Question

31.7.7 Determine if the columns of the matrix form a linearly independent set 13 -3 4 273 -1 28 3-19 Select the correct choice below and fill in the answer box to complete your choice 100 50 The columns are not linearly independent because the reduced row echelon form of T A o is 0 10 0 0 0 0 1 3 0 o B. The columns are linearly independent because the reduced row echelon form of [ A 0 ] is

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Answer 1

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OPTION B IS CORRECT THEY ARE LINEARLY INDEPENDENTSINCE THERE IS NO PARTICULAR ZERO ROW IN RREF FORM

OPTION B IS CORRECT THEY ARE LINEARLY INDEPENDENT SINCE THERE IS NO PARTICULAR ZERO ROW IN RREF FORM Row Operation 1: [1 2 2 3 7 8 -3 -3 3 4 -1 -19 0 0 0] add -2 times the 1st row to the 2nd row [1 0 2 3 1 8 -3 3 3 4 -9 -19 0 0 0] Row Operation 2: [1 0 2 3 1 8 -3 3 3 4 -9 -19 0 0 0] add -2 times the 1st row to the 3rd row [1 0 0 3 1 2 -3 3 9 4 -9 -27 0 0 0] Row Operation 3: [1 0 0 3 1 2 -3 3 9 4 -9 -27 0 0 0] add -2 times the 2nd row to the 3rd row [1 0 0 3 1 0 -3 3 3 4 -9 -9 0 0 0] Row Operation 4: [1 0 0 3 1 0 -3 3 3]

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