Determine it A= 0 3 2 diagonalizable. is 3о9 If find X such that X-'AX=D is diag onal matrux. yes, (a) No, it is not diagonalizable. 12-1 D= |-1 1 1 0 0 3 |-1 02 (c) x = 110 ), D=| 0 -1 0 2 -1 3 4 00 1 o -3 0 10 3 0 1 1000 (8) x= (e) Nore these. of 2. O

Q: Let u ,v eR* such that F= 2, F]=3 and ūlv. Then (-27 + 35 ) • (v –ū)=

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Q: what are domine, Vange and null space o F Tisra-s Ty Rom R?into Re 1

A: The given functions are                                 T1:ℝ2→ℝ2 such that T1ξ1,ξ2=ξ1,0.T2:ℝ2→ℝ2…

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Q: 6) A function y =e-2x is defined numerically for some data range x. It can be entered using: (а) у -…

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Q: where

A: Given: A = [-2,-10;11,5]

Q: 1) 0.1x + 0.008 = 0.06x – 0.172 2) -0.51x-3.2 = 0.8x + 7.28 3) -0.32x+ 0.18x = 0.25x - 1.95 %3D 4)…

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Q: Draw the Venn diagram with the following information: ANBNC={√2, √-1}, (ANB) NC'={2%, 00}),…

A: Here we eight disjoint parts , putting into them we can construct ven diagram

Q: Determine if [23] is in the span of = (3-69-81-])

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Q: Score: of 11 > Macmillan Learning 59.390 When there are few data, we often fall back on personal…

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Q: Assignment Fors (n) = 2x + 4 (os (*/8), KER An Write a math Lab program (f Corresponding to f

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Q: (a) A = [í 21 B = R s c= D= -2 -5. 4 = G ) B= = L, ) = 5[ -3 -5 (b) A = [; ) B =[ D = 5 -11. -5]

A: Givena)A=2112, B=-30-2-5 , C=-2-402, D=0000.b)A=1114, B=-3-50-11 ,C=19-110 , D=-55-20-25To find All…

Q: Bolve * LOB3X + 3inxt é Ars: 1 = De B o83X -3_8in2 18 3x m , 18

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Q: 5. Let F= [3,2,1] and r= [2,1,–3]. Compute the following: %3D a) Proj „F. b) Orth rF = F – Proj „F.…

A: We know that  ProjrF=r.F∥r∥2r Now, r.F=23+12-31=5 ∥r∥2=r,r        =2,1,-3,2,1,-3        =22+11-3-3…

Q: u= 1 5 -7 " V = 0 -5 -5 og p = 2 2 0 10

A: The equation of the plane passing through a point  and having a normal vector  is given by

Q: What is the range of the following function? 43 -2 7 5 4 3 2 1 & M T -5 a) {yÎR|y¹0} b) {yÎR} 1 2 d)…

A: Sol:- (1) Range of any function is represented by value on the Y-axis Correct option is (b)

Q: Consider x = 3x1 – 2x2, x, = 2x1 – 2x2, with x (0) = 3, x2 (0) = ;. b If x1 ge + e-, find the values…

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Q: Do bisection method for iv) only.

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Q: Prove that if AERnxm then rank(A) = rank(AT)

A: If A ∈ Rnxm then we have to prove that rank(A) = rank(AT)

Q: السؤال 3 If F= (3t^2+4t)i+ (2t-5) j +4t^3 k then Fdt is 42i-j+80k IO 42i + 2j - 80k .II O…

A: Given that F=(3t2+4t)i+(2t-5)j+4t3k so the given integrate can be we write in the form…

Q: Let V = R³ -^-(~--~-~-) = 10 A = (b) B= V1 = c={n= (c) C= 8 2 3 The set mentioned in (a) The set…

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Q: 1 0 -2 0 0 0 1 0 0 0 0 0 0 3 1 0 0 1 0 0 0 0 0 0 0 1. Assume that A~ 0 -4 1

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Q: csc/x+5 xp- 1) Use substitution method to evaluate Vx+5

A: Given:         ∫csc2x+5x+5dx     apply u-substitution     u=x+5→dudx=12x+5       dx=2x+5du…

Q: 5 - 25 + Z² = -1 2x + 34 = 2 -y-27 = 0 (Mabrices), find of 2 Rom Rescaling

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Q: Initial Post Prompt Let S = {(3,-1,2), (4, 2, 1), (-3, 1, 0), (2, 2, 2)} and T= {7-4x, 5x} Include…

A: Use the definitions.

Q: A = (a, b, c, d] X= [1, 2, 3, 4} Select the definition for f that is a well-defined function. O 1) f…

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Q: Which of the following is the inverse of f(x)=√√x²-4? f'(x)=√x²-4 ƒ-¹(x)=x-2 Option 1 Option 2…

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Q: Find the rank and nullity of the 2. 4 9. A z -7 2. -5 4 L7 -9 2 -4 verify the that dimension…

A: The given matrix is  A=20464-7201-5247-92-4 According to dimension theorem for any matrix A of size…

Q: ) find w=4 +iv if the function. in term of 2 is f(z) = (Z-32²) (2z+i)

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