Deepak patra Asked a Question
October 18, 2021 2:03 pmpts 30 pts
Let U, V and W be finite dimensional real vector spaces, T:U> V,S : V> W and P: W+U be linear transformations. If range (ST) = nullspace (P), nullspace (ST) = range (P) and rank(T) = rank(S), then which one of the following is TRUE? (A) nullity of T = nullity of S (B) dimension of U # dimension of W (C)If dimension of V =3, dimension of U = 4, then P is not identically zero (D) If dimension of V =4, dimension of U = 3 and T is one-one, then P is identically zero
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  • Deepak singh 1 thankyou
    Refer attachment option c
    • cropped2719909029495923902.jpg
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