Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the matrix. 0 -3 5 -4 4 -10 4 (a) the characteristic equation (b) the eigenvalues (Enter your answers from smallest to largest.) (2, Ag, Ag) = ( a basis for each of the corresponding eigenspaces X, = X2 = X3 =

(a) (b) and (c) please

-4 -3 Find the eigenvalues of matrix A. 1 & 2 В. -1 & 2 C. 1 & - 2 D. -1 & -2 E. None

Find the matrix A of the quadratic form associated with the equation. 4x² - 6xy - 4y² + 6 = 0 A = 4 -3 P = -3 -4 Find the eigenvalues of A. (Enter your answers as a comma-separated list.) λ = 5, -5 Find an orthogonal matrix P such that PTAP is diagonal. (Enter the matrix in the form [[row 1], [row 2], ...], where each row is a comma-separated list.) [1,0], [0,1]