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   <h1 class="likepartHead"><a 
 id="x15-19000"></a>Part C&#x00A0;&#x00A0;Core</h1>
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</p>
   <div class="likechapterTOCS">
   <span class="likechapterToc" ><a 
href="fcla-xml-2.02li15.xml#x16-20000">Chapter SLE Systems of Linear Equations</a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li16.xml#x17-21000">Section WILA What is Linear Algebra?</a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li17.xml#x18-27000">Section SSLE Solving Systems of Linear Equations</a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li18.xml#x19-34000">Section RREF Reduced Row-Echelon Form</a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li19.xml#x20-41000">Section TSS Types of Solution Sets</a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li20.xml#x21-47000">Section HSE Homogeneous Systems of Equations</a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li21.xml#x22-53000">Section NM Nonsingular Matrices</a></span>
<br />   <span class="likechapterToc" ><a 
href="fcla-xml-2.02li22.xml#x23-60000">Chapter V Vectors</a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li23.xml#x24-61000">Section VO Vector Operations</a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li24.xml#x25-67000">Section LC Linear Combinations</a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li25.xml#x26-74000">Section SS Spanning Sets</a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li26.xml#x27-80000">Section LI Linear Independence</a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li27.xml#x28-87000">Section LDS Linear Dependence and Spans</a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li28.xml#x29-93000">Section O Orthogonality</a></span>
<br />   <span class="likechapterToc" ><a 
href="fcla-xml-2.02li29.xml#x30-103000">Chapter M Matrices</a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li30.xml#x31-104000">Section MO Matrix Operations</a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li31.xml#x32-113000">Section MM Matrix Multiplication</a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li32.xml#x33-122000">Section MISLE Matrix Inverses and Systems of Linear Equations</a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li33.xml#x34-129000">Section MINM Matrix Inverses and Nonsingular Matrices</a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li34.xml#x35-135000">Section CRS Column and Row Spaces</a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li35.xml#x36-143000">Section FS Four Subsets</a></span>
<br />   <span class="likechapterToc" ><a 
href="fcla-xml-2.02li36.xml#x37-152000">Chapter VS Vector Spaces</a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li37.xml#x38-153000">Section VS Vector Spaces</a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li38.xml#x39-161000">Section S Subspaces</a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li39.xml#x40-168000">Section LISS Linear Independence and Spanning Sets</a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li40.xml#x41-175000">Section B Bases</a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li41.xml#x42-183000">Section D Dimension</a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li42.xml#x43-191000">Section PD Properties of Dimension</a></span>
                                                                          

                                                                          
<br />   <span class="likechapterToc" ><a 
href="fcla-xml-2.02li43.xml#x44-200000">Chapter D Determinants</a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li44.xml#x45-201000">Section DM Determinant of a Matrix</a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li45.xml#x46-208000">Section PDM Properties of Determinants of Matrices</a></span>
<br />   <span class="likechapterToc" ><a 
href="fcla-xml-2.02li46.xml#x47-216000">Chapter E Eigenvalues</a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li47.xml#x48-217000">Section EE Eigenvalues and Eigenvectors</a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li48.xml#x49-226000">Section PEE Properties of Eigenvalues and Eigenvectors</a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li49.xml#x50-232000">Section SD Similarity and Diagonalization</a></span>
<br />   <span class="likechapterToc" ><a 
href="fcla-xml-2.02li50.xml#x51-241000">Chapter LT Linear Transformations</a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li51.xml#x52-242000">Section LT Linear Transformations</a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li52.xml#x53-252000">Section ILT Injective Linear Transformations</a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li53.xml#x54-261000">Section SLT Surjective Linear Transformations</a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li54.xml#x55-270000">Section IVLT Invertible Linear Transformations</a></span>
<br />   <span class="likechapterToc" ><a 
href="fcla-xml-2.02li55.xml#x56-280000">Chapter R Representations</a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li56.xml#x57-281000">Section VR Vector Representations</a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li57.xml#x58-288000">Section MR Matrix Representations</a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li58.xml#x59-295000">Section CB Change of Basis</a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li59.xml#x60-303000">Section OD Orthonormal Diagonalization</a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li60.xml#x61-308000">Section NLT Nilpotent Linear Transformations</a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li61.xml#x62-312000">Section IS Invariant Subspaces</a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li62.xml#x63-316000">Section JCF Jordan Canonical Form</a></span>
<br />   <span class="likechapterToc" ><a 
href="fcla-xml-2.02li63.xml#x64-321000">Appendix CN Computation Notes</a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li64.xml#x65-322000">Section MMA Mathematica</a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li65.xml#x66-333000">Section TI86 Texas Instruments 86</a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li66.xml#x67-338000">Section TI83 Texas Instruments 83</a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li67.xml#x68-342000">Section SAGE SAGE: Open Source Mathematics Software</a></span>
<br />   <span class="likechapterToc" ><a 
href="fcla-xml-2.02li68.xml#x69-351000">Appendix P Preliminaries</a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li69.xml#x70-352000">Section CNO Complex Number Operations</a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li70.xml#x71-356000">Section SET Sets</a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li71.xml#x72-359000">Section PT Proof Techniques</a></span>
<br />   <span class="likechapterToc" ><a 
href="fcla-xml-2.02li72.xml#x73-377000">Appendix A Archetypes</a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li73.xml#x74-378000">Archetype A </a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li74.xml#x75-380000">Archetype B </a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li75.xml#x76-382000">Archetype C </a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li76.xml#x77-384000">Archetype D </a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li77.xml#x78-386000">Archetype E </a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li78.xml#x79-388000">Archetype F </a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li79.xml#x80-390000">Archetype G </a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li80.xml#x81-392000">Archetype H </a></span>
                                                                          

                                                                          
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li81.xml#x82-394000">Archetype I </a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li82.xml#x83-396000">Archetype J </a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li83.xml#x84-398000">Archetype K </a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li84.xml#x85-400000">Archetype L </a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li85.xml#x86-402000">Archetype M </a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li86.xml#x87-404000">Archetype N </a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li87.xml#x88-406000">Archetype O </a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li88.xml#x89-408000">Archetype P </a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li89.xml#x90-410000">Archetype Q </a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li90.xml#x91-412000">Archetype R </a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li91.xml#x92-414000">Archetype S </a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li92.xml#x93-416000">Archetype T </a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li93.xml#x94-418000">Archetype U </a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li94.xml#x95-420000">Archetype V </a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li95.xml#x96-422000">Archetype W </a></span>
<br />   &#x00A0;<span class="likesectionToc" ><a 
href="fcla-xml-2.02li96.xml#x97-424000">Archetype X </a></span>
<br />   <span class="likechapterToc" ><a 
href="fcla-xml-2.02li97.xml#x98-426000">Appendix GFDL GNU Free Documentation License</a></span>
<br />   &#x00A0;<span class="sectionToc" ><a 
href="fcla-xml-2.02li97.xml#Q1-98-427">1. APPLICABILITY AND DEFINITIONS</a></span>
<br />   &#x00A0;<span class="sectionToc" ><a 
href="fcla-xml-2.02li97.xml#Q1-98-428">2. VERBATIM COPYING</a></span>
<br />   &#x00A0;<span class="sectionToc" ><a 
href="fcla-xml-2.02li97.xml#Q1-98-429">3. COPYING IN QUANTITY</a></span>
<br />   &#x00A0;<span class="sectionToc" ><a 
href="fcla-xml-2.02li97.xml#Q1-98-430">4. MODIFICATIONS</a></span>
<br />   &#x00A0;<span class="sectionToc" ><a 
href="fcla-xml-2.02li97.xml#Q1-98-431">5. COMBINING DOCUMENTS</a></span>
<br />   &#x00A0;<span class="sectionToc" ><a 
href="fcla-xml-2.02li97.xml#Q1-98-432">6. COLLECTIONS OF DOCUMENTS</a></span>
<br />   &#x00A0;<span class="sectionToc" ><a 
href="fcla-xml-2.02li97.xml#Q1-98-433">7. AGGREGATION WITH INDEPENDENT WORKS</a></span>
<br />   &#x00A0;<span class="sectionToc" ><a 
href="fcla-xml-2.02li97.xml#Q1-98-434">8. TRANSLATION</a></span>
<br />   &#x00A0;<span class="sectionToc" ><a 
href="fcla-xml-2.02li97.xml#Q1-98-435">9. TERMINATION</a></span>
<br />   &#x00A0;<span class="sectionToc" ><a 
href="fcla-xml-2.02li97.xml#Q1-98-436">10. FUTURE REVISIONS OF THIS LICENSE</a></span>
<br />   &#x00A0;<span class="sectionToc" ><a 
href="fcla-xml-2.02li97.xml#Q1-98-437">ADDENDUM: How to use this License for your documents</a></span>
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