10. Find the trace of the following: ) ) -:] 6 2 3 0 A = D= B = |7 5 %3D -1 5

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Q: d. ( 15 %3D -3 y

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Q: 2. Determine the power set p(A) = {{a, b}, {c}, {d, e, f}} 3. Suppose A = [7, e,0} and B = (0,1}.…

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Q: 5. Find the homogeneous differential equation whose general solution is y = 3 cos x - e³x/2 - 4x sin…

A: Note:-“Since you have posted multiple questions, we will provide the solution only to the first…

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Q: Find all numbers z such that Az3 + Bz² + Cz = D %3D B = [2 4 21 1 1 1. A = 1 3 1. 1 -2 2 4 21 C li 3…

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Q: 5-solve for the unknown d (P,„P.) = /2ī d (P,P,) = 5 1. P,(x,2,3) P,(2,1,1) 2. P,(x ,x,1) P,(0,3,5)

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Q: 2. Find the divections..in.w.hic . fCx,y) = X- a.. Increases.ms..rapidly.at. paint.C1). b. Decrenses…

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Q: (2) for 1t 1-1 + what Valuer of x doesi Corverge

A: Using the convergence of geometric series.

Q: A [(0,6) U (7, 12)]n (2,9; B= A\({1,2, 4} U (3, 5)) and C = BU{11, 8}. Give an explicit and fully…

A: This is a problem of point-set topology.

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Q: GIVEN: xihl i+ 2) 드 hai (-1)" (n + 2) 2"+1(n + 1) 4. Compute the exact value of n=0

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Q: 8. Determine the dot product of u = [7,-4.1] and v = [3.-2.2].

A: Dot product is also known as the scalar product.

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A: Here first identify the number of element of the group and group itself: given that α2=β2=αβ2=1The…

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Q: -1 1 Then, |A|l1= 1 -2 Let A= Select one: a. 4 b. 2 C. 3 d. 1

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Q: 3. 6. 7 #3. Let A = 2 3 What is tr(A), the trace of A? 0. 4 (A)3 (B) 5 (C) 6 (D) 7 (E) 24

A: In linear algebra, the trace (often abbreviated to tr) of a square matrix is defined to be the sum…

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A: Given: The given matrices are A=1-23-231010 and B=1023-25213. First, find the determinant of A and…

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Q: Q2. P(A) = 0.42, P(B|A) = 0.66 and P(B|A’) = 0.25. Find the following – P(A’), P(B’|A), P(B’|A’),…

A: We have given information, P(A)=0.42 PB|A=0.66 P(B|A')=0.25

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Q: n² -1) 2n³ + 1

A: ∑n=1∞ -1nn22n3+1 use the alternating series test an=n22n3+1 an is positive and monotone decreasing…

Q: 9. If 4x(y+2) ソー3 O J6 4x(y+2) – 2x, y # 3 or -2, and x #0,2= ソ-3 y+2 A) B) C) 2 1/8112 28

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Q: (6) L {(1+ te-t)a}.

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Q: 3 I- 0) = [u- w -3 [-1 4] 6.

A: We will solve it in parts Consider 0-1453-101-1 = (0)(5)+(-1)(-1)+(4)(1)    (0)(3)+(-1)(0)+(4)(-1)=…

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Q: 11. Find the value of x. **Show work** (5x)º - (3x+28)º

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Q: ) g)=マーSr -2-Sr g(カー

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Q: Find the distance between m [-2, 3, 2,0,3, – 13, –5] and n = [4, –1,1, –5, 0, 11, –3].

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Q: Compute the following values, showing your work: φ(20), φ(25), φ(54) and φ(8!)

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Q: [1 3 0] If A = 1 2 1, then the Accompanying worker for Lo 1 4] 1. (a2,) | A. -4 В. -12 2. (a32) 3.…

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Q: 6. b = 1+35 + 35, 5 +3 A, 5+3-1= B a. If (25)* = (125) then determine y: x b. Show that, b³-3b-6b-4=…

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Q: Fiven with z1 = (-3,1) and z2 = (1, 4). Show that |21 2| = |21||2|- %3D

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Q: 6. Suppose A = (3, -2, 4), B = (-5, 7, 2) and C = (4, 6, -1), find A × B.A+B-C.

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Q: 13. 15-16) Which of the following expressions is equal to (2 Points) (4y + 1)(16y2 – 4y + 1)? -

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