Find a basis for and the dimension of the solution space of the homogeneous system of linear equations 2x3 - 20x4 =0 29x4 9x1 - 4x2 6x2 2x2 2x2 12x1 4x3 = 0 9X4 3x1 3x1 X3 - 9x4 = 0 (a) a basis for the solution space (b) the dimension of the solution space

make clear to answer number of para

solve both (a) and (b)

Find a basis for the solution space of the given homogeneous linear system. 9x3 5x4 X₁ - 3x₂ - 2X1 3x2 12x3- X4 = 0 = X₁ + 2x₂ + X3 + 10x4 0 - = 0 =

Find a basis for and the dimension of the solution space of the homogeneous system of linear equations. −x1  +  2x2  −  x3  +  2x4  =  0 −2x1  +  2x2  +  x3  +  4x4  =  0 3x1  +  2x2  +  2x3  +  5x4  =  0 −9x1  +  14x2  +  8x3  +  29x4  =  0 (a) a basis for the solution space (b) the dimension of the solution space