Question: Let T :^4 ^3 , T ( x, y,z )= ( x +2y , y +z +w ,2z - w ) be a linear transformation.

Let T :^4 ^3 , T ( x, y,z )= ( x +2y , y +z +w ,2z - w ) be a linear transformation.

a) A basis for the Ker T, is.

b) Dimension Ker T, is.

c) Using the dimension theorem, the Nullity of T is.

d) Is T injective? Justify.

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