Previous-year question practice database
Answer
Exam answer
A = [[x,0],[1,1]] B = [[4,0],[y,1]] C = [[4,0],[x,1]].
AB = [[x,0],[1,1]][[4,0],[y,1]] = [[4x,0],[4+y,1]].
Given AB = C: [[4x,0],[4+y,1]] = [[4,0],[x,1]].
Equating entries: 4x = 4 x = 1.
4 + y = x = 1 y = −3.
Answer: x = 1, y = −3.
Explanation
Multiply A and B row by column, then equate corresponding entries with C.