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 be a vector space of all 2x2 real square matrices over field . Let W be a subspace of 
let W is span by the set  be a fixed matrix.
Let  be a L.T. defined by   then the rank of T is _______.
 
    Correct answer is '2'. Can you explain this answer?
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    be a vector space of all 2x2 real square matrices over field . Let Wbe...
    Here V3 = V2 - 2V1
    => {V1, V2} be a L.l. set ⇒ { V1, V2} be a basis for W => dim W = 2 Now To find Rank T i.e. dim R(T). we firstly find the spanning set for R(T).as

    Here {w1, w2} be a spanning set for R(T) which is L.l. => if form a basis for R(T) => dim R(T) = 2 = Rank T
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    be a vector space of all 2x2 real square matrices over field . Let Wbe...
    Here V3 = V2 - 2V1
    => {V1, V2} be a L.l. set ⇒ { V1, V2} be a basis for W => dim W = 2 Now To find Rank T i.e. dim R(T). we firstly find the spanning set for R(T).as

    Here {w1, w2} be a spanning set for R(T) which is L.l. => if form a basis for R(T) => dim R(T) = 2 = Rank T
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    be a vector space of all 2x2 real square matrices over field . Let Wbe a subspace oflet W is span by the setbe afixed matrix.Letbe a L.T. defined bythen the rank of T is _______.Correct answer is '2'. Can you explain this answer?
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