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Let A =

| 0 sin²θ cos²θ |
| cos²θ 0 sin²θ |
| sin²θ cos²θ 0 |

and A = P + Q where P is symmetric matrix and Q is skew-symmetric matrix.

What is P equal to ?

Mathematics 2022 NDA Mathematics 2022 NDA 2022

Options

| 0 1/2 1/2 |
| 1/2 0 1/2 |
| 1/2 1/2 0 |

| 0 1 1 |
| 1 0 1 |
| 1 1 0 |

cos2θ
| 0 –1 1 |
| 1 0 –1 |
| –1 1 0 |

cos2θ
| 0 –1/2 1/2 |
| 1/2 0 –1/2 |
| –1/2 1/2 0 |