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Linear Algebra (MTH501)

Question (select most suitable option)

  If T be a transformation, then which of the following is true for its linearity?
\( T(cu^r \, gdv^r) = cT(u^r) gd T(v^r) ; \;\;\;\; \) whre 'c' and 'd' are scalars
\( T(cu^r + dv^r) = cT(u^r) + dT(v^r); \;\;\;\; \) whre 'c' and 'd' are scalars
\( T(cu^r × dv^r) = cT(u^r) × dT(v^r); \;\;\;\; \) whre 'c' and 'd' are scalars
\( T(cu^r + dv^r) = dT(u^r) + cT(v^r); \;\;\;\; \) whre 'c' and 'd' are scalars
         
                             

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