Q1 Let A be the 2 x 2 matrix a11 a21 a12 a22 where a11, a12, a21, a22 € R. Show that if a12@21 > 0, then A has two distinct real eigenvalues.

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A: We have to find how many 4-digit numbers are there in the set of natural numbers As we know that,…

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A: Consider the provided question, x' =-11012103-1xFor a system of differential equations x'=Ax, assume…

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Q: 4) Find the inverse of the Matrix: 4 8 A ^ - (-_-^ __$) -3 -5

A: Given A=48-3-5   Inverse of the matrix A is, A-1=Adj AA Here the Cofactor matrix=-53-84Adj…

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Q: Find the volume generated when y=x^2+1 and y=9-x^2 are revolved about the y-axis.

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Q: - the maximum value of 2100 + 3250 – 1| in the disk |z| ≤ 1.

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Q: 2- Compute the rotation matrix given by product ReRyR₂Rx.-Rx-0

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A: We have to solve the given initial value problem by Laplace transform.

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Q: $$ 4323 10 • 8 7 1 44 2 3 + -10 2 (larger x-value) 3 solution set is bounded. is ---Select--- . 6…

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Q: Which graph shows the function f(x) = 3 sec (2x) +1? RIN 14 12 10 8 00 6 4 2 -4 -6 -8 -10 -12 2 B 2…

A: Given f(x) =3sec(2x)+1 We have to choose the graph of this f ,from given option below.

Q: Consider the vector space R of sequences with an infinite tail of zeroes. In other words, given a…

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Q: 8. Consider the BVP y" = 2y'-y + xe* + 3, y (0) = 3, 0≤x≤ 2, y(2) = -4. We apply the linear shooting…

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Q: Consider the demand (D) and supply (S) functions D = 14 P and S = P² +3P + 2. (P is the unit price…

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Q: Assume the cards are drawn sequentially and without replacement. (Hint: See Example 9, Section 10.1)…

A: In a standard deck of cards there are total 52 cards of which 13 are clubs

Q: No Solution Help x20 y20 3x + 5y ≤ 30 3x + 2ys 15 -10 -> - 4 4 a 10 • a 1 6 4 a 14 2 4 4 12 4 • . st…

A: Given inequalities are x ≥ 0y ≥ 03x + 5y ≤ 303x + 2y ≤ 15

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Q: Consider the double integral shown below. .5-x Co x²-1 2 0 f(x, y)dy dx (a) Sketch the region of…

A: Region of Integration:

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Q: 2 Given A= (³²) and B= Find AB-BA Answer should be: (1410 -3 10 -16 "").

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Q: and S= T-{]-[A]-[8]} explain why span(S) = span(T). 7. Let = 5 2 0 {······} (Hint: see Example 9 pg.…

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Q: 2. List an irreducible polynomial of degree 3 over Z3. 3. List all irreducible polynomials of degree…

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Q: Question 10 of 10 You may use your calculator for this question. Find a definite integral for which…

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Q: Problem Set A 1. Expand the following expressions: a. TC(q)-2TR(q) - FC(q) b. 5q-(3-2q)³ c. 1-In…

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Q: 3) Set up, but do not solve, a system of equations for the following application: How many liters of…

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Q: 1. Let A = 3 ε = 1 and consider the bases 1 0 {69-663-69} -{[]+9+*+]} {B 0 of the vector space M2x2…

A: According to guidelines we can do only first three sub parts thank you .. With the help of linear…

Q: srealize.com/assignments/viewer/classes/830 ment 합 Triangles ABC and JKL are similar. Which…

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Q: Find two power series solutions of the given differential equation about the ordinary point x = 0.…

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Q: Let cn = 4Cn-1-4-2 with co = -3 and c₁ = 4. Prove that ê= -3(2)" +5n(2)" solves the recurrence for…

A: The given recurrence relation is, cn=4cn-1-4cn-2. Condition is c0=-3 and c1=4. We have to prove…

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A: Introduction: Any system of linear equations can be expressed in the matrix equation form. And then…

Q: Exercise 7.1.101: Is the power series (0.1)"x" convergent? If so, what is the radius of convergence?…

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Q: Repeat the previous question invoices to the vector field f (x, y) = -5yi + 5xj tire range R = {(x,…

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