document.write( "Question 1205107: Let D and E be the following matrices:\r
\n" ); document.write( "\n" ); document.write( "I don't know how to format matrices on here, so I will write the top row (horizontal) and the bottom row. These are all 2 x 2 matrices. \r
\n" ); document.write( "\n" ); document.write( "D dilates vectors by a factor of 3. E is the matrix [1 2][4 5]. \r
\n" ); document.write( "\n" ); document.write( "Calculate the matrix D^-1 E[-2 1][1 4]\r
\n" ); document.write( "\n" ); document.write( "Sorry if the matrices are unclear. In latex, you are calculating $\[\mathbf{D}^{-1}\mathbf{E} \begin{pmatrix} -2 & 1\\ 1 & 4 \end{pmatrix}.\]$ \n" ); document.write( "

Algebra.Com's Answer #841746 by ikleyn(52879) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "Since D dilates vectors by the factor 3,\r\n" );
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document.write( "    D = .\r\n" );
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document.write( "Hence,   = .\r\n" );
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document.write( "The rest is mechanical job of multiplying matrices.\r\n" );
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