(a) Consider the system of equations x+2y-z = 4, 2xy + 3z = 3, 4x +...

 

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(a) Consider the system of equations x+2y-z = 4, 2xy + 3z = 3, 4x + 3y + z = a, where a is a constant. For each value of a, use a matrix method to determine the number of solutions. Find all such solutions, expressing any answers in vector form. (b) Find and classify the stationary points of the function f: R2 → R given by f(x, y) = x³ - 3x - y² e 2. (a) Consider the system of equations x+2y-z = 4, 2xy + 3z = 3, 4x + 3y + z = a, where a is a constant. For each value of a, use a matrix method to determine the number of solutions. Find all such solutions, expressing any answers in vector form. (b) Find and classify the stationary points of the function f: R2 → R given by f(x, y) = x³ - 3x - y² e 2.

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So the co efficient matrix of the given system is Explanation if RankAbRankAn where nord... View the full answer