Gce Model Questions Vol1 2022 Further Mathematics Question 31

Practice objective / multiple choice question 31 from the 2022 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2022 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 31 GCE_MODEL_QUESTIONS_VOL1 • 2022 • FURTHER_MATHEMATICS • objective

Two matrices \(A = \begin{pmatrix} 1 & 2 \\ 3 & k \end{pmatrix}\) and \(B = \begin{pmatrix} k & 1 \\ 4 & 5 \end{pmatrix}\) satisfy \(\det(AB)=20\) and \(A\) is invertible. Find all possible values of \(k\) and then compute \(\det(A^{-1}B)\).

Answer Options

A. (221+13√269)/10 and (221-13√269)/10
Correct Answer B. (219+13√269)/10 and (219-13√269)/10
C. (219+15√269)/10 and (219-15√269)/10
D. (219+13√269)/12 and (219-13√269)/12
Correct Answer
B
Correct Option:
(219+13√269)/10 and (219-13√269)/10

About This Question

This is Gce Model Questions Vol1 2022 Further Mathematics Question 31. It is one of the objective questions from the 2022 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Medium .

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