Linear algebra

Determine the characteristic values of the given matrix and find the corresponding vectors: [ 2 -2 1 ] [ 1 -1 1 ] [ -3 2 -2 ]

linear algebra

Please show all work; don't explain each step. Please DON'T submit back as an attachment.Thank you. If A is nonsingular, show that the characteristic values of A^(-1) are the reciprocals of A, and that A and A^(-1) have the same characteristic vectors

linear algebra

Please show all work; don't explain each step. Please DON'T submit back as an attachment.Thank you. Verify that the given functions form a basis for the space of solutions of the given differential equation: x^2 y'' - 2xy' + 2y = 0, f_1(x) = x, f_2(x) = x^2, x > 0

differential equation

Please show all work; don't explain each step. Please DON'T submit back as an attachment.Thank you. For the following differential equation find all numbers r, real and complex, such that e^(rx) is a solution; find two linearly independent real solutions: (D^2 - 3D + 2) y = 0

Differential equation

Find the general solution of the differential equation: y'' + 2y' = 0