Given the vectors v1=(1,0,1)v_1 = (1, 0, 1)v1=(1,0,1), v2=(1,1,0)v_2 = (1, 1, 0)v2=(1,1,0), v3=(0,1,1)v_3 = (0, 1, 1)v3=(0,1,1). Are they linearly independent in R3\mathbb{R}^3R3?
Yes, they are linearly independent
No, they are linearly dependent
The determinant of the matrix formed by these vectors is 222
The determinant of the matrix formed by these vectors is −2-2−2