TS EAMCET · Maths · Matrices
\(A\) and \(B\) are two non square matrices. If \(P=A+B, Q=A^T B, R=A B^T\), then the matrices whose order is equal to the order of A are
- A PQ and QR
- B RQ and QP
- C \(P Q\) and \(R P\)
- D PQR and RPQ
Answer & Solution
Correct Answer
(C) \(P Q\) and \(R P\)
Step-by-step Solution
Detailed explanation
Let \( \text{Order}(A) = m \times n \). Since \( P=A+B \), \( \text{Order}(B) = m \times n \). Given \( A \) is non-square, \( m \neq n \). \( \text{Order}(P) = m \times n \). \( \text{Order}(Q) = \text{Order}(A^T B) = (n \times m)(m \times n) = n \times n \).…
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