1.

On using elementary column operations C_(2)toC_(2)-2C_(1) in the following matrix equation [{:(1,-3),(2,4):}]=[{:(1,-1),(0,1):}]*[{:(3,1),(2,4):}] we have :

Answer»

`[{:(1,-5),(0,4):}]=[{:(1,-1),(-2,2):}]*[{:(3,-5),(2,0):}]`
`[{:(1,-5),(0,4):}]=[{:(1,-1),(0,1):}]*[{:(3,-5),(2,0):}]`
`[{:(1,-5),(2,0):}]=[{:(1,-3),(0,1):}]*[{:(3,1),(-2,4):}]`
`[{:(1,-5),(2,0):}]=[{:(1,-1),(0,1):}]*[{:(3,-5),(2,0):}]`

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