Determine whether the following is a basis. 1.S %3D (4 - х, х3, 6х?, х3 + 3х, 4х — 1} | [2 0* [1 0. 3. l3 2! 12 2. S =

Q: Ex. C- Goals Scored by two teams in a Football Match were as: No. of Goals Scored In A Football…

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Q: Let U = {1, 2, 3, 4,..,10}. A = {1, 2, 3, 4, 5}, B = {1, 2, 4, 8}, C = {1, 2, 3, 5, 7} Find the…

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Q: U W V

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Q: 2 A = 2 8 | A+B= Select one: a. -3 -2 1 7 b. 3 1 7 С. 3 -2 1 7 d. 3. -2 1 -7

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Q: Evaluate āxb where ā = 3î – 5} and 5 = 2î + 3}

A: unit vector cross product:i^ x j^ = k^                           j^ x i^ = -k^j^ x k^ = i^…

Q: Q#02: Show that 2リー33+5 -- t, esint 3.

A: Some properties of Laplace inverse of a function  Linearity property :…

Q: If u = (1,6,6), and v=(6,-3,2), proj,u = a. b. scal,u= proj,v%3D с.

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Q: Let i = (2, –1, 5) and ū = (5, –7,3). Find 37 – 5ū. %3D - А. (-19, —32, 0) В. (-19, 32, 0) С. (19,…

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Q: Let ā = (2, 3, – 2) and b = (4, 2, – 2). - Find a · 6.

A: The dot product of two vectors is calculated as follows: a→·b→=xi^+yj^+zk^·ai^+bj^+ck^=ax+by+cz

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Q: 5 33 Let A = The maximum set B of linearly independent eigenvectors of matrix Ais.. [3/3 - 1 E. B=…

A: The given matrix is: A=53333-1

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Q: (2) Write v as a lincar combination of u₁, U₂, U3 if possible, where U₁ = (2,3,5), u₂ = (1, 2, 4),…

A: Given that,  V=(10, 1,4)  u1=(2, 3,5), u2=(1, 2,4) , u3=(-2, 2,3)  To find : a, b, c such that…

Q: -5,-12, -19,-26, .. A а, 3-5n + 1 %D a n = -7n + 2 а, 3D-7п - 12 a 72 D a, = 7n – 12 %D

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Q: (0,0) (2,4)

A: In the given graph we have two points on line. which are (-4,2) ,(0,4)

Q: Given = (2,6), u = (-1,4), and u = (3,-7), find each of the following. - - a. u + v b. w-v c. w.u

A: Since you have asked multiple part question, we will solve the first 3 part of thequestion for you…

Q: A = {2,3, 5} B= {x €Z: x is an integer multiple of 3} C = {1,2,6} (AUC) – B ={ Ex: 1, 2, 3 } %3D

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Q: - 4x, + 2x, = -6 3x, - 5x, = 1 %3D

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Q: 1/3 of × = 18. Identify the ×.

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Q: A. 16.28 Pass this test B. 17.48 -3.6 x -4.8 C. 17.28 and you may rest! D. 16.48 Level8 Q1 А В СD…

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Q: Consider the graph below of the second derivative, f" (x), of somę function f(x). On what intervals…

A: our objective is to check the concavity of function

Q: (3+5i)- (2-1)- 1+6i o 1-6i 6+i 2-4i C

A: When two complex number are added, the real parts are added with each other and the imaginary parts…

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Q: Find u x v, v x u, and v x v.

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Q: find u ·v.

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Q: pies 4금 pies pies O A 11를 pies?. O B. 282 pies. B. 28을 pies?. O c 48층 pies3. O D. 577 pies.

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Q: Let a = (2, 4, 6) and b = (4, 2, 4). - (å – 6) × (å + 6)

A: Given: a→=2i^+4j^-6k^ b→=4i^+2j^+4k^ a→-b→=2i^+4j^-6k^-4i^+2j^+4k^          =-2i^+2j^-10k^…

Q: Let â = (2,0, –3), %3D b = ( and -4, –7,1) c = (1,1,–1). Find

A: The given vectors are a⇀=2, 0, -3, b⇀=-4, -7, 1  and  c⇀=1, 1, -1.

Q: Choose which variables are basic and which are nonbasic: X1 X2 X3 S1 S2 S3 P 0 8 1 -4 0 40 4 160 1 8…

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Q: 2x 4. If x = (1, -2, 7), ³ = (0, 5, 1), and z = (1, 1, -2), then what is the value of a. 6 12 b. 7…

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Q: Let A = {1,2,3} and B = {2,7,9}. Then (ANB)UA = %3D None of the these O ANB O B O A

A: Here two sets are given, we have to find the equivalent expression for the given expression in the…

Q: A. Nine students held their breath, once after breathing normally and relaxing for one minute, and…

A: Solution:  X Y (X-X) (Y-Y) (X-X)(Y-Y) (X-X)2 (Y-Y)2 56 87 2.3333 8.8889 20.74047 5.444289…

Q: 10 If a %3D (-5,-4, 3 ), b %3D (6,-2,-7), с %3D (-2, 2, 4 ) Find 2a - b-0.5 с ? ( - 15, – 7,11) о…

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Q: -1 1 1 -2 Let A= Then, ||A|l2 = Select one: a. 8+45 b. 7+45 C. 9+45 d. 10+45 2. 2.

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Q: 1. Find a b (a) a =, b = (b) a =, b = (c) a= 27 +3j - 4k, b = i-3j+k

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Q: Which of the following are linear combinations of v1 = (1, -2,2) v2 = (3, -5,7) O a. (24, -39, 51) O…

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