Teaching MPPSC Assistant Professor Mock Test Series 2025 Mathematical Science Linear Algebra Algebra of Linear Transformations
Let T : R4 → R4 and S be a linear transformation satisfy T3 + 3T2 = 4I, S = T4 + 3T3 – 4I where I is the identity. Then S is
1
one-one but not onto
2
onto but not one-one
3
invertible
4
non-invertible