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Systems of Linear Equations

In: Introduction to Matrix Theory

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  • Arindama Singh

    (Indian Institute of Technology Madras, Department of Mathematics)

Abstract

It is seen that linear independence is central to solving a system of linear equations. Linear independence leads to rank, which is computed by the use of row reduced echelon form. Further use of RREF is made in explaining the Gauss–Jordan elimination method of solving a system of linear equations.

Suggested Citation

  • Arindama Singh, 2021. "Systems of Linear Equations," Springer Books, in: Introduction to Matrix Theory, chapter 0, pages 31-52, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-80481-7_2
    DOI: 10.1007/978-3-030-80481-7_2
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