Find a basis of the subspace of IR³ spanned by the following vectors: 3 -3 3 -3 Answer: -3 6 -9 4 2 -6 10 -2 -4 5 -8 3 -3 -2 6 -9 3 -3 -2 6 -9

Find a basis for the solution space of the given homogeneous linear system. X1- 2x2 - 7x3 = 0 2x1 -3x2-16x3 = 0 A basis for the solution space of the given homogeneous linear system is { }. (Use a comma to separate vectors as needed.)

Find a basis for the solution space of the given homogeneous linear system. X4- 2x2 + 16x3 = 0 2x, 3x2 + 23x3 = 0 A basis for the solution space of the given homogeneous linear system is { }. (Use a comma to separate vectors as needed.)

Of the five vectors below: ст со со ст which ones will form a basis for the subspace spanned by all the five vectors? O The first and the fourth vector. 833 O O The first three vectors. O The first and the third vecto O The first and the second vector. O The first, third and the last vector. O The first vector. (