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UI Post-UTME Mathematics 2014 Question 29

Question 29

Matrices and Determinants

Matrices P, Q and R are 5 × 2, 2 × 3 and 3 × 5 respectively. Which of the following multiplications is NOT possible

  1. A.PQR
  2. B.QRP
  3. C.PRQ
  4. D.RPQ
Show the answer and explanation

Answer: C (PRQ)

Explanation

A product needs the columns of the first to equal the rows of the next; P has 2 columns but R has 3 rows, so PRQ is impossible.