Mukesh Bhakar posted an Question
January 10, 2022 • 14:23 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Ute 7. let v, =1 1 and v, =|1|. let m be the matrix whose columns are , v2,2 -v2.v +2v, in that order. then the number of linearly independent solutions of the

ute 7. Let v, =1 1 and v, =|1|. Let M be the matrix whose columns are , V2,2 -V2.V +2v, in that order. Then the number of linearly independent solutions of the homogeneous system of linear equation Mr=0 is.. ****"******

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    Piyush pachauri best-answer

    Since No of linearly independent columns of M are 2 which implies rank of M is 2. Nullity of M = 4-2 = 2.(As M is 3×4 matrix so M:R^4 to R^3 as transformation) So no of Linearly independent solution are 2.(dimension of null space)

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