homogeneous systems

Suppose R and R’ are 2 × 3 row-reduced echelon matrices and that the systems RX = 0 and R’X = 0 have exactly the same solutions. Prove that R = R’.

Algebra 1.We say that two matrices A and B are row-equivalent if one can be obtained from the other by a finite sequence of elementary row operation. Show that if A and B are row-equivalent matrices, then the homogeneous systems of linear equations Ax = 0 and Bx = 0 have exactly same solutions. Suppose […]

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