There is only one answer because T is a linear transformation from V onto W.
Therefore the rank of T (or range of T) has to be 4.
Rank(T) + Nullity (T) = dimension of the domain of T (Where V supplies the domain with a dimension of 6).
And then you get Nullity (T) = 2 = dimension of Ker (T)...
This is another method I came up with that I believe is faster.
X = 2W + L; where X is a constant.
which can also be rewritten as:
L = -2W + X; Think of this as y=mx+b (so L-axis is y-axis and W-axis is x-axis)
X is L-intercept) and 2W is the W-intercept)
Then the max of a...