Consider the matrix A = /a11 0 0 a21 a22 0 a31 a32 a33 What is tr(AA')? ] Show that |A| = [1 aii. "Prove" your answer by "showing" the essential steps/arguments. =1 ] Compute A-¹. "Prove" your answer by "showing" the essential steps/arguments.

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Q: series converge

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Q: Consider the following theorem: "An n x n matrix A is nonsingular if and only if det A # 0." Use the…

A: Given matrix is A = 20005000-3

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A: We need to determine the roots and turning point for the quadratic function: Y=-100+50x-5x2.

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Q: 2. Let A be the matrix shown below A = [22] :) Find the matrix P that diagonalizes A.

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Q: Verify that λ, is an eigenvalue of A and that x; is a corresponding eigenvector. 2₁ = 8, X₁ (1, 0,…

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Q: -10 -8 -6 -4 -2 Submit Question 10+ f(r) 14 12 10 8 6 4- 2 -2 -4 -6- -8- -10- -12- -14+ -16+ Find an…

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Q: 5. Use the forward and backward difference approximations of 0(h), and a centered sin(x) difference…

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Q: Find the solution of the given initial value problem: y(4) + 2y″ + y = 9t + 6; y(0) = y′(0) = 0,…

A: The given equation is: y4+2y''+y=9t+6 And the initial conditions are: y0=y'0=0, y''0=y30=1 We have…

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A: Given : An orthogonal basis 1-10211 , 11-20-11 ,20000-2                y=y^ + z             and…

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Q: Given: f(t)= -3 Evaluate F(2). Use 2 decimal places.

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Q: 5. Solve the following initial value problem: (You do not need to find the inverse Fourier…

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Q: Consider the curve C = C₁ UC₂, where C₁ is the line segment from (0, 1, 1) to (1,1,0) and C₂ is the…

A: The given curve is C=C1∪C2, where C1 is the line segment from 0,1,1 to 1,1,0 and C2 is the curve…

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Q: 4. Determine whether the following is true: (a) ~((~p ^q) v (~p ^~q )) (p ^ q ) = p. ^ q) → r. (b) p…

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A: The distance between A and B is 53 miles. The angle of elevation of the satellite at A is 890. The…

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Q: Triangle PQR is right-angled at Q and PQ = 12cm and QR = 28cm. Consider point X on the hypotenuse PR…

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Q: Suppose P, Q and R are statements. Complete the truth table for the statement (P⇒Q) or (P and (not…

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Q: 1. Consider the curve C = C₁ UC₂, where C₁ is the line segment from (0, 1, 1) to (1, 1.0) and C₂ is…

A: As you have asked more than one different question, we shall solve first question only.

Q: 8m The diagram represents a window. (a) (b) 5m NOT TO SCALE Write down the diameter of the…

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Q: ³ [F Evaluate F. dr. F(x, y) = 9xi + 8yj C: r(t) = ti + √4-t²j, -2 ≤ t ≤ 2

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Q: Consider the function f(x) = 6 x4 +62² in the interval I = [1,3]. Let KR be such that K = max |…

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Q: .] Let JE Mnn (C) be the following Jordan Matrix J = J3(-1) J5(-1) J7(-1) J₁ (2) J₂ (2) J₁ (2). a)…

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Q: 2) ∞ και 2- N n=0 α 2-' Σ δ(t - n)dt 1-0 3) | 2-1 Σ δ( - nat n=-

A: A delta function is defined as δ(t-a)=0       for t≠a ∞    for t=a    . The fundamental property of…

Q: a) Let u(x, t) = X(x)T(t) and show that and X" + XX=0, X (0) = 0, X' (L) + yX (L) = 0, T' + Aa²T =…

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