document.write( "Question 389009: Please help me solve this problem.\r
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\n" ); document.write( "What is the value of the game represented by the following matrix: \r
\n" ); document.write( "\n" ); document.write( "5 1 2
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Algebra.Com's Answer #275479 by haileytucki(390)\"\" \"About 
You can put this solution on YOUR website!
Finding the determinant:\r
\n" ); document.write( "\n" ); document.write( "M[5,1,2:8,0,-4:4,1,3]\r
\n" ); document.write( "\n" ); document.write( "Setup the determinant by breaking it into smaller components.
\n" ); document.write( "-(1)M[D,8,-4:4,3]+0M[D,5,2:4,3]-(1)M[D,5,2:8,-4]\r
\n" ); document.write( "\n" ); document.write( "The determinant of a 2x2 matrix can be found using the formula M[D,a,b:c,d]=ad-cb
\n" ); document.write( "-(1)((8)(3)-(4)(-4))+0M[D,5,2:4,3]-(1)M[D,5,2:8,-4]\r
\n" ); document.write( "\n" ); document.write( "Simplify the determinant.
\n" ); document.write( "-40+0M[D,5,2:4,3]-(1)M[D,5,2:8,-4]\r
\n" ); document.write( "\n" ); document.write( "Since the matrix is multiplied by 0, the determinant is 0.
\n" ); document.write( "-40+0-(1)M[D,5,2:8,-4]\r
\n" ); document.write( "\n" ); document.write( "The determinant of a 2x2 matrix can be found using the formula M[D,a,b:c,d]=ad-cb
\n" ); document.write( "-40+0-(1)((5)(-4)-(8)(2))\r
\n" ); document.write( "\n" ); document.write( "Simplify the determinant.
\n" ); document.write( "-40+0+36\r
\n" ); document.write( "\n" ); document.write( "Simplify the expression.
\n" ); document.write( "Answer= -4\r
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\n" ); document.write( "\n" ); document.write( "Or.....if you want to trapose the matrix:\r
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\n" ); document.write( "\n" ); document.write( "M[5,1,2:8,0,-4:4,1,3]\r
\n" ); document.write( "\n" ); document.write( "Transpose the matrix by moving element 0,0 in the original matrix to element 0,0 in the transposed matrix.
\n" ); document.write( "M[5,1,2:8,0,-4:4,1,3]->M[5,1,1:1,1,1:1,1,1]\r
\n" ); document.write( "\n" ); document.write( "Transpose the matrix by moving element 0,1 in the original matrix to element 1,0 in the transposed matrix.
\n" ); document.write( "M[5,1,2:8,0,-4:4,1,3]->M[5,1,1:1,1,1:1,1,1]\r
\n" ); document.write( "\n" ); document.write( "Transpose the matrix by moving element 0,2 in the original matrix to element 2,0 in the transposed matrix.
\n" ); document.write( "M[5,1,2:8,0,-4:4,1,3]->M[5,1,1:1,1,1:2,1,1]\r
\n" ); document.write( "\n" ); document.write( "Transpose the matrix by moving element 1,0 in the original matrix to element 0,1 in the transposed matrix.
\n" ); document.write( "M[5,1,2:8,0,-4:4,1,3]->M[5,8,1:1,1,1:2,1,1]\r
\n" ); document.write( "\n" ); document.write( "Transpose the matrix by moving element 1,1 in the original matrix to element 1,1 in the transposed matrix.
\n" ); document.write( "M[5,1,2:8,0,-4:4,1,3]->M[5,8,1:1,0,1:2,1,1]\r
\n" ); document.write( "\n" ); document.write( "Transpose the matrix by moving element 1,2 in the original matrix to element 2,1 in the transposed matrix.
\n" ); document.write( "M[5,1,2:8,0,-4:4,1,3]->M[5,8,1:1,0,1:2,-4,1]\r
\n" ); document.write( "\n" ); document.write( "Transpose the matrix by moving element 2,0 in the original matrix to element 0,2 in the transposed matrix.
\n" ); document.write( "M[5,1,2:8,0,-4:4,1,3]->M[5,8,4:1,0,1:2,-4,1]\r
\n" ); document.write( "\n" ); document.write( "Transpose the matrix by moving element 2,1 in the original matrix to element 1,2 in the transposed matrix.
\n" ); document.write( "M[5,1,2:8,0,-4:4,1,3]->M[5,8,4:1,0,1:2,-4,1]\r
\n" ); document.write( "\n" ); document.write( "Transpose the matrix by moving element 2,2 in the original matrix to element 2,2 in the transposed matrix.
\n" ); document.write( "M[5,1,2:8,0,-4:4,1,3]->M[5,8,4:1,0,1:2,-4,3]\r
\n" ); document.write( "\n" ); document.write( "Transpose the matrix by turning all rows in original matrix to columns in the transposed matrix.
\n" ); document.write( "M[5,8,4:1,0,1:2,-4,3] ( The : represents the split in the column )\r
\n" ); document.write( "\n" ); document.write( "I added this, but I believe that you were looking for the answer within the first solution above (determinant)
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