If A=1&0&0\ 0&\cos~ heta&\sin~ heta\ 0&\sin~ heta&-\cos heta, then which of the following are correct? 1. is a null matrix 2. is a null matrix 3. is a null matrix Select the correct answer using the code given below :

Question

If A=1&0&0\ 0&\cos~	heta&\sin~	heta\ 0&\sin~	heta&-\cos	heta, then which of the following are correct? 1. is a null matrix 2. is a null matrix 3. is a null matrix Select the correct answer using the code given below :

SquadPrep · Accepted Answer

1, 2 and 3. The determinant of is . Multiplying by itself yields , meaning . Therefore, , making Statement 3 true. Also, . This gives (Statement 2) and (Statement 1). All statements are correct.

Answer

1 and 2 only

Answer

2 and 3 only

Answer

1 and 3 only

If A=\begin{pmatrix}1&0&0\\ 0&\cos~\theta&\sin~\theta\\ 0&\sin~\theta&-\cos\theta\end{pmatrix}, then which of the following are correct? 1. A+adjA is a null matrix 2. A^{-1}+adjA is a null matrix 3. A-A^{-1} is a null matrix Select the correct answer using the code given below :

Explanation

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