Neco 2018 Further Mathematics Question 5

Practice essay / theory question 5 from the 2018 Neco Further Mathematics examination. This question covers Matrices, Determinants, Inverse of a matrix, Solving linear systems .

Neco 2018 Further Mathematics Essay / Theory

Topics: Matrices Determinants Inverse of a matrix Solving linear systems

Question 5 NECO • 2018 • FURTHER_MATHEMATICS • essay

The matrix \(A = \begin{bmatrix} 2 & k \\ 3 & 5 \end{bmatrix}\) is used to represent a system of linear equations. The determinant of \(A\) is required to be 1.

Question Parts

( a )

Determine the integer value of \(k\) for which \(\det(A)=1\).

( b )

Find the inverse matrix \(A^{-1}\) for the value of \(k\) obtained in part (a).

( c )

Using the inverse found in part (b), solve the simultaneous equations \(2x + ky = 7\) and \(3x + 5y = 11\).

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About This Question

This is Neco 2018 Further Mathematics Question 5. It is one of the essay questions from the 2018 Neco Further Mathematics examination.

The question covers Matrices, Determinants, Inverse of a matrix, Solving linear systems .

View More Neco 2018 Further Mathematics Questions More Neco Practice Questions Back to Questions

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