JAMB Mathematics 2008 Objective — Question 23

Question 23 of 50 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2008 Objective paper, with the correct answer and a full explanation.

Find the values of x and y respectively if (1 0; -1 -1) + (x 1; -1 0) - (-2 1; 2 -1) = (-2 1; -3 0)

A. -3, -2
B. -5, -3
C. -2, -5
D. -3, -5Correct

Explanation

Solving the matrix equations term by term: -2p+r=1, 2p+3r=0. Solving simultaneously: 4r=1, r=1/4, and other terms give x=-3, y=-5.

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