Use the inverse of the coefficient matrix to solve the system of equations. x + 2y + 3z = 20 2x + 3y + 4z = 3 -x-2y-2z = - 31 (x,y,z) = ( (Type an ordered triple, using integers or fractions.)

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A: Given : V=R3  ,  W=a , b , c ∈V | a2+b2=c2 To Prove : W is Subspace of V

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Q: The coefficient of x6y12 in the expansion of (x + y)18 is ___________.

A: Given that x+y18

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A: Using integrating factor 1/x^2

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Q: Question 4 please! Show work

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A: Explanation of the answer is as follows

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Q: nswer below: -31-3 -3 -31-3 |-3 -6 -7 -8

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Q: Diophantine Equation Determine all integral solution 24x+138y=18

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Q: = -16 cos 20 (lemniscate)

A: The given polar equation is r2=-16 cos2θ We have to sketch graph of the given polar equation.

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Q: Maximize subject to: with z=7x₁ + 3x2 + 8x3 x₁ + x2 + x3 ≤6 x₁ + x₂ ≤3 7x₁ + x2 + 2x3 ≤ 15 x₁20,…

A: Given primal problem is Maximize Z=7x1+3x2+8x3 subjected to  x1+x2+x3≤6x1+x2…

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Q: per triangular nxn matrix. Prove that if CCT=

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A: Details are given in step 2.

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Q: 100 A = 0 2 1 022

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A: We have to show that &lt;a,b&gt;=&lt;a,ab&gt;

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Q: Sketch the graph of the given polar equation and verify its symmetry

A: Given polar equation is  r=21-cosθ . To plot the given curve and verify its symmetry.

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