Find a basis for the solution space of the following

Last updated: 8/9/2022

Find a basis for the solution space of the following homogeneous linear system of equations. Write the dimension of each solution space. x1 + x2 - 3x3 + x4 + x5 = 0 x1 + 3x2 + 2x3 - 2x4 + x5 = 0 2x1+ 5x2 - x4 + 2x5 = 0