σai-1.2." and la,l>Σ에} for any i-1,2,.." J-1

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Q: Solve for u. 2u-11u+31 (4-7)- If there is more than one solution, separate themn with commas. U =…

A: This problem is related to quadratic equations and we solve this using root formula.

Q: 2. m =-2, -2, 5, 5,5

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Q: Let A={mez: m = 2a for some aeZ}, B= {mez: m = 2a for some aeZ}. Show that A=B. (need to show A≤B…

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Q: 2. If A = 2i + 2j-k and B 3i-6j + 2k, find (i) AB and (ii) AX B.

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Q: Given : A =T1-a %3D and 8 = 2 47 3 what is the product 4 the entries on AtB Giuen A = ard B = 3.…

A: The matrix addition can be performed by adding the respective elements of the matrix. The matrix…

Q: B. Solve for the value ofx. 6-7. Determine the possible values of x of ADOG if DO = x + 5, 0G = 2x +…

A: As per our guidelines we are supposed to solve only one question i.e. the first question. For the…

Q: cor-126 dp. Evaluate: A) B cot-128+ –In 1+462 + C 8. B B cot-12B –-In 1+462| + C 4 C B cot-12B-–In…

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Q: Q4: Answer two only: 4 2 2 -2 Find AB and AC. A): If A = 01 0; 1 -1 1. 2 B = 2 -1 3 -2 2 4-1711 -2…

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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: In what case of k such that there is only one solution? 2x + ky = 10 kx + 2y = -10

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Q: 5 Given: 1 = 2 AB = CB Show: AADB = ACDB 2

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Q: of the equation x + 4x = 10 in [1,2] 10 4) By using the iterative formula x1 and x, = 1.5 , then the…

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Q: z(k, l) = 4*µk+l. %3D essions of this form allows the conclusion z(k, l) = 4* f(k + l),

A: Given that, zk+l=4kμk+l                   (1)

Q: 4) Which of the following is all of the solutions of y4 - y² - 6 = 0 ? a) ±2, ±√3 b) ±2, ±3 c) ±√3,…

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Q: [12 31 1 2 and B = ] 1) If JA| = |B1, find the value of k where A =0 %3D 13 [2 1

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Q: Find the general solutions to the following differen (3.1) Un+1=un +7 (3.2) un+1=u-8, u = 2 (3.3)…

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Q: How many distinct solutions does the following equation have? I1+I2+I3 +24= 100, such that %3D I E…

A: To find the distinct solution of x1+x2+x3+x4=100 Since, x1∈{1,2,3..},x2∈{2,3,4,…},x3,x4∈{0,1,2,3,…}…

Q: 4. If OR = 6x + 1, PR = 14x – 13, and PQ = 5x - 2, find PR. DOC 200 & 7. 8. 9. CO

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Q: and C = -3 2. 131 Let. A = -4 and yet B C Venify that AB AC

A: Given,

Q: given : A= -2 2 4 3 2 2. 3 2 2 B= -3 2 2. 4 2. 4 F= . -2 3 4 -2 3 2 4 L4 2. Find the resultrig…

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Q: Let A = (; ;) -4 3 Find A- and use it to solve AX = B where n- (:) -(:) X = x2 where x1 = and x2 =

A: Solve the system of linear equations

Q: Q4: 1- Prove that (1– i)? + (1+ i)² = 0 . %3D 2- Put in the form a + ib ((1+ i)²)² - ((1- i)²)².

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Q: Suppose z = -18 + 14i and w 16 + -13i. Then Re (z + w) =? %3D

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Q: Σ 2n+1 3h 1 19 n=1 bh 4n+1 4

A: We proceed on to simplify the given series as  ∑n=1∞2n+1bn+3n4n+1=1942∑i=1∞2bn+14∑i=1∞34n=194

Q: Given that: 5 ΣΧ-60 | =1 EY, = 70 |=1 Σχ?-760 | =1 ΣΥ?-1032 i=1 5 ΣΧy ,- 800 j =1 n=5 Then the…

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Q: 1 2 1 -Given that B= 1 -1 0 3 1 1 Show that B,-B,- 6B = 1. Hence, deduce that B' = B² -- B – 61.

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Q: B. Give the general solution to the HLDE with the given set of auxiliary roots. 2. m =-2, -2, 5, 5,…

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Q: [2 Q2) Assume A = |1 3 11 show that (AB)' = B' A' 6. 4 and B = 13 4. 213

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