Question:
Let \(a=\begin{bmatrix} \frac{1}{\sqrt3} \\ \frac{-1}{\sqrt2} \\ \frac{1}{\sqrt6} \\ 0\end{bmatrix}\). Consider the following two statements.
P : The matrix I4 - aaT is invertible.
Q: The matrix I4 - 2aaT is invertible.
Then, which one of the following holds ?
Let \(a=\begin{bmatrix} \frac{1}{\sqrt3} \\ \frac{-1}{\sqrt2} \\ \frac{1}{\sqrt6} \\ 0\end{bmatrix}\). Consider the following two statements.
P : The matrix I4 - aaT is invertible.
Q: The matrix I4 - 2aaT is invertible.
Then, which one of the following holds ?
P : The matrix I4 - aaT is invertible.
Q: The matrix I4 - 2aaT is invertible.
Then, which one of the following holds ?
Updated On: Oct 1, 2024
- P is false but Q is true
- P is true but Q is false
- Both P and Q are true
- Both P and Q are false
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The Correct Option is A
Solution and Explanation
The correct option is (A) : P is false but Q is true.
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