Question: Suppose A is regular. (a) Show that the matrix obtained by multiplying each column of A by the sign of its pivot is also regular

Suppose A is regular.
(a) Show that the matrix obtained by multiplying each column of A by the sign of its pivot is also regular and, moreover, has all positive pivots.
(b) Show that the matrix obtained by multiplying each row of A by the sign of its pivot is also regular and has all positive pivots.
(c) Check these results in the particular case

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a Let u 11 u nn be the pivots of A ie the diagonal entries of U Let D be the diagonal matrix who... View full answer

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