linear algebra

Let $\gamma_1, \gamma_2, \gamma_3$ be the eigenvalues of the matrix $\begin{bmatrix} 1 & 0 & 0 \\ 0 & \cos t & \sin t \\ 0 & -\sin t & \cos t \end{bmatrix}$, where $t \in [-\pi, \p...

Let M = (I_n - (1/n)11^T) be a matrix, where 1 = (1,1,1, ...,1)^T ∈ R^n and I_n is the identity matrix of order n. Which of the following options is/are correct?

Let A = $(I_n - \frac{1}{n} \mathbf{1} \mathbf{1}^T)$ be a matrix, where $\mathbf{1} = (1,1,1, ...,1)^T \in \mathbb{R}^n$ and $I_n$ is the identity matrix of order n. The value of...