In each case below, give the 3 x 3 elementary matrix E with the property that left multiplication by E produces the given row operation on an arbitrary 3 xn matrix A. a) Rows 2 and 3 are interchanged. b) Three times row 3 is added to row 1. c) Row 2 is multiplied by 1/5. d) Four times row 2 is subtracted from row 3.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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In each case below, give the 3 x 3 elementary matrix E with the property that left multiplication
by E produces the given row operation on an arbitrary 3 xn matrix A.
a)
Rows 2 and 3 are interchanged.
b)
Three times row 3 is added to row 1.
c)
Row 2 is multiplied by 1/5.
d)
Four times row 2 is subtracted from row 3.
Transcribed Image Text:In each case below, give the 3 x 3 elementary matrix E with the property that left multiplication by E produces the given row operation on an arbitrary 3 xn matrix A. a) Rows 2 and 3 are interchanged. b) Three times row 3 is added to row 1. c) Row 2 is multiplied by 1/5. d) Four times row 2 is subtracted from row 3.
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