Mathematics, 16.03.2020 16:30 lanman65
Let A be a lower triangular ntimesn matrix with nonzero entries on the diagonal. Show that A is invertible and Upper A Superscript negative 1 is lower triangular. [Hint: Explain why A can be changed into I using only row replacements and scaling. (Where are the pivots?) Also, explain why the row operations that reduce A to I change I into a lower triangular matrix.]
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Let A be a lower triangular ntimesn matrix with nonzero entries on the diagonal. Show that A is inve...
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