Find the rank of matrix using echelon form
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Find the rank of the matrix by reducing to echelon form A = ⎛ ⎜ ⎝ 1 1 1 1 1 3 − 2 1 2 0 − 3 2 ⎞ ⎟ ⎠Read more on Sarthaks.com - https://www.sarthaks.com/864970/find-the-rank-of-the-matrix-by-reducing-to-echelon-form-a-1-1-1-1-1-3-2-1-2-0-3-2
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The maximum number of linearly independent vectors in a matrix is equal to the number of non-zero rows in its row echelon matrix. Therefore, to find the rank of a matrix, we simply transform the matrix to its row echelon form and count the number of non-zero rows
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