題組內容
2. (50%) Given the following linear system:
$$2x1 - 3x2 + x_3 = 3$$
$$x1 - 2x2 + x_3 = -1$$
$$x1 - 3x2 + 2x_3 = 4$$
(i) For each eigenvalue, find the basis for the corresponding eigenspace.
2. (50%) Given the following linear system:
$$2x1 - 3x2 + x_3 = 3$$
$$x1 - 2x2 + x_3 = -1$$
$$x1 - 3x2 + 2x_3 = 4$$
(i) For each eigenvalue, find the basis for the corresponding eigenspace.