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Two schools A and B decided to award prizes to their students for threevalues, team spirit, truthfulness and tolerance at the rate of `R sdotx ,R sdoty`and `R sdotz`per student respectively. School `A`, decided to award a total of Rs. 1,100 for the three values to 3, 1 and 2 students respectively whileschool B decided to award Rs. 1,400 for the three values to 1, 2 and 3 students respectively. If oneprize for all the three values together amount to Rs. 600 then(i) Represent the above situation by a matrix equation after forminglinear equations.(ii) Is it possible to solve the system of equations so obtained usingmatrices ?(iii) Which value you prefer to be rewarded most and why ? |
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Answer» `3x+10y+2xz=1100` `x+2xy+3xz=1400` `x+y+z=600` `[[3,1,2],[1,2,3],[1,1,1]][[x],[y],[z]]=[[1100],[1400],[600]]` `|A|=|[1,2],[2,3]|-1|[3,2],[1,3]|+|[3,1],[1,2]|` `=(3-4)-(9-2)+(6-1)` `=-1-7+5=-3!=0`. |
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