0 votes 0 votes Isn’t the “No of independent rows”= RAnk of matrix? Linear Algebra zeal + – DAWID15 asked Jan 8, 2023 DAWID15 595 views answer comment Share Follow See all 9 Comments See all 9 9 Comments reply Show 6 previous comments samarpita commented Jan 14, 2023 reply Follow Share @DebRC free and independent variable are same. 1 votes 1 votes DebRC commented Jan 14, 2023 reply Follow Share @samarpita fixed 0 votes 0 votes Chandrabhan Vishwa 1 commented Jan 14, 2023 reply Follow Share if rank of the matrix is R and N is the order of the matrix then in this matrix N-R indpendent vector exist or independent solution exist 1000-640=360 0 votes 0 votes Please log in or register to add a comment.
1 votes 1 votes Number of Linearly Independent columns = Rank Number of Linearly Independent solutions = Nullity Here n = 1000 rank = 640 Therefore number of free columns/ nullity = 1000-640 = 360 = Number of independent solutions. chokostar answered Apr 5, 2023 chokostar comment Share Follow See all 0 reply Please log in or register to add a comment.