Consider the following. A =    18 −80   4 −18,   P =    −4 −5   −1 −1 (a) Verify that A is diagonalizable by computing  P−1AP. P−1AP =                             (b) Use the result of part (a) and the theorem below to find the eigenvalues of A. Similar Matrices Have the Same Eigenvalues If A and B are similar n × n matrices, then they have the same eigenvalues. (?1, ?2) =

Q: B. Find the value of x and y given that; 1 - 2y 3 4. 7 (b) 2 y 2 - 2x 4 -5

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Q: Activity 2. Using U- Substitution or Integration by Parts, evaluate the Indefinite Integral of the…

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Q: Rule 1: Multiply by 2 then add 1 starting from 1. Rule 2: Divide by 2 then add 4 starting from 40.…

A: To find the ordered pair of sequence 1 and sequence 2 given in rule 1 and rule 2 respectively .

Q: H.W: Estimate the root of the equation for the following equation using Secant Method: 1. x3-5x = 3…

A: We can have this using secant method

Q: 1 11 1 5 5 3 3 35 5 4 4 4 4 Layout A 4 4 4 4 2.

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Q: 2.53 Let B[a, b] denote the set of all bounded functions on [a, b). Is Bla, b] a vector space? Prove…

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Q: what is the Matchings and covers ? And give Examples .

A: Let G be a graph. Here , V  is the vertex set of graph G. Also , E be the edge set of graph G. We…

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Q: Determine the 1st and 2nd degree Taylor polynomials L(x, y) and Q(, y) for f(x, y) cos(ry) for (x,…

A: Given function is fx,y=e−x2−y2cosxy. We have to find the first and second degree Taylor polynomial…

Q: Convert the Partial Diff equation to canonical form and find the general solution a²u a?u a?u +2…

A: Sol

Q: Find minimized SOP expression using K-Map with the given function: f (A,B,C,D) = TM (0,2,5,7,15) D…

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Q: nd ,I:J ar

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Q: solve for the laplace transform of f(t) =D {2,t < 플 {-을, 플 <t<ㅠ 6. -e + He i a. 2s 48 2/4 b.

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Q: 2.52 Prove that Ca, b] is a vector space.

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Q: 1. Find power series representations for the following functions. State the radius of convergence.…

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Q: Prove that if a and b are both positive, and a2 < b2 then a < b          (Use Indirect Proof)

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Q: Using Solution Subject Double integral by polar form

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Q: I. Given the matrices below, compute for the matrix operations asked from No. 1 to 5. A = 20 B =| 4…

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Q: consistent 9. Consider the m-by-n linear system [A | b], where RREF[A | b] has exactly r pivots.…

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Q: Solve the problem P.D.E. u, = u,xx 0<x<1 0<t< 00 fu(0, t) = 0 lu(1,t) = cost u(x,0) = x B.C.s 0<t<00…

A: Sol

Q: Give the parametric and symmetric equations of the line that passes through the point (4, -3,5) and…

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Q: Suppone that fand q ane diffentiable fonctious on IR veh that, Cx+1)f')+ 3x$cx) xe+7x on IR. If f is…

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Q: Is the conventional kinetic Bohm criterion, given by -> 1 1 -1 1 d. d. -f; dv < dv. dv - M; Vz me Vz…

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Q: View S' as the boundary of the 2-disk D² = {(x, y) E R² | x² + y? < 1}. Fix To E S', and let X = (S'…

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Q: choose the appropriate answer

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Q: consistent 9. Consider the m-by-n linear system [A | b], where RREF[A | b] has exactly r pivots.…

A: Given that, A consistent linear system [A | b] is m-by-n. RREF[A | b] has exactly r pivots.

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Q: 2 and s 5 be given vectors in Rº. Which of the following vectors is Letn 2 a linear combinalion of ,…

A: Given vectors:v1=1-320, v2=025-4 and v3=12-21 be given vectors in ℝ4.We have to check which of the…

Q: 10 Cos 30 + j sin 30 9 Ccjs 1000)

A: Given expression iscos2θ+jsin2θ5cos6θ+jsin6θ10cos3θ+jsin3θ9cjs100θ

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Q: a. It is known that the tensile strength of a plastic increases as a function of the time it is heat…

A: We can solve this using formula of fit straight line, standard deviation, standard error ,…

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Q: what is the spanning fuzzy subgraph ? And give examples

A: Given : Spanning of fuzzy graph is mentioned in given example. We need to tell that what if fuzzy…

Q: Q1 A coin throw three times find: 1. Sample space 2. Probability at least head appear twice 3.Never…

A: Solution

Q: SQT = m ZTQR, ST = 4,TR = 5, QS = 12. Find PQ.

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Q: Determine the general equation of the plane passing through the point P(1, -4, -5) and parallel to…

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Q: Let A be an m x n matrix. Show that: ( a ) Ifxε Ν (Α'Α), then AxE R(Α) Ω Ν (A"). (b) N (AT A) =…

A: Sol

Q: 2.59 Find || f |sup if a) f(x) = x on (-1, ). So if x E Q, b) f(x) = – x² .2 if x ¢ Q. -

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Q: Given A E Mmxn(F). Prove that (LA)* = LAt.

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Q: ecot(1127 a.26.053 + 22.7038j b. 1.0044 c. 0.1345 0.9526j d. 0.9740 1.252j

A: We find the value of ecot(11&lt;7π)

Q: (In3+j5)5 sech(5.5430°) TT tanh ja V[ej – j213 ji]4 ¡213

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Q: Generalized Mean-Value Theorem: Let f and g be two functions, each having a derivative (finite or…

A: This is a problem of Cauchy MVT.

Q: 16) Rewrite the integral 10 3(1 – z/10) 7(1- y/3 – z/10) dx dy dz in the order dz dy dx.

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Q: Q.3: Determine the Lagrange interpolating polynomial by using second order form for the given data…

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Q: Let P denote the set of all functions f on [0, 1] such that there exists at least one point x E [0,…

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Q: |x+1| if x + -1 13. Consider the function f(x) = {x² - 1 Evaluate lim f(x). if x = -1 A) - C) DNE B)…

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Q: b) (1eoy2+64tse*) do + (Gx?y+2x)dy=o c) 24 dx + (6x³ - xy+x) dy=0

A: We can solve this using substitution and exact equation

Q: Ive Partial Differential Equation (( ди ди = a?u_ifx=0, = a sin y and ду ax

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Q: 14 by 14 grid are there which do not cross the railroad tracks, but which visit the diagonal after 6…

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