On row rank equal column rank

• Autores: Parviz Khalili
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 40, Nº. 3, 2009, págs. 405-407
• Idioma: inglés
• DOI: 10.1080/00207390802357273
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• Resumen

  • We will prove a well-known theorem in Linear Algebra, that is, for any m × n matrix the dimension of row space and column space are the same. The proof is based on the subject of elementary matrices and reduced row-echelon form of a matrix.