Ankur posted an Question
June 22, 2020 • 15:44 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Prove that the set of matrices of the form a,be c is a skew field for matrix addition and multiplication. is it a field?

Prove that the set of matrices of the form a,be C is a skew field For matrix addition and multiplication. Is it a field? please solve fast.

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  • Kiran goswami best-answer

    skew field(division ring) division ring = A ring with unity and every nonzero element is a unit(have inverse). but field = is a commutative ring with unity in witch every nonzero element is a unit(have inverse). But matrix multiplication is not commutative so it is not a field but it is a skew field.

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