document.write( "Question 175039: find inverse of the matrix and also verify your result.
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Algebra.Com's Answer #130146 by Mathtut(3670) $\"\"$ $\"About$

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\n" ); document.write( "A= $\"%28matrix%282%2C2%2C1%2C-2%2C3%2C4%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"A%5E-1=adjA%2FdetA\"$
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\n" ); document.write( "adjA= $\"%28matrix%282%2C2%2C4%2C2%2C-3%2C1%29%29\"$ in a 2x2 matrix...the elements of the main diagonal of the matrix A are switched whereas we take the negatives of the remaining elements to obtain the adjugate of A
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\n" ); document.write( "detA=1(4)-2(-3)=10
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\n" ); document.write( " $\"A%5E-1=%28matrix%282%2C2%2C4%2C2%2C-3%2C1%29%29\"$ /10= $\"%28matrix%282%2C2%2C2%2F5%2C1%2F5%2C-3%2F10%2C1%2F10%29%29\"$
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\n" ); document.write( " $\"%28matrix%282%2C2%2C1%2C-2%2C3%2C4%29%29\"$ $\"%28matrix%282%2C2%2C2%2F5%2C1%2F5%2C-3%2F10%2C1%2F10%29%29\"$ = $\"%28matrix%282%2C2%2C1%2C0%2C0%2C1%29%29\"$ \n" ); document.write( "

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