6. Show that the points P(1, 2, 4), Q(-1, 0,3), R(-2, -4,1), S(-3,-2, 2) lie in...

  

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6. Show that the points P(1, 2, 4), Q(-1, 0,3), R(-2, -4,1), S(-3,-2, 2) lie in the same plane. 7. Find the standard matrix for the linear transformation T: R2 R2 given that T(1,2)=(1,6), T(2, 1) = (1,4). 8. Given the vectors = (1,2,3,4), 2 = (1, 0, 1, 4), 3 = (2, 1, 0, 3), =(-1,2,-3, 4), find a basis of the subspace of R spanned by 4 = (1, 1, 2, 6), 1, 2, 3, 4, 5. 6. Show that the points P(1, 2, 4), Q(-1, 0,3), R(-2, -4,1), S(-3,-2, 2) lie in the same plane. 7. Find the standard matrix for the linear transformation T: R2 R2 given that T(1,2)=(1,6), T(2, 1) = (1,4). 8. Given the vectors = (1,2,3,4), 2 = (1, 0, 1, 4), 3 = (2, 1, 0, 3), =(-1,2,-3, 4), find a basis of the subspace of R spanned by 4 = (1, 1, 2, 6), 1, 2, 3, 4, 5.