Mathematical Science Linear Algebra Algebra of Linear Transformations

Let T : ℝ4 → ℝ4 be a linear transformation satisfy T3 + 3T2 = 4I, where I is the identity transformation, then the linear transformation S = T4 + 3T3 - 4I is

1
one-one but not onto
2
onto but not one-one
3
invertible
4
non-invertible
5
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