Problem 6.3 6.3 Linear independence. For each of the following matrices, determi
ID: 3283137 • Letter: P
Question
Problem 6.3 6.3 Linear independence. For each of the following matrices, determine which response is correct. You may not use a computer to answer the questions. 428 973-163 245-784 55 352 869 0 781-128 120 1047 45 -471 349-721 781 are linearly independent. The columns are linearly dependent. .This is not an appropriate question. 768 1121 3125 8023 2095 -9284 5821 -6342 409334907249 8241 831 1428 1392 5835 7383 1435 2345-293] The columns are linearly independent . The columns are linearly dependent This is not an appropriate questionExplanation / Answer
1.
step 1:
428 973 -163 245 -784 557
0 68.78 134.06 579.5 516.79 -338.09
1047 45 -471 349 -721 781
step 2:
428 973 -163 245 -784 557
0 68.78 134.06 579.5 516.79 -338.09
0 -2335.21 -72.26 -250.33 1196.87 -581.57
step 3:
428 973 -163 245 -784 557
0 68.78 134.06 579.5 516.79 -338.09
0 0 4479.49 19426.19 18743.81 -12061.21
step 4 :
428 973 -163 245 -784 557
0 68.78 0 -1.86 -44.15 22.86
0 0 4479.49 19426.19 18743.81 -12061.21
step 5:
428 973 0 951.88 -101.95 118.12
0 68.78 0 -1.86 -44.15 22.86
0 0 4479.49 19426.19 18743.81 -12061.21
step 6:
428 0 0 978.15 522.73 -205.27
0 68.78 0 -1.86 -44.15 22.86
0 0 4479.49 19426.19 18743.81 -12061.21
step 7:
1 0 0 2.29 1.22 -0.48
0 1 0 -0.03 -0.64 0.33
0 0 1 4.34 4.18 -2.69
Therefore the given linear vectors are linearly Dependent.