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Interchange of two rows can be accomplished by elementary row operations of other types


Solution to Linear Algebra Hoffman & Kunze Chapter 1.3 Exercise 1.3.7

Solution: Write the matrix as
[R1R2R3Rn].WOLOG we’ll show how to exchange rows R1 and R2. First add R2 to R1:
[R1+R2R2R3Rn].Next subtract row one from row two:
[R1+R2R1R3Rn].Next add row two to row one again
[R2R1R3Rn].Finally multiply row two by 1:
[R2R1R3Rn].


Linearity

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