Consider the variation of Gauss-Jordan elimination in which zeros are introduced above and below a leading 1 as soon as it is obtained, and let

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Consider the variation of Gauss-Jordan elimination in which zeros are introduced above and below a leading 1 as soon as it is obtained, and let A be an invertible n × n matrix. Show that to solve a linear system Ax = b using this version of Gauss-Jordan elimination requires
n3/2 + n2/2 multiplications and n3/2 - n/2 additions

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