This is pdfTeX, Version 3.14159-0.12l (MiKTeX 1.11) (preloaded format=latex 98.9.10) 24 MAR 1999 10:50 **&pdflatex \pdfoutput=1 \pdfpagewidth=210mm \pdfpageheight=297mm \input test2a nswers.tex (test2answers.tex (latex209.def File: latex209.def 1998/05/13 v0.52 Standard LaTeX file Entering LaTeX 2.09 COMPATIBILITY MODE ************************************************************* !!WARNING!! !!WARNING!! !!WARNING!! !!WARNING!! This mode attempts to provide an emulation of the LaTeX 2.09 author environment so that OLD documents can be successfully processed. It should NOT be used for NEW documents! New documents should use Standard LaTeX conventions and start with the \documentclass command. Compatibility mode is UNLIKELY TO WORK with LaTeX 2.09 style files that change any internal macros, especially not with those that change the FONT SELECTION or OUTPUT ROUTINES. Therefore such style files MUST BE UPDATED to use Current Standard LaTeX: LaTeX2e. If you suspect that you may be using such a style file, which is probably very, very old by now, then you should attempt to get it updated by sending a copy of this error message to the author of that file. ************************************************************* \footheight=\dimen102 \@maxsep=\dimen103 \@dblmaxsep=\dimen104 \@cla=\count79 \@clb=\count80 \mscount=\count81 (tracefnt.sty Package: tracefnt 1997/05/29 v3.0j Standard LaTeX package (font tracing) \tracingfonts=\count82 LaTeX Info: Redefining \selectfont on input line 139. ) \symbold=\mathgroup4 \symsans=\mathgroup5 \symtypewriter=\mathgroup6 \symitalic=\mathgroup7 \symsmallcaps=\mathgroup8 \symslanted=\mathgroup9 LaTeX Font Info: Redeclaring math alphabet \mathbf on input line 331. LaTeX Font Info: Redeclaring math alphabet \mathsf on input line 332. LaTeX Font Info: Redeclaring math alphabet \mathtt on input line 333. LaTeX Font Info: Redeclaring math alphabet \mathit on input line 339. LaTeX Info: Redefining \em on input line 349. (latexsym.sty Package: latexsym 1996/11/20 v2.2d Standard LaTeX package (lasy symbols) \symlasy=\mathgroup10 LaTeX Font Info: Overwriting symbol font `lasy' in version `bold' (Font) U/lasy/m/n --> U/lasy/b/n on input line 85. ) LaTeX Font Info: Redeclaring math delimiter \lgroup on input line 413. LaTeX Font Info: Redeclaring math delimiter \rgroup on input line 415. LaTeX Font Info: Redeclaring math delimiter \bracevert on input line 417. ) (article.cls Document Class: article 1998/05/05 v1.3y Standard LaTeX document class (size12.clo File: size12.clo 1998/05/05 v1.3y Standard LaTeX file (size option) ) \c@part=\count83 \c@section=\count84 \c@subsection=\count85 \c@subsubsection=\count86 \c@paragraph=\count87 \c@subparagraph=\count88 \c@figure=\count89 \c@table=\count90 \abovecaptionskip=\skip41 \belowcaptionskip=\skip42 Compatibility mode: definition of \rm ignored. Compatibility mode: definition of \sf ignored. Compatibility mode: definition of \tt ignored. Compatibility mode: definition of \bf ignored. Compatibility mode: definition of \it ignored. Compatibility mode: definition of \sl ignored. Compatibility mode: definition of \sc ignored. LaTeX Info: Redefining \cal on input line 542. LaTeX Info: Redefining \mit on input line 543. \bibindent=\dimen105 ) (pdfcolor.tex) (test2answers.aux) LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 31. LaTeX Font Info: ... okay on input line 31. LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 31. LaTeX Font Info: ... okay on input line 31. LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 31. LaTeX Font Info: ... okay on input line 31. LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 31. LaTeX Font Info: ... okay on input line 31. LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 31. LaTeX Font Info: ... okay on input line 31. LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 31. LaTeX Font Info: ... okay on input line 31. ! LaTeX Error: File `amssym.def' not found. Type X to quit or to proceed, or enter new name. (Default extension: def) Enter file name: LaTeX Font Info: External font `cmex10' loaded for size (Font) <12> on input line 38. LaTeX Font Info: External font `cmex10' loaded for size (Font) <8> on input line 38. LaTeX Font Info: External font `cmex10' loaded for size (Font) <6> on input line 38. LaTeX Font Info: Try loading font information for U+lasy on input line 38. (ulasy.fd File: ulasy.fd 1996/11/20 v2.2dLaTeX symbol font definitions ) [1 ] ! Missing $ inserted. $ l.180 ? ! Missing } inserted. } l.180 ? ! Extra }, or forgotten \endgroup. \par ...emerr {\@@par }\fi \else {\@@par } \fi l.180 ? ! Undefined control sequence. l.239 be bases for ${\Bbb R}^2$. Find the change- ? Overfull \hbox (37.84439pt too wide) in paragraph at lines 248--261 []\OT1/cmr/m/n/12 To find the change of co-or-di-nates ma-trix, the eas-i-est w ay is to form the ma-trix $[]$ [] ! Undefined control sequence. l.273 Is this space equal to ${\Bbb R}^4$? Explain your answer. ? Overfull \hbox (204.6148pt too wide) in paragraph at lines 266--274 []\OT1/cmr/m/n/12 Use Mathematica to find a ba-sis for the space spanned by the fol-low-ing vec-tors: $[] \OML/cmm/m/it/12 ; [] ; [] ; [] ; [] ; []$\OT1/cmr/m /n/12 . [] [2] ! Undefined control sequence. l.322 ... ${\cal B}$ be a basis for ${\Bbb R}^n$. ? ! Undefined control sequence. l.326 $\mbox{{\bf{x}}} \in {\Bbb R}^n$. ? [3] (test2answers.aux) )< cmr8.pfb> Output written on test2answers.pdf (3 pages, 92891 bytes).