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Principal and staff of a school decided to award prizes to their students for three values Honesty (x), cleanliness (y) and punctuality (z) in two groups. Group A (upto class VIII) and group B (IX-XII). It is decided that Rs. 12000 for three values (x,y,z) for 3,4,5 students of group A and Rs. 11040 for 5,4,3 students of group B respectively. If all the three prizes together amount to Rs. 2880 then, (i) Represent above situation by a matrix equation and form linear equation using matrices. (ii)Is it possible to solve the system of linear equations so obtained using matrices.

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