Neco 2019 Further Mathematics Question 49
Practice objective / multiple choice question 49 from the 2019 Neco Further Mathematics examination.
A linear transformation \(T:\mathbb{R}^{2}\to\mathbb{R}^{2}\) satisfies \(T(1,2) = (3,5)\) and \(T(2,-1) = (4,-2)\). Find the matrix \(A\) of \(T\) with respect to the standard basis, and then compute the area scaling factor, i.e., the absolute value of \(\det A\). Express the determinant as a fraction in lowest terms.
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About This Question
This is Neco 2019 Further Mathematics Question 49. It is one of the objective questions from the 2019 Neco Further Mathematics examination.
Difficulty level: Hard .
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