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

Q: Let a = - 2ỉ - 4j – k and b = 4j + 2k. Find — ả + b. V

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Q: Determine: if S = {4t - t2, 5 + t3, 5 + 3t, -3t2 + 2t3} is a basic for P3

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Q: Suppose (2, -3, 4) x (1, 7, a)= (-16, 12, 17). Determine the value of a

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Q: Find , if f = 1læ“ + 7y² ду 14y O O o 44x° + 14y 44x 3

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Q: Let B = [-1 1 4 -3] Find -4B

A: Solution

Q: Compute -(-x - 3x²-x). ď² da²

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Q: iven ux*² = (1,-4,0), find lữ LƯ JAC

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Q: Find x and y such that,  77815x - 8216y=(77815 , 8216

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Q: Find x, and x2- -52 28 -5 5 X2 40 X =

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Q: Let a =(3, -3, 8), and B = (-7, -1, 3), and = (8, 4, 11). Find ||2ä - 36||.

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Q: 11. (8-4w)(-6w+2)

A: To evaluate: 8-4w-6w+2 We know that x+px+m=x2+px+mx+pm

Q: 5V2 + 6/64

A: We need to find the solution of 525+6645

Q: dx x²V(x² -4) Select one: a, 4x b. Vx? - 4) + C C. -Vx? -4) + C 2x d. Vx² - 4) 21 wwm + C 2x

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Q: Find 3V- 4W !L and

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Q: Calculate the risk of fire if the probability of a release is 2.13 x 106 per year. The probability…

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Q: If A=(7,8) and B=(2,4,6) find A x B

A: Explanation of the answer is as follows

Q: The value of x such that (9) 3x – 12) = (3)2x) is: Select one: а. 12 b. -6 С. -12 d. 6

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Q: Given w= (-4, 12), s=(-6, -2), and r=(4, 11), %3D find 6r-(w+s). 6r-(w+s) =(| , O)

A: This is related to vector addition sub, and mul

Q: 2n"-3x+2=o frcove 846 8ub +ga3 t8=0

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Q: Let ā 47- 57 and b - 27 + 3j + 4k. Find - 2ā - 36.

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Q: Compute (+4)2dx. f

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Q: Find a × b if b = (–6, 9, —15) and à = (4, −6, 10) (-3,-2,0) (0,0,0) (1,-1,-1) (-24,-54,-150)

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Q: Express as a polynomial. (2u +3)(u - 4) ( 4u+u ) 2

A: Given: y=22u+3u-44u+u For expressing given expression as a polynomial, we simplify given expression…

Q: of dx forf = 3x² y² – 4.x³ y Q2. + -

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Q: 7over9 + 3over4 - 2over3 =

A: We have to find the value of ,      7 over 9 +3 over 4-2 over 3

Q: Compute r2

A: Given the calculated values, t value, t = 2.17

Q: Let a = (1, 3, 8) and b = (7, 3, 4). Compute 5a + 7b

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Q: (AUB) = ACNBC. Show that P(ACNBC) = 1- P(A) - P(B) + P(ANB)

A: P(Ac∩Bc)=1−P(A)−P(B)+P(A∩B)

Q: +10-3+v (e%3D2, v 4)

A: Given that  C4 +10 -3 +V And C=2 V=4. Substitute C=2 and V=4 in given equation.

Q: If A %3D аx + За, and B %3D 5ax + 2а, — баz, find @AB- АВ

A: ANGLE BETWEEN TWO VECTOR

Q: Find et, where A = 5 3 -3 -1

A: Given That : Matrix A=5-33-1. To Find : eAt

Q: Let ā (3, 5, - 4) and 6 = (1, 4, 3). (à − b ) × ( ã + b) =

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Q: Find whether A and B are independent in the following cases : (AB) = 256 ; (aB) = 768 ; (AßB) = 48 ;…

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Q: show that (AB)-1 = B-1A-1

A: Given matrix A has a order of 2x2 while matrix B has a order of 2x3.

Q: write of linear Combination as a V,Vz, V3 where V= (2,7,10), V.=(1,2,3),V2=(1,3,5), V3=(1,5,9)

A: Let us assume v can be expressed as linear combination of v1, v2 and v3 v=av1+bv2+cv3…

Q: Please compute x and y such that 117x + 17y = gcd(117,17), 52x + 56y = gcd(52,56), and 123x + 126y =…

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Q: If a×b=a×c and a does not = 0 , does this mean that b=c?

A: As, the relation given