Determine a basis for the kernal and image


Determine a basis for the kernal and image of the following linear maps:

1. T(x,y,z)=(x+2y-z, y+z, x+y-2z)

2. T(x,y,s,t)=(x-y+s+t, x+2s-t, x+y+3s-3t)

3. T(x,y,z)=(x+2y, y-z, x+2z)

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Mathematics: Determine a basis for the kernal and image
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