On usign elementry column operation `C_(2)rArrC_(2)-2C_(1)` in the following matrix equation `[{:(1,-3),(2,4):}]=[{:(1,01),(0,1):}][{:(3,1),(2,4):}]`
On usign elementry column operation `C_(2)rArrC_(2)-2C_(1)` in the following matrix equation `[{:(1,-3),(2,4):}]=[{:(1,01),(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),(-0,2):}]`
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):}]`
1 Answers
Given that `[{:(1,-3),(2,4):}]=[{:(1,-1),(0,1):}][{:(3, 1),(2,4):}]`
On using `C_(2)rArrC_(2)-2C_(v)[{:(1,-5),(2,0):}]=[{:(1,-1),(0,1):}][{:(3,-5),(2,0):}]`
Since on using elemen tary column operation on x=AB , we apply these operations simultaneously on X and on the second matrix B of the product AB on RHS.