 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2014/paper-2/12/b/i/solution

Collect the coefficients of the unknowns into the matrix and the constants into a column. The requested linear system is

12 a 121 1 a - 1 3 x y z = 345 .

The unknown coordinate

y

here is a scalar component; the right-hand column is the vector denoted by the question's matrix-form notation.

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