The effect of the transformation matrix [T]=
[0 0 1
1 0 0 on a two dimensional
-5 2 1]
object is
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Answer:
[0 1 0 -1/2 -5/2 1/2 1 0 0]
Step-by-step explanation:
T =[0 0 1 1 0 0 5 2 1]
T=IT (I is the Identity matrix)
T=[0 0 1 1 0 0 5 2 1]= IT[1 0 0 0 1 0 0 0 1]
R1 ↔R2
[1 0 0 0 0 1 5 2 1] = [0 1 0 1 0 0 0 0 1]
R3 =R3-5R1
[1 0 0 0 0 1 0 2 1 ] =[0 1 0 1 0 0 0 -5 1]
R2 ↔R3
[1 0 0 0 2 1 0 0 1] =[0 1 0 0 -5 1 1 0 0]
R2 =R3-R2
[1 0 0 0 -2 0 0 0 1] = [0 1 0 1 5 -1 1 0 0]
R2 =(-1/2)*R2
[1 0 0 0 1 0 0 0 1] = [0 1 0 -1/2 -5/2 1/2 1 0 0]
Hence, the transformation of matrix is [0 1 0 -1/2 -5/2 1/2 1 0 0]
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