MCQ Subject: Linear Algebra

What does the sum of all eigenvalues of a square matrix represent in Linear Algebra?

Consider a diagonal matrix D with diagonal entries 2, 3, and 4. Which of the following statements about its eigenvalues is correct?

The characteristic equation of a matrix A is defined as which of the following?

A 2×2 matrix with eigenvalues λ1 and λ2 has its eigenvectors orthogonally aligned if:

For matrix A = [[2, 1], [1, 1]], which of the following is TRUE about its eigenvalues?

What is the primary role of eigenvalues in a linear transformation?

What are the eigenvalues of a matrix fundamentally related to?