Neco 2023 Further Mathematics Question 7

Practice objective / multiple choice question 7 from the 2023 Neco Further Mathematics examination.

Neco 2023 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 7 NECO • 2023 • FURTHER_MATHEMATICS • objective

A linear transformation \(T:\mathbb{R}^{2}\to\mathbb{R}^{2}\) satisfies \(T(1,2)=(3,5)\) and \(T(4,-1)=(k,7)\). Find the value of \(k\) that makes \(T\) invertible and then give the determinant of the matrix representing \(T\).

Answer Options

A. k = 4; determinant = -1/9
B. k = 5; determinant = 4/9
C. k = 2; determinant = -11/9
Correct Answer D. k = 3; determinant = -2/3
Correct Answer
D
Correct Option:
k = 3; determinant = -2/3

About This Question

This is Neco 2023 Further Mathematics Question 7. It is one of the objective questions from the 2023 Neco Further Mathematics examination.

Difficulty level: Hard .

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