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Show that two matrices A=[(1,-1,0),(2,...

Show that two matrices
`A=[(1,-1,0),(2,1,1)]` and `B=[(3,0,1),(0,3,1)]` are row equivalent.

Text Solution

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In matrix A, applying `R_(1) rarr R_(1)+R_(2)`, we get
`E_(1)=[(3,0,1),(2,1,1)]`
In `E_(1)`, applying `R_(2) rarr 3R_(2)`, we get
`E_(2)=[(3,0,1),(6,3,3)]`
In `E_(2)`, applying `R_(2) rarr R_(2) -2R_(1)`, we get
`E_(3)=[(3,0,1),(0,3,1)]=B`
Thus, A and B are row equivalent.
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