0 votes 0 votes The system of equations 3x1 – 12x2 + 6x3 + 9x4 = 0, 6x1 + 9x2 + 21x3 + 3x4 = 0, 3x1 + 27x2 + 6x3 = 0, –3x2 + 3x4 = 0 has (1) An unique solution (2) Infinite number of solutions (3) No solution (4) Exactly four solutions Mathematical Logic linear-algebra + – vishwa ratna asked Jan 19, 2017 vishwa ratna 379 views answer comment Share Follow See all 5 Comments See all 5 5 Comments reply Show 2 previous comments santhoshdevulapally commented Jan 19, 2017 reply Follow Share it is homogeneous equation so no possibility of no solution. Determinant of 4x4 matrix is non zero and no of variables=4,so system having unique solution. Here Rank(A)=No of variables=4. 0 votes 0 votes vishwa ratna commented Jan 19, 2017 reply Follow Share I guess so, I also found rank =4 , so probably key is wrong. 0 votes 0 votes santhoshdevulapally commented Jan 19, 2017 reply Follow Share yes. 0 votes 0 votes Please log in or register to add a comment.