Let A be the adjacency matrix of a graph with vertices {1,2,3,4,5} (edges shown in figure). Let lambda1, lambda2, lambda3, lambda4, lambda5 be the five eigenvalues of A. The value of lambda1 + lambda2 + lambda3 + lambda4 + lambda5 = ___

If A = [[1, 2], [2, −1]], then which ONE of the following is A⁸?

Let A be a 2×2 matrix A = [[1, 1], [1, -1]]. What are the eigenvalues of the matrix A¹³?

The product of all eigenvalues of the matrix [[1, 2, 3], [4, 5, 6], [7, 8, 9]] is

Which of the following is/are eigenvector(s) for the matrix [[9,6,2,4],[8,6,3,1],[20,15,8,5],[32,21,…

Two matrices A and B are defined below. The number of distinct eigenvalues of the matrix (A^T * A + …

Consider the matrix R = [[1,2,4,8],[1,3,9,27],[1,4,16,64],[1,5,25,125]]. The absolute value of the p…