Use either elementary row or column operations, or cofactor expansion, to find the determinant by hand. Then use a software program or a graphing utility to verify your answer. 21 0 1 10-1-1 40 1 4 -1 0 71 1

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Q: 1) Find the power series of about 4i (z-4i)" a) En=0(3-41)+1 (z-4i)" b) ₁-0 (3-41) c) Σ (z-4i) Σn=0…

A: 1) option a is correct answer

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Q: EXAMPLE 2: Find the lower and upper triangular matrix of 9 -3 31 B -3 4 1 1 61 3 using Cholesky…

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Q: Theorem 12. Let R is a commutative ring and r e R,fe Hom (M, M'), then rfe. R M, M') defined by (rf)…

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Q: b) The function y(x) satisfies the inhomogeneous second order linear differential equation d²y dy…

A: Variation parameter method

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Q: Show that the map t: V₂(R) → V3(R) defined by t(a, b) = (a + b, a - b, b) is a linear…

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Q: 5. D = 2000 2 1 -5 Evaluate D.

A: 2  0  0   0-5  3  0   0   3  2  4   0   4  2  1-5  =  (2)(-1)1+1 3  0   02  4   02  1-5…

Q: Finding the Determinants Using Combined Methods (row operations and cofactor method) -2 -4 A = 1 4 8…

A:

Q: Let A, B₁, B, be sets. Using induction on 2, prove the following statements: (a) AU (B₁n B₂n CHICA…

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Q: Consider the vector-valued function R(t) = 1. Find the domain of R. (₁ In(3-1), 4t-8,31²-8), (0,…

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Q: Consider the polar curves C1 : r =  4 + (3√2)/(2) cos θ and C2 : r = 2 − (√2)/(2)  cos θ as shown in…

A: There are two points of intersection.

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Q: : R³ → R², find its dual map, where (i) 1(x, y, z)=(x-y, y+z), (ii) t(x, y, z) = (x + y + 2z, 2x+y),…

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Q: Let C be the parametric curve defined by [x(t)=t²-t-6, [y(t) = 4t³+31²-6t. Determine the point/s…

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Q: 2. SOLVING HLDECC USING AUXILIARY EQUATION ²+k²x = 0, k is real number; when t = 0, x = 0,= vo. dt…

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Q: A. SOLUTION OF NON-HOMOGENEOUS SYSTEM GIVEN: 7 -34 0 0 -7] A = 2 1 -1 146 010-3 0-3 -5 1.2 TRANSFORM…

A: Let us determine the Lower Triangular matrix using Gaussian Elimination method in the next step.

Q: 3. Let 7 and w be vectors such that 7= (2,2, -1), ||w|| = √2, 7-3, and x = (2,-1, 2). a. If u =…

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Q: . Show that the vectors V1=(0, 3, 1, -1); V2=(6, 0, 5, 1); V3=(4, -7, 1, 3) form a linearly…

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Q: f(x) = 3 - 2x and g(x) = ln (x - 1) then (image attached) = 1. -2 2. None of these 3. 3 4. 1

A: Composite rule is used