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Three schools A ,B and C want to award...

Three schools A ,B and C want to award their selected students for the values of Honesty , Regularity and Hard work .Each school decied to award a sum Rs. 2500 . Rs. 3100 ,Rs. 5100 per students for the respective values .the number of students to be awarded by three schools is given below in the table

Find the total money given in awards by the three schools separately , using matrices .

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The correct Answer is:
Money awarded by School A = Rs. 50500 , School B= Rs. 40800 and School C= Rs. 41600
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ARIHANT PUBLICATION-MATRICES -CHAPTER PRACTICE (Very Short Answer Type Questions)
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  2. If A=[{:(2,0,1),(2,1,3),(1,-1,0):}] , then find A^(2)-5A+6I.

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  3. If A=[{:(2,3),(1,2):}], then prove that A^(3)-4A^(2)+A=O.

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  4. If A=[{:(1,0),(-1,7):}], thenfind k such that A^(2)-8A+kI=O.

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  5. If A=[{:(3,-2),(4,-2):}], then find k such that A^(2)=kA-2I .

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  6. For the matrix A=[{:(3,1),(7,5):}] , find a and b such that A^(2)+aI...

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  7. Given that, A=[{:(4,0),(2k,5k):}] and B=[{:(k,0),(3,-1):}] such that A...

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  8. A factory makes three products P,Q and R .The table shows the units of...

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  9. A manufacturer sells the products x,y and z in two markets .Annual sal...

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  10. A trust fund has Rs. 35000 is to be invested in two different types o...

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  11. If AB= BA for any two square matrices , then prove by mathematical in...

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  12. If A = diag [{:(a,b,c):}] , then show that A^(n)="diag"[{:(a^(n),b...

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  13. If A=[{:(-1,2,3),(5,7,9),(-2,1,1):}]andB=[{:(-4,1,-5),(1,2,0),(1,3,1):...

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  14. FIND (1)/(2)(A+A')and(1)/(2)(A-A') , where A=[{:(0,a,b),(-a,0,c),(-b,...

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  15. Two shopkeepers A and B of a particular school have stock of books on ...

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  16. Three schools A ,B and C want to award their selected students for ...

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  17. If A=[{:(3,-4),(1,-1):}] , then show that (A-A') is a skew - symmetr...

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  18. Show that the matrix B^(T) AB is symmetric or skew -symmetric , acco...

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  19. Using elementary row transformation , find inverse of matrix A=[{:(6,...

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  20. Find the inverse of matrix A=[{:(1,2,4),(-1,-2,-1),(2,1,-1):}] by ele...

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