Question 10:
It is given that matrix M is a 2 × 2 matrix such that
M(−2 11 3)=(1 00 1)
It is given that matrix M is a 2 × 2 matrix such that
M(−2 11 3)=(1 00 1)
(a) Find matrix M.
(b) Write the following simultaneous linear equations as matrix equations:
–2x + y = 10
x + 3y = 9
x + 3y = 9
Hence, using matrix method, calculate the value of x and of y. [6 marks]
Solution:
(a)
R=(−2 11 3)−1 =1(−2)(3)−(1)(1)(3 −1−1 −2) =−17(3 −1−1 −2) =(−37 1717 27)
(b)