Suppose S={1+ 3z , 1-4x*}. wh.ch of the pollynomiais given Could be added to the set S to form basis for P? a (1 2+3x -4x? 24+ 3x -13x 39+127-20x * there COn be more than 1 right ansven.

Q: Independent random samples were selected from two quantitative populations, with sample sizes,…

A: From the given information we conduct the hypothesis test.

Q: 4. Find the product AB, where a) A= 0 -1 -1 --1.B= -3 2 - 2 -1 03 -1 -3 -2 0 b) A=1 0 -1 B = 2 4 -1…

A: AB=1010-1-1-11001-11-10-101     =-11001-11-11 (b)AB=1-3012221-11-123-103-1-3-202…

Q: assume that A={6,8,4,g} and B={3,2,8,d,h,g}. (a) n(A×B)= (b) n(B×B×B)=

A: a) Given that A={6,8,4,g} and B={3,2,8,d,h,g}So, A has 4 distinct elements and B has 6 distinct…

Q: Suppose that A = and B = for some real numbers x and y. Find y 1 9 y all ordered pairs (r, y) such…

A: Given: A=x0y1B=xx9yAB=BA

Q: R the generated of z

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Q: Let a=⟨3,−5,5⟩ and b=⟨−1,5,2⟩ Find the component of b onto a

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Q: 2. Show that the following is a basis for M, 2x2 [3 6 3 1 0 -1 2 -8 12

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Q: Let p = 5x + 10x + 3. Find the coordinate vector of p relative to the following basis for P2, P1 =…

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Q: Let X={a,b,c,d), f = ((a,b),(b,a),(c,c),(d,d)}CX×X, and g= ((a,d),(b,a),(c,b),(d,c)}CX×X. Find gof.…

A: Use the definition of composition of functions to solve this problem as in next step.

Q: In (Z24, €) find the orders of the elements 3, 4, 6, 7, and 18.

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any…

Q: 2 and an+1 Зап + 2. Find an explicit Suppose that a1, a2, a3, . .. is defined by a1 formula for a,…

A: Suppose that a1,a2,a3,...,...is defined by a1=2 and an+1=3an+2.find the explicit formula for an in…

Q: Find bases for the null space and row space of A. 5. 8. -7 -4 -1 -8 1 3. 3 A = -1 0. -1 1 -2 4 7. 10…

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Q: Let S1= {1, 5, 10, 15, 20} and let S2 = {1, 2, 3, 4, 5}. What is: (a) S1 ∪ S2 (b) S1 ∩ S2 (c) S1 –…

A: Given: The given sets are S1=1, 5, 10, 15, 20 and S2=1, 2, 3, 4, 5. To find: The main aim is to find…

Q: Consider the set S = {2x² + 1, 2x – 4, 2x + x}. The set S spans P2. If t(a) — 6а? + 6х — 15 € Ра,…

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Q: 1. Suppose A is an 8 by 11 matrix with rank 5. (a) Give the dimensions of the 4 basic subspaces we…

A: Given  that A is an 8 by 11 matrix with rank 5. That means the number of rows of the matrix A is 8…

Q: Let 7 -7 2 -2 -5 %3D - 3 -2 9. -8 a) Find the dimension of the row space ofA. b) Find the dimension…

A: The given matrix,A=117-72-2-565-3-25409-8

Q: Let V4 = 4 V2 = V3 = -2 Pi -2 P2 2 2 and S = {v1, v2, V3, V4}. Determine whether pl and p2 are in…

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Q: Consider the subset of P3 Q = {−6x² + 4x − 6, −24x² + sx + 6, 2sx + s} Find the two values of s for…

A: In this question, we will find the values of 's' for which a given set is linearly dependent.

Q: TikTok users spend an average of 55 minutes per day using the app. A researcher believes the time…

A: From the provided information, Sample size (n) = 61 Level of significance (α) = 0.05 The test is…

Q: -16] --14] Let ai -20|, a2 = -16 and az = –18 -4 -4 -4 The set {a1, a2, az} will span R' unless h =

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Q: Find the string that has this generating function: a) (1− x)−3 b) (1+2x)−4 c) 1/(1 −3x)3

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Q: Find, if possible, A + B, A- B, 2A, 2A- B, and B + A = 5-6 2 3 -4 1 (a) A + B 183 11 (b) A - B 188…

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Q: 2. Factor. a) x² 18x + 81 b) x² - 2x - 15 c) x² + 2x - 24 d) x² + 6x-40 e) x²+x-30 f) x² + 3x-35 g)…

A: Please follow the next step.

Q: Let A = {j, z}, B = {1,5,7}. Each element is expressed as an ordered pair. ВХА3{ }

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Q: Let ---0--0 8 u= W= Compute 3w+6u = -131

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Q: Compute u – 3v, u v and u x w.

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Q: find The Salutionst a the falleiwing spitem bymears af matrices 2x-343D-n where your Yoll humber.

A: Given system of equations. 2x-3y=-nx+4y=5n. Let us represent the above set of equations in matrix…

Q: 3) Find integers x and y such that 13x + 15y = 1.

A: We see, 15 - 13 = 2              => k(15 - 13) = 2k for any integer k              => 15 k -…

Q: 3) Compute A-1 using adjoint. -1 -2 -3 -41 1 2 3 Let A = 5 1 0 0

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Q: The set of polynomials {3t²-3t+5, mt+6t²+10} is a linearly dependent set in P, if 2 m=6 Select one:…

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Q: Is the following a basis for R3? Justify your answer. 0 3 2 1 -5 2 1 2 -3

A: Result:(i) If a subset S of  forms a basis of . Then S is linearly independent.(ii) If a subset S of…

Q: Which of the following are difference sets? (ii) {0, 1, 3, 5} in Z13,

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Q: Prove that {4a + 126 : a, b E Z} = {4c: c € Z}.

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