Problem 1. (5 pt) CSCI-3310 Homework 4 2 A 4 = 1212 3] 4 (1)Manually find the eigenvalues and eigenvectors of the matrix A andB = AT A. (2) The rank of a matrix is defined as the number ofindepende \[ A=\left[\begin{array}{ll} 1 & 2 \\ 2 & 4 \end{array}\right] \] (1) Manually find the eigenvalues and eigenvectors of the matrix \( A \) and \( B=A^{T} A \). (2) The rank of a matrix is defined as t 1 answer