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The columns make up the transformed basis And by simply lining them up in a specific order mind the rows just happen to form vectors that are orthogonal to the kernel This is the
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A simple question By definition does an m x n matrix have m rows and n columns or is it vice versa
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If the rows of a matrix are not linearly independent can be expressed as linear combination of the other rows of the matrix then the determinant is 0 One interpretation of the determinant is how it dilates
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The book refers to it as aij for entries not Rij but I was confused by what R meant so what I take from this is that in the format aij rij or whatever the first letter is the matrix and the
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2 In m n m n matrix the maximum number of independent rows or columns possible is the order of the largest square you can get from it If m n m n then order of the largest square is n
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How does permuting rows and columns change the eigenvectors of a matrix Ask Question Asked 4 years 10 months ago Modified 4 years 10 months ago
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Swaping rows does not impact column sums If you swap positions of numbers 5 and 15 the column with number 5 in it will have sum equal to 26 There is no column with sum 26 in the
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The columns of a square matrix are linearly independent if and only if its rows are linearly independent I came across the above observation so set out to prove disprove it
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What I would like is a clean notation to denote either rows or columns which still associates the rows columns with mathbf A I thought of mathbf A l and mathbf A
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