Gce Model Questions Vol1 2022 Further Mathematics Question 12

Practice objective / multiple choice question 12 from the 2022 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2022 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 12 GCE_MODEL_QUESTIONS_VOL1 • 2022 • FURTHER_MATHEMATICS • objective

A linear transformation \(T:\mathbb{R}^{2}\to\mathbb{R}^{2}\) is represented by a matrix \(A\). It is known that \(T(1,2) = (3,5)\) and \(T(2,-1) = (0,-3)\). Determine the matrix \(A\), then find the image of the vector \((4,1)\) under the inverse transformation \(T^{-1}\).

Answer Options

A. (44\/9,7\/9)
Correct Answer B. (46/9,7/9)
C. (46\/9,8\/9)
D. (46\/9,5\/9)
Correct Answer
B
Correct Option:
(46/9,7/9)

About This Question

This is Gce Model Questions Vol1 2022 Further Mathematics Question 12. It is one of the objective questions from the 2022 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Hard .

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