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On using elementary column operations C(...

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 :

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
D
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