document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=5792>Question 5792</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For the following linear operator T on the vector space V, test T for diagonalizability, and if T is diagonalizable, find a basis B for V such that [T]B is a diagonal matrix.<BR>\n" );
document.write( "V= M(2x2)(R) and T is defined by T(A) = A^t. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #3013 by </B><A HREF=/tutors/aboutme.mpl?userid=khwang><B>khwang(438)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=khwang><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=3013\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  T is diagonalizable iff the set of all eigenvectors can generate the whole<BR>\n" );
document.write( " vector space. (That is : try to find a basis consisting of eigenvectors)\r<BR>\n" );
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document.write( " I cannot tell you more, since it seems that you did not ask this<BR>\n" );
document.write( " high level question seriously and posted your question in<BR>\n" );
document.write( " a very sloppy way.\r<BR>\n" );
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document.write( " Moreover, you insult your own question with other baby level problems<BR>\n" );
document.write( " [Where nobody understanding linear algebra.]\r<BR>\n" );
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document.write( " Kenny  </SPAN>\n" );
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