10.Decide whether each subset of R3 is linearly dependent or linearly independent. (a) } (b){ } (c) } C) 000 0.00 0.0 ()
Posted: Thu May 12, 2022 12:35 pm
10.Decide whether each subset of R3 is linearly dependent or linearly independent. (a) } (b){ } (c) } C) 000 0.00 0.0 () () « 0:00 d) { 12) 11. Which of these subsets of P3 are linearly dependent and which are independent? (a) {3 - x + 9x2,5 - 6x + 3x2, 1 + 1x - 5x²} (b) {-x2,1 +4x) (c) (2+x+7x4, 3 - x + 2x2,4 - 3x) (d) {8 + 3x + 3x? x + 2x²,2 + 2x + 2x²,8 - 2x + 5x2) 12. Determine if each set is linearly independent in the natural space, (a) [12 1 (b) (1 3 1),(-1 4 3), (1 117) () (3) :0 1 2) (8 9 (-7 %)