eigenvalue

The matrix $\begin{bmatrix} 1 & a \\ 8 & 3 \end{bmatrix}$ (where $a > 0$) has a negative eigenvalue if $a$ is greater than

Consider an n×n matrix A and a non-zero n × 1 vector p. Their product Ap = α²p, where α ∈ R and α ∉ {−1, 0, 1}. Based on the given information, the eigen value of A² is:

Consider a vector p in 2-dimensional space. Let its direction (counter-clockwise angle with the positive x-axis) be θ. Let p be an eigenvector of a 2 × 2 matrix A with correspondin...

The determinant of a 2×2 matrix is 50. If one eigenvalue of the matrix is 10, the other eigenvalue is