Neco 2020 Further Mathematics Question 6

Practice objective / multiple choice question 6 from the 2020 Neco Further Mathematics examination.

Neco 2020 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 6 NECO • 2020 • FURTHER_MATHEMATICS • objective

The matrix \( A = \begin{pmatrix} 2 & x \\ 3 & 5 \end{pmatrix} \) is known to satisfy the equation \( A^{2} - 7A + 10I = 0 \), where \( I \) is the \(2\times2\) identity matrix. Determine the value of \( x \) and then find \( \det A \).

Answer Options

A. 15
B. 5
C. 12
Correct Answer D. 10
Correct Answer
D
Correct Option:
10

About This Question

This is Neco 2020 Further Mathematics Question 6. It is one of the objective questions from the 2020 Neco Further Mathematics examination.

Difficulty level: Medium .

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