I 100% + Question 1 (Eigenvalue method) Question 1. Find the general solution of the homogeneous linear system below using the eigenvalue method. 7- (31) 7

Find the matrix A of the quadratic form associated with the equation. бх2 - 5ху - бу?+8 %3D 0 -5/2 A = -5/2 -6 Find the eigenvalues of A. (Enter your answers as a comma-separated list.) 13 13 2 Find an orthogonal matrix P such that P'AP is diagonal. (Enter the matrix in the form [[row 1], [row 2], ...], where each row is a comma-separated list.) [[-5, 1],[1, 5]]| × P =

Use a calculator for: - Finding eigenvalues and eigenvectors. - Matrix multiplication still required to show how you find generalized - Matrix inversion - Row reduction - Integration

Plz complete  solution  with  100% accuracy  don't use chat gpt   I vill definitely  upvote  if I find it correct

Pls help ASAP. Pls show all work and calculations and pls dont miss any steps.

Explain the connection between straight-line solutions, eigenvectors, and the general solution.

Q1 (a) State a suitable numerical method that can be used to determine The largest eigenvalue The smallest eigenvalue (ii)

only handwritten solution accepted

Asap plz handwritten solution acceptable Will definitely upvote

Juestion 6 Consider the following matrix: 1 1 A = |-2 2 -1 -2 If -l is an eigenvalue of A, what is the value for a? • Input your solution in decimal point notation (for example 0.5314)! Do not input results as ratios (for example don't use 7/25)! Do not input results with Turkish "," separator (for example don't use 0,5314)! Your results must be accurate to 4 decimal digits.