Suppose elimination fails because there is no pivot in column 3: Missing pivot A = 2 1 4

Chapter 1, Problem 1.6.9

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Suppose elimination fails because there is no pivot in column 3: Missing pivot A = 2 1 4 6 0 3 8 5 0 0 0 7 0 0 0 9 Show that A cannot be invertible. The third row of A1, multiplying A, should give the third row [0 0 1 0] of A 1A = I. Why is this impossible?

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