Determine if the columns of the matrix 0 8 5 3 7 4 7 5 4 1

Determine if the columns of the matrix [0 - 8 5 3 -7 4 7 5 -4 -1 -3 2] form a linearly independent set. Justify your answer.

Solution

Your matrix

Make the pivot in the 1st column by dividing the 1st row by 5

Eliminate the 1st column

Make the pivot in the 2nd column by dividing the 2nd row by -3/5

Eliminate the 2nd column

Solution set:

x1 = 8x3

x2 = 5x3

x3 - free

	X1	X2	X3	b
1	5	-8	0	0
2	4	-7	3	0
3	-4	5	7	0
4	2	-3	-1	0