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A school wants to award its students for...

A school wants to award its students for the value of honesty, regularity and hard work will total cash award of Rs. `6000.` Three times the award money for hard work added to that added to that given for honesty amounts to Rs. `11000.` The award money given for honesty and hard work together is double the one given for regularity. Represent the above situation algebraically and find the award money for each value, using matrix method.

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Verified by Experts

The correct Answer is:
Honesty : `₹500`, Regularity : `₹2000`,
Hard work : `₹3500`
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Two schools P and Q want to award their selected students on the values of Discipline, politeness and punctuality. The school P wants to awards Rs. x each, Rs. y each and Rs. z each for the three respective values to its 3, 2 and 1 students with a total award money of Rs. 1000. School Q wants to spend Rs 1500 to award its 4, l and 3 students on the respective values (by giving the same award money for the three values before) If the total amount of awards for one prize on each value is Rs. 600, using matrices, find the award money for each value. Apart from the above three values suggest one more value for awards.

MODERN PUBLICATION-DETERMINANTS-Exercise 4(h) (LONG ANSWER TYPE QUESTIONS)
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  2. If A=(2-3 5 3 2-4 1 1-2), find A^(-1) . Using A^(-1) solve the fol...

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  3. If A=((2,-3,5),(3,2,-4),(1,1,-2)) find A^(-1). Use it to solve the sys...

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  4. If A=[[3,2,1],[4,-1,2],[7,3,-3]] then find A^(-1) and hence solve the...

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  5. If A=[{:(3,1,2),(3,2,-3),(2,0,-1):}] , find A^(-1). Hence, solve the s...

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  6. If A=[{:(1,1,1),(1,0,2),(3,1,1):}], find A^(-1). Hence, solve the syst...

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  7. If A=((2,-3,5),(3,2,-4),(1,1,-2)) find A^(-1). Use it to solve the sys...

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  8. Given that A=[{:(1,-1,0),(2,3,4),(0,1,2):}] and B=[{:(2,2,-4),(-4,2,-4...

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  9. Given A=[{:(1 " "-1 " "1),(1 " "-2 " "-2),(2 " "1 " "3)...

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  10. Use product [1-1 2 0 2-3 3-2 4]\ \ [-2 0 1 9 2-3 6 1-2] to solve th...

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  11. Solve the following system of homogeneous equations: 2x+3y-z=0 x-y-2z...

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  12. Solve the following system of homogeneous linear equations by matri...

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  13. Solve following system of homogeneous linear equations: x+y-2z=0,\ ...

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  14. Solve the following system of homogeneous equations: x+y+z=0 x-2y+z=0...

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  15. A school wants to award its students for the value of honesty, regular...

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  16. Two schools A and B want to awad their selected students on the values...

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  17. Two schools P and Q want to award their selected students on the value...

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  18. The sum of three numbers is 6. If we multiply third number by 3 and...

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  19. The sum of three numbers is 6. Twice the third number when added to th...

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  20. The cost of 4 kg onion, 3 kg wheat and 2 kg rice is Rs 60. The cost...

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