document.write( "Question 1101074: If parcel A and B together weigh 24 kgs, but parcel B and C together weighs only 21 kgs. When parcel A and C are paired, the combined weight is 27kgs. If the weight of parcel A is represented by a, the weight of parcel B is represented by b and the weight of parcel C is represented by c a. Derive a system of three equations in a, b and c. b. Using the inverse method derive the combined weight of parcel A, B and C. \n" ); document.write( "
Algebra.Com's Answer #715678 by richwmiller(17219)![]() ![]() You can put this solution on YOUR website! original \n" ); document.write( "1 1 0 24 \n" ); document.write( "0 1 1 21 \n" ); document.write( "1 0 1 27 \n" ); document.write( "determinant =2 \n" ); document.write( "inverse matrix fractional form \n" ); document.write( "1/2 -1/2 1/2 \n" ); document.write( "1/2 1/2 -1/2 \n" ); document.write( "-1/2 1/2 1/2\r \n" ); document.write( "\n" ); document.write( "24 21 27\r \n" ); document.write( "\n" ); document.write( "solutions and sum \n" ); document.write( "15 + 9 + 12 =36 \n" ); document.write( "The process is much too long to present here. \n" ); document.write( "I can only assume that such a problem was given to practice the inverse matrix method so that you could check your result easily with ankor's method.. \n" ); document.write( "There are several inverse matrix methods including using gauss jordan, using the identity matrix and using determinants, cofactors and and adjoint. \n" ); document.write( "I used determinant, cofactor and and adjoint.\r \n" ); document.write( "\n" ); document.write( "Ankor's method didn't need to find a,b and c individually.\r \n" ); document.write( "\n" ); document.write( "Yesterday, Ikleyn used a similar method as Ankor to solve the same problem stating it is the most obvious and simplest choice to solve this problem. It is but I suppose that the teacher is introducing inverse matrix method and started with an easy system of equations \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |