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Nilanjan Bhowmick AIR 3, CSIR NET (Earth Science)
- CSIR NET
- Mathematical Sciences
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Let V and W be finite-dimensional vector spaces over R and let T: V> V and T: W>Wbe linear transformations whose minimal polynomials are given by 1. S)=*+x+x+ 1 and fx) =-?-2. Let T: VeW>VeW be the linear transformation defined by T(v, w)= (Ti(v), T:(w) for (v, w)e V®W and let f() be the minimal polynomial of 7. Then deg f (x) = 7 . nullity (1)=1. deg fo)=5. A. nullity (7)=0. 1. 3.
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