5 votes 5 votes Linear Algebra linear-algebra + – Lakshman Bhaiya asked Jan 12, 2018 Lakshman Bhaiya 327 views answer comment Share Follow See all 2 Comments See all 2 2 Comments reply Akshay Koli 4 commented Jan 12, 2018 reply Follow Share yes only statement 1 is true k1[1 1 1] + k2[1 -2 1] + k3[3 -3 0] as k1, k2 and k3 is equal to 0 are the only values, which satisfy these, so the given set is linearly independent 0 votes 0 votes Shubhanshu commented Jan 12, 2018 reply Follow Share @Akshay Koli 4 what about Orthogonality of Vectors? Vector 1 and 2 are orthogonal AND Vector 1 and 3 are orthogonal BUT Vector 2 and 3 are not orthogonal. That's why Vector 1, 2 and 3 are not orthogonal. ryt? 0 votes 0 votes Please log in or register to add a comment.
0 votes 0 votes $\begin{vmatrix} 1 & 1& 1\\ 1 & -2 & 1\\ 3 & -3 & 0 \end{vmatrix} = 9\neq 0$ Hence Linearly Independent for pairwise orthogonal 1*3+(-2*-3)+0=9 $\neq 0$ hence not pairwise orthogonal Neeraj Chandrakar answered Jan 21, 2018 Neeraj Chandrakar comment Share Follow See all 0 reply Please log in or register to add a comment.