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Two shopkeepers A and B of a particular ...

Two shopkeepers A and B of a particular school have stock of books on moral education non - violence and truth as given by

If the selling prices of these books are respectively Rs. 400 ,Rs. 350 and Rs. 300 per book .Find the total amount received by each shopkeeper , if all the books are sold , using matrices .

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The correct Answer is:
Total amount received shopkeeper A is Rs. 37200 and B es Rs. 31200 .
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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 .

ARIHANT PUBLICATION-MATRICES -CHAPTER PRACTICE (Very Short Answer Type Questions)
  1. Let A=[{:(2,3),(-1,2):}]andf(x)=x^(2)-4x+7 . Show that f(A)=O. Use thi...

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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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