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Given that (P = begin{pmatrix} 4 & 9 end{pmatrix}) and (Q = begin{pmatrix} -1 &…

Given that (P = begin{pmatrix} 4 & 9 end{pmatrix}) and (Q = begin{pmatrix} -1 & -2 \ 3 & 2 end{pmatrix}). Which of the following operations is possible?

  • A.
    (QP)
  • B.
    (P^{2})
  • C.
    (Q^{2}P)
  • D.
    (PQ)
Correct Answer: Option D
Explanation

A (1 times 2) matrix can be multiplied by (2 times 2) matrix to give a (1 times 2) matrix.