Question

10.Linear Independence: Problem 2 Previous Problem Problem List Next Problem 01-4 -411 (1 point) Are the vectors لیلا بل linearly independent? tunno 5 | 5 1-3]| o 1-4) Choose If they are linearly dependent, find scalars that are not all zero such that the equation below is true. If they are linearly independent, find the only scalars that will make the equation below true.

Answer 1

-4 U U oor. -4 -47 Giren set of rectors I [5] 1- 3 0 ] [14] Linearly independent they have nen --Zoro determinant. Now, 10 -4 -4 21 1-4 -3 5 -3 15 5 5 15--41 . 41-4 5-31-41-4 -3 -31-21-4 -3 51 5 5 5 5 5 5 5 5 o -41 15-3 -4 5-3 ol = 41-44-20-0)-51-20-51-310-261] -47-41-20 +3)+36-20-5)-31-15-25)] -2[-410+15) + 310-25) + 51-15-25)] 4 (80 + 125 +75) - 4168 - 751120)-26-60-75-2001 = (4 * 280) - 14% 113) -12% (-335) = 1920 - 452 + 6:10 = 1398 +0. As determinant is non-zero so they are linearly independent. Answer: Yes As the reators are Ringarly independent so only linear Combination that upto Lero is all Cocicients arc Zero. Hence, To 5-14] 5-47 2,127.01 +0-3+01511071-3 = 10 5 ปี 0 เด out of

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