<?xml version="1.0" encoding="UTF-8"?>
<record
    xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"
    xsi:schemaLocation="http://www.loc.gov/MARC21/slim http://www.loc.gov/standards/marcxml/schema/MARC21slim.xsd"
    xmlns="http://www.loc.gov/MARC21/slim">

  <leader>01293nam a22001937a 4500</leader>
  <controlfield tag="005">20240409082309.0</controlfield>
  <controlfield tag="008">240409b        |||||||| |||| 00| 0 eng d</controlfield>
  <datafield tag="022" ind1=" " ind2=" ">
    <subfield code="a">0025-570X  </subfield>
  </datafield>
  <datafield tag="100" ind1=" " ind2=" ">
    <subfield code="a">Margolis, Benjamin W. L. </subfield>
  </datafield>
  <datafield tag="245" ind1=" " ind2=" ">
    <subfield code="a">Another Geometric Interpretation of Cramer&#x2019;s Rule</subfield>
    <subfield code="b">(Journal Article)</subfield>
  </datafield>
  <datafield tag="260" ind1=" " ind2=" ">
    <subfield code="a">Philadelphia, PA </subfield>
    <subfield code="b">:Taylor &amp; Francis Group </subfield>
    <subfield code="c">, September 2023</subfield>
  </datafield>
  <datafield tag="300" ind1=" " ind2=" ">
    <subfield code="a">455-462p.</subfield>
  </datafield>
  <datafield tag="440" ind1=" " ind2=" ">
    <subfield code="a">Mathematics Magazine </subfield>
    <subfield code="v">Volume 96: Number 4, October 2023</subfield>
  </datafield>
  <datafield tag="505" ind1=" " ind2=" ">
    <subfield code="a">***______{For Hard Copy, Please visit Library.}________***

</subfield>
  </datafield>
  <datafield tag="520" ind1=" " ind2=" ">
    <subfield code="a">Abstract: We develop a geometric interpretation of Cramer&#x2019;s rule as a generalization of projection onto orthogonal basis vectors using the rows of the adjugate. This interpretation makes connections between elementary linear algebra concepts like the solution to linear equations, inner products, and projections. Such connections are useful for introducing broader concepts related to Hilbert spaces and geometric algebras like Grassman algebra. Such connections were essential for the author&#x2019;s mathematical education as an engineer.</subfield>
  </datafield>
  <datafield tag="650" ind1=" " ind2=" ">
    <subfield code="a">geometric interpretation | Cramer&#x2019;s rule | elementary linear algebra|  Grassman algebra</subfield>
  </datafield>
  <datafield tag="856" ind1=" " ind2=" ">
    <subfield code="u">https://doi.org/10.1080/0025570X.2023.2234243</subfield>
  </datafield>
  <datafield tag="942" ind1=" " ind2=" ">
    <subfield code="c">PER</subfield>
  </datafield>
  <datafield tag="952" ind1=" " ind2=" ">
    <subfield code="0">0</subfield>
    <subfield code="1">0</subfield>
    <subfield code="4">0</subfield>
    <subfield code="7">0</subfield>
    <subfield code="a">RIEBPL</subfield>
    <subfield code="b">RIEBPL</subfield>
    <subfield code="d">2024-04-09</subfield>
    <subfield code="l">0</subfield>
    <subfield code="r">2024-04-09 08:23:20</subfield>
    <subfield code="w">2024-04-09</subfield>
    <subfield code="y">PER</subfield>
  </datafield>
  <datafield tag="999" ind1=" " ind2=" ">
    <subfield code="c">45629</subfield>
    <subfield code="d">45628</subfield>
  </datafield>
</record>
