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Mathematics for Data Science II, Quiz 1

September 2023 term, 29 Oct 2023, Set QPF2

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Question 1

+1−0Numerical answer

Consider the system of linear equations x + ky = 2, kx + y = 2.
Based on the above data, answer the given subquestions.

Find the values of k for which the system of equations has no solution.

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Consider the system of linear equations *x* + *ky* = 2, *kx* + *y* = 2.\ Based on the above data, answer the given subquestions. Find the values of *k* for which the system of equations has no solution. Consider the system of linear equations *x* + *ky* = 2, *kx* + *y* = 2.\ Based on the above data, answer the given subquestions. Find the values of *k* for which the system of equations has infinitely many solutions. Consider the system of linear equations *x* + *ky* = 2, *kx* + *y* = 2.\ Based on the above data, answer the given subquestions. If the system has a unique solution (*a*, *b*), what is *a* − *b*?