If v1=(1,1,1);v2=(0,1,1);v3=(0,x,1) are linearly dependent vectors in R3 find the value for x6?
x=1
Step 1 :Form the matrix with the given vectors as columns and find its determinant: |10011x111|
Step 2 :Calculate the determinant: (1)(1−1)−(0)(1−x)+(0)(x−1)=0
Step 3 :x=1