2.10.3 Matrices, SPM Paper 2 (Long Questions)

Question 8:
The inverse matrix of
(a) Find the value of n and of t.
(b) Write the following simultaneous linear equations as matrix equation:
4xy = 7
2x + 5y = –2
Hence, using matrix method, calculate the value of x and of y.

Solution:

Question 9:

(b) Using matrices, calculate the value of x and of y that satisfy the following matrix equation:
$\left(\begin{array}{cc}-4& 2\\ -5& 3\end{array}\right)\left(\begin{array}{l}x\\ y\end{array}\right)=\left(\begin{array}{l}1\\ 2\end{array}\right)$

Solution: