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Two schools A and B want to award their ...

Two schools A and B want to award their selected students on the values of sincerity, truthfulness and helpfulness. The school A wants to award Rs. X and Rs y each and Rs Z each of the three respective values to 3,2 and 1 students respectively with a total award money of Rs 1600. School B wants to spend Rs 2300 to award its 4,1 and 3 students on respective values (b giving the same award money for the three values as before). If the total amount of award for one prize on each value is `Rs 900`, using matrices find the award money for each value. Apart from these three values, suggest one more value which should be considered for award.

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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 award 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, 1 and 3 students on the respective values (by giving the same award money for the three values as by school P). If the total amount of award for one prize on each value is Rs. 600. using matrices, find the award money for each value. Apart from above three values, suggest one value of awards.

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The following matrix depicts the number of students of a school who were awarded for Discipline, Attendance and Obedience. If the prize money for the three values were respectively Rs.500, Rs.200 and Rs.300, find the total prize money received by boys.

Two factories decided to award their employees for three values of (a) adaptable to new techniques (b) careful and alert in difficult situations keeping calm in tense situations. At the rate of Rs, x, Rs, y, and Rs z per person respectivley. The first factory decided to honour respectively 2,4, and 3 employees with a total prize money of Rs. 29000. the second factory decided to honour respectively 5,2 and 3 employees with the prize money of Rs 30500. If the three prizes per person together cost Rs 9500, then which values are reflected in the question?

Two factories decided to award their employees for three values of (a) adaptable to new techniques (b) careful and alert in difficult situations keeping calm in tense situations. At the rate of Rs, x, Rs, y, and Rs z per person respectivley. The first factory decided to honour respectively 2,4, and 3 employees with a total prize money of Rs. 29000. the second factory decided to honour respectively 5,2 and 3 employees with the prize money of Rs 30500. If the three prizes per person together cost Rs 9500, then solve these equations using matrices.

The following matrix depicts the number of students of a school who were awarded for Discipline, Attendance and Obedience. If the prize money for the three values were respectively Rs.500, Rs.200 and Rs.300, find who is more careful about the ethical values, boys or girls?

MODERN PUBLICATION-DETERMINANTS-EXERCISE
  1. Two schools A and B want to award their selected students on the value...

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  2. Let A be a square matrix of order 3xx3, then prove that |kA|=k|A|.

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  3. If any two rows (or columns) of a determinant are identical, the value...

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  4. Answer in one word. {:|(3,1,6),(5,2,10),(7,4,14)|

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  5. If A is a square matrix of order 3 and |3A| = k|A|, then write the val...

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  6. Write the value of the following determinant abs{:(a-b, b-c, c-a),(b-c...

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  7. Use properties of determinants ot evaluate: {:|(2,a,abc),(2,b,bca),(...

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  8. Use properties of determinants ot evaluate: {:|(x+y,y+z,z+x),(z,x,y)...

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  9. Evaluate |[102,18,36],[1,3,4],[17,3,6]|

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  10. Use properties of determinants ot evaluate: {:|(2,3,1),(4,6,2),(1,3,...

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  11. Use properties of determinants ot evaluate: {:|(2,3,5),(261,592,127)...

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  12. Show that x=1 is a root of the equation: {:|(x+1,2x,-11),(2x,x+1,-4...

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  13. If p,q,r ar in A.P. write the value of : {:|(x+1,x+2,x+2p),(x+2,x+3,...

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  14. Without expanding, prove that the following determinant vanishes. |...

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  15. Without actual expansion, prove that the following determinants vanish...

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  16. Without actual expansion, prove that the following determinants vanish...

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  17. Without actual expansion, prove that the following determinants vanish...

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  18. Without actual expansion, prove that the following determinants vanish...

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  19. Without actual expansion, prove that the following determinants vanish...

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  20. Without expanding, prove that Delta = abs{:(x+y, y + z, z+ x),(z, x ,...

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  21. Without expanding, prove that : |{:(1, bc, a(b+ c) ),(1, ca, b ( c+ a)...

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