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: The number of integer values of m, for which the x-co- ordinate of the point of intersection of the…

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Q: Find a nontrivial solution of v¹Q = 0¹ using the fact that the first and second rows of Q are…

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Q: For the value of k such that the following linear equations have an infinite number of solutions,…

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Q: The linear system 2x3 x₂ 3x3 3x1 + 3x₂ + 3x3 = I = 0 -3 0 is not in echelon form. Begin by choosing…

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Q: -4 -3 u = -3 = w = -3 18 8 + k are linearly independent if and only if k +

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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: The equations x + y = 2 and 2x + 2y 8 are examples of equations which are: Dependent Independent…

A: Example of equations

Q: True and false Let a, B be two real values of k for which the system of equations x+2y+z =1 x+3y+4z…

A: We have: x+2y+z=1x+3y+4z=kx+5y+10z=k2 This can be written as: 1211341510xyz=1kk2 This is of the form…

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

A: We have given the number of audience of home internet users.Microsoft = x millionsTime Warner = y…

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: Trump, Kim, Justin, Modi, Putin and Sefu are at a round table dinner. [The answers of the following…

A: The number of ways in which n different objects can be arranged in a linear fashion, can be given by…

Q: Solve the problem. Leta₁- a₂ a3- and b- Determine whether b can be written as a linear combination…

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Q: x = 3 (mod4) (6pow) g = x x = 8 (mod12)

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Q: if the systemn has free variable then the system has unique solution Select one: O True O False

A: 1. A system of m linear equations in n unknowns x1,x2,...,xn is of the from…

Q: Determine the condition on a, b, and c so that the systems in unknowns x, X2, and x3 has a solution.

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Q: Consider the system of equations where all coefficients are none zero real numbers a11x1 + a21X2…

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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: 10 0 01 2 1 0 1 3 1 -1 2 0 1 3 0 2 2 -2 0 0 0 0 0 0 1 Ax = x= NNOM

A: A  matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and…

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: find the value of n for which of the following sytem of linear equations has no solution. 3x ny=5…

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Q: Suppose that the linear system a11x1 + a12x2 + + A1nXn a21x1 + a22x2 + ... + A 2nX n C1 = C2 ak1x₁ +…

A: The given linear system is:a11x1+a12x2+...+a1nxn=c1a21x1+a22x2+...+a2nxn=c2…

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

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Q: It is acceptable to multiply a linear equation through by zero in elementary row operations. True…

A: We want to find the given statement is true or false.

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: Determine the values of A such that the given system of equations also has nontrivial solutions.…

A: 7-λ-4-124-1-λ-44-4-9-λx1x2x3=000 Here, A=7-λ-4-124-1-λ-44-4-9-λ Now the system has nontrivial…