Need help with a and b The entries of A are aij. Assuming that zeros don't appear. what is(a) the first pivot?(b) the multiplier l31 in order to make entry in row 1 column 3 zero?(c) the new entry that replaces a32 after that subtraction?(d) The second pivot?

Answered: The entries of A are aij. Assuming that…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Need help with a and b

The entries of A are aij. Assuming that zeros don't appear. what is
(a) the first pivot?
(b) the multiplier l31 in order to make entry in row 1 column 3 zero?
(c) the new entry that replaces a32 after that subtraction?
(d) The second pivot?

Expert Solution

Step 1

$A = [a_{i j}] w h e r e a_{i j} \neq 0 w e r e d u c e A i n r o w r e d u c e d e c h e l o n f o r m f i r s t p i v o t e l e m e n t i s a_{11} b a c a u s e e v e r y e l e m n t s i n A i s n o n z e r o, s o w e m a k e a_{11} a s p i v o t e l e m e n t s i n e c h e l o n f o r m$

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