Consider the following in respect of the matrices P=\left[\begin{array}{ccc}0 & c & -b \ -c & 0 & a \ b & -a & 0]\end{array} and Q=\left[\begin{array}{ccc}a^2 & a b & a c \ a b & b^2 & b c \ a c & b c & c^2]\end{array} I. PQ is a null matrix. II. QP is an identity matrix of order 3. III. PQ = QP Which of the above is/are correct?

UPSC NDA II 2024 Mathematics Paper

Question : 19 of 120

Marks: +1, -0

Consider the following in respect of the matrices P=[

] and Q=[

]
I. PQ is a null matrix.
II. QP is an identity matrix of order 3.
III. PQ = QP
Which of the above is/are correct?

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