NDA 2024 Mathematics question
Consider the following in respect of the matrices and Q=\begin{bmatrix}a^2&ab&ac\\ab&b^2&bc\\ac&bc&c^2\end{bmatrix} : I. is a null matrix. II. is an identity matrix of order 3. III. Which of the above is/are correct?
Answer: (C)
Solution
Let ; then . Pv = \begin{bmatrix}cb-bc\\-ca+ac\\ba-ab\end{bmatrix} = O, so : I is correct. Similarly $
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