The linear system Has a unique solution... 2x + ay + z x + 2y + 2az x - 3y + 4z = U = 2 3u O True for all real values of u and a. O True for some real values of u and a, and false for others. O False for all real values of u and a. True for all real values of u and some (but not all) real values of a. O True for some (but not all) real values of u and all real values of a.

Q: x1 x2 x 3 Xx4 +s x1 +x2 x1 x2 +x3 X3 +x4 +x4 = = 1 2 -3

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Q: 15. Prove: If a, b, c, a, and M are constants and M = 0 then ax²y" + bxy' + cy has a particular…

A: Let us solve above problems.

Q: Evaluate by separation of variables. y = xy? O x(y + C) + 2 = 0 O y(a² + C) + 2 = 0 O (2² + C) + 2 =…

A: Given: y'=xy2

Q: If z = x* - 3x2 + 6x + 5y3- 7y + 7, find az az and ax ay az ax az ay

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Q: Write sin(3x) cos(7x) as a sum of trigonometric functions.

A: Given trigonometric function is  sin3x cos7x. Write the sin3x cos7x as a sum of trigonometric…

Q: Show that the only real value of A for which the following equations have non-zero solutions is 6.…

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Q: Let A = 1 -2 3 -2 -2 a 3 2 . For which values of a is there always a solution of Ax=b?

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Q: w + x + y + z = 13 2w + 3x - z =- 1 3w + 4x + y + 2z = 10 w + 2x - y + z = 1

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Q: Solue the following equation by using Cramer's rule x₁ - x₂ + x3 2x₁ + 33₂+ 4x3 6x₁5x2-723 = 13 20 =…

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Q: If (x-2y)=-4 and am=6, then 2amx+4amy=_____

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Q: Suppose the following system is consistent for all possible values of f and g. What must be true…

A: We can find the values of c and d for consistent solution.

Q: Dr. Ng (not his real name) works part time as a fruit seller. He goes to the fruit wholesaler every…

A: 1st) Dr Ng wants to buy total 100 fruits. He have 200$ in his pocket.  Let no. Of oranges he bought=…

Q: Determine whether x = (0 3 0 9 2) is a solution

A: Given that max   2x2+2x5s.tx1+x2-x5=1x2+x3+x5=5-2x2+x4+x5=5x1,x2, x3,x4, x5≥0 To determine…

Q: Let A= [-3   2   5                    B= [2   0   -1              0   -1   4…

A: The given matrices are  A=-3250-142-31 and B=20-13-22-140

Q: Consider the vectors ā₁ 8. , ā₂ = = (a) Write b as a linear combination of a₁, 72, and a3. (b)…

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Q: Prove that if b+ 6 < 0, then x + bx + 5= 0 has at least one real solution.

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Q: Find each result.  3A + 2B [                          ]  Let A= [ -2 3 4                     and…

A: Given: Two matrices A and B as, A=-2341-4-5-5-46 B=-142-5-2163-4 Objective of the question is to…

Q: Solve the problem. Let A = 1-3 2 -2 5-1 and b and 3-6-3 b = b1 b₂ b3 Determine if the equation Ax =…

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Q: Select all the real numbers M among the choices below such that the two planes given by r: -2 = 2 -2…

A: We have to select all the real numbers M among the choices given.

Q: For each of the following systems describe for which value of a and 3 the system admits one…

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Q: Internet Audience At the end of a certain year, the four companies with the largest number of home…

A: Given: The combined audience are 284 and  z-u=3x-y+22x+y=48+z+ux-y+z-u=54 To find: How large was the…

Q: y = 2x + 3 ir x +y = - 3 3y = 9x- 6 2y - 6x = 4

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Q: c. d be real numbers in G.P.If u, v, w, satisfy the system of equations = 2v + 3w = 6 5v + 6w = 12…

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Q: um value of -+ b + c c + a + a+b

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Q: Two particles are traveling through space. At time t the first particle is at the point (-5+ 2t, 3 +…

A: Position vector of first particle at time t= -5+2t,3+3t,1-tPosition vector of second particle at…