JAMB Mathematics 1992 Question 23

Question 23

Matrices and Determinants

Use the matrices below to answer questions 22 and 23.
P = [x 3 0; 2 y 3; 4 2 z] (rows: x, 3, 0 / 2, y, 3 / 4, 2, z)
Q = [x 2 4; 3 y 2; 0 3 z] (rows: x, 2, 4 / 3, y, 2 / 0, 3, z)
PQ is equivalent to

  1. A.PPT
  2. B.PP−1
  3. C.QP
  4. D.PP
Show the answer and explanation

Answer: A (PPT)

Explanation

Q's rows are P's columns, so Q = PT and PQ = PPT.