Find the values of x, y and z in the following system of equations by using the Cramer's Rule. 2.x+3y- z = 4 3x + y+2z = 13 x+2y-5z =-11

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

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Q: 2x+ yt42+ 8€ = -1 X +3y -62 + 2t = 2 3X-2yt22-2t = 8 2X-y +22 = 4

A: We have the set of equations given by  2x+y+4z+8t=-1x+3y-6z+2t=23x-2y+2z-2t=82x-y+2z=4 Taking the…

Q: If 2x + 3y = à and -x + 5y = 6b, express x and y in terms of à and b.

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Q: Add. (7y +y- 5) + (5y² - y -6) (7y? + y- 5) + (5y² - y-6) =D (Simplify your answer.)

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Q: If A = 5    1      and B = 3     -6           3     2                   1     -3 Find: I. A2 ii.…

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Q: Find å · b for å = (4,1, →) and b = (6,–3,–8).

A: Topic:- dot product of vectors

Q: Ifv = [ -2, 4], compute and draw 2v, 1/2 v, and -2v.

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Q: Using Cramer's Rule, determine D-3D₁+2D₂-D3 from the following system of equations: 395 - 1 2 1 482…

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Q: Let u = 4u + 5v (9, -2, -8) and v = (4, −3, −1).

A: The required solution is:<56,-23,-37>Explanation:

Q: b. Express each equationin standard form 1. 12y2 – 4x2 – 16x + 72y + 44 = 0 2. x2 – 2y2 + 6x + 4y +…

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Q: X+2y=3 , x-y=6

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Q: Solve for fx(-9, 9) and fy(-9, 9). f(x, y) = 5x2 + 8xy + 4y2 + 6x − 9y; (−9, 9)

A: Given:fx,y=5x2+8xy+4y2+6x-9yTo find:→fx-9,9→fy-9,9

Q: T. If TM 3y and TX 2y + 24, then Y

A: Given,  TM = 3y TX = 2y + 24

Q: Let a = 5j + k and b - 27 + 3 + 2k. Find - 3ā – 36.

A: We can find the given vectors.

Q: If JL = 5x + 1 and MK = 8x - 32, find JL %3D and NK. M JL = NK =

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Q: Find the values of c1, c2, and c3 so that c1 (4, –6, 2) + c2(-4, 3, 0) + c3 (-2,0, 0) = (-4, –3,…

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Q: If a = [1, 2]  and  b = [2, 7], find a + 2b.

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Q: Use Cramer's Rule to find values for x and y that satisfy the following system. 5x - 3y = -32 y = 4…

A: The given system is, 5x-3y=-32y=4 To Find: Solution of the system using Cramer's rule.

Q: 2x- 3x-2 6x + 3x? + 2x+1 2x- 3x-2 6x + 3x + 2x+1

A: Explanation of the answer is as follows

Q: 6x-2y-4z 2 =D2 3x-5y-6z =-4 %3D -12x+8y+21z =8

A: Using cramers rule, x= Dx/D ;     y= Dy/D ; z= Dz/D

Q: 7b + 8b2​2​​ + 3 + y + 2b + 2y + 2 =   A 17b2​2​​ + 3y + 5 B 8b2​2​​ + 9bb + 5y C 8b2​2​​ + 9by +…

A: 7b + 8b2​2​​ + 3 + y + 2b + 2y + 2 = ?

Q: let v = (−2, 5) and w = (3, −2) Calculate 5w − 3v and 5v − 3w

A: Consider the given vectors. v=-2,5w=3,-2 Now, find the value of the vector 5w − 3v.…

Q: d The Value 2X-24-2 4x+3-22 3x+44-32

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Q: Calculate AB – 2CT where 1 2 A -1 0 1 1 2 1) В C = 0 1 (-3 2, -

A: Given the matrices A=12101-1,B=-1021-11,C=-21-32. Calculate AB-2CT.

Q: If A = 3j + 2k, B = 2i – 2j – 2k then Ax B

A: Use cross product of vector

Q: Use Cramer's Rule to find values for x, y, and z that satisfy the following system. + 4z = 13 14 =…

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Q: Given

A: Given,        A=-1k+13k2

Q: Find a + b, 2a + 3b, a = 3i - 5j + 3k, b = 2j - k a+b= 2a + 3b = X X

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