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Vijay posted an Question
May 02, 2021 • 20:17 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Please send the solution to the problem given in the attachment.

2 Answer(s) Answer Now
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  • 4 Comments
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    Gattu uday

    If rank of matrix = order of the matrix then the nullity is 0 then we say the matrix is bijective , if it is Bijective ,hence The statement is correct , nd We can say if a matrix rank is n iff it is non singular iff its Eigen value can't be zero iff its determinant can't be zero ,like this we can have many ...☺️

  • Alka gupta

    if matrix is non singular that is det(A) not equal to zero then inverse of A exist

  • Alka gupta best-answer

    bijective word use in case of function....Matrix is not a function it is arrangment of elements in rectangular array....so here we use " singular" and " non singular"

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    Deepak singh 1 best-answer

    if a Linear transformation T is bijective then inverse exist , converse is also true .

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    how matrix is bijective .?

    eduncle-logo-app

    haha 😂, Matrix embodies Linear transformation, in that way.

    eduncle-logo-app

    yes , let A be associated matrix of a Linear transformation T , then Linear transformation T is bijective iff A is invertible . This is correct statement .

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