TS EAMCET · Maths · Matrices
If \(x, y\) are any two non-zero real numbers, \(a_{i j}=x i+y j, A=\left\{a_{i j}\right\}_{n \times n}\) and \(P, Q\) are two \(n \times n\) matrices such that \(A=x P+y Q\), then
- A \(P\) is singular and \(Q\) is non-singular
- B \(P+Q\) is symmetric and \(P-Q\) is skew symmetric
- C Both \(P+Q\) and \(P-Q\) are singular
- D Both \(P+Q\) and \(P-Q\) are non-singular
Answer & Solution
Correct Answer
(B) \(P+Q\) is symmetric and \(P-Q\) is skew symmetric
Step-by-step Solution
Detailed explanation
We have, \(a_{i j}=x j+y i\),…
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