If x, y are any two non-zero real numbers, a_{i j}=x j+y i= (a_{i j} )_{n \times n} and P, Q are two n \times n matrices such that A=x P+y Q then

Correct Answer is : P + Q is symmetric and P − Q is skew symmetric.

P is singular and Q is non-singular.

P + Q is symmetric and P − Q is skew symmetric.

Both P+Q and P-Q are non-singular

TS EAMCET 5 May 2018 Shift 2 Solved Paper

Section: Mathematics

Question : 5 of 160

Marks: +1, -0

If x,y are any two non-zero real numbers, aij=xj+yi=(aij)n×n and P,Q are two n×n matrices such that A=xP+yQ then

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