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The bookshop of a particular school has ...

The bookshop of a particular school has 10 dozen chemistry books, 8 dozen physics books, 10 dozen economics books. Their selling prices are Rs 80, Rs 60 and Rs 40 each respectively. Find the total amount the bookshop will receive from selling all

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The correct Answer is:
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Let `A=[10xx12" "8xx12" " 10xx12]` ,
`=[120" "96" "120]`
`and B=[80" "60" " 40]'=[{:(80),(60),(40):}]`
`therefore AB=[120" "96" "120][{:(80),(60),(40):}]`
`=[9600+5760+4800]=[20160]`
Now the sum received by seller `=Rs. 20160`
Assume x,Y,Z,W,and P are matrices of order `2xxn,3xxk,2xxp,nxx3` and pxxK,` respectively . choose the correct answer in questions 21 and 22.
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NAGEEN PRAKASHAN-MATRICES-Exercise 3.2
  1. compute the indicated products . (i) [{:(a,b),(-b,a):}][{:(a,-b),(b,...

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  2. if A=[{:(1,2,-3),(5,0,2),(1,-1,1):}],B=[{:(3,-1,2),(4,2,5),(2,0,3):}]a...

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  3. If A=[2/3 1 5/3 1/3 2/3 4/3 7/3 2 2/3] and B=[2/3 2/5 1 1/5 2/5 4/5 7/...

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  4. Simplify: cos theta[{:(costheta,sintheta),(-sintheta,costheta):}]+si...

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  5. Find X and Y, if(i) X+Y=[7 0 2 5]and X-Y=[3 0 0 3](ii) 2X+3Y=[2 3 4 0]...

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  6. Find X if Y=[3 2 1 4] and 2X+Y=[1 0-3 2] .

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  7. Find X and Y,if 2[{:(1,3),(0,x):}]+[{:(y,0),(1,2):}]=[{:(5,6),(1,8...

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  8. Solve the equation for x, y, z and t, if 2[x z y t]+3[1-1 0 2]=3[3 5 4...

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  9. ifx[{:(2),(3):}]+y[{:(-1),(1):}]=[{:(10),(5):}],find the values of x ...

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  10. Given 3[x y z w]-[x6-1 2w]+[4x+y z+w3] , find the values of x, y, z an...

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  11. If f(x) = [(cos x , - sinx,0),(sinx,cosx,0),(0,0,1)] then show f(x) . ...

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  12. show that (i) [{:(5,-1),(6,7):}][{:(2,3),(3,4):}]ne[{:(2,3),(3,4):}]...

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  13. If f(x)=x^2-5x+6. Find f(A),if A=[(2,0,1),(2,1,3),(1,-1,0)].

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  14. If A=[1 0 2 0 2 1 2 0 3] , prove that A^3-6A^2+7A+2I=0

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  15. If A A=[3-2 4-2]and I=[1 0 0 1], find k so that A^2=k A-2I.

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  16. Let A=[0-tan(alpha//2)tan(alpha//2)0] and I be the identity matrix ...

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  17. A trust fund has Rs. 30000 that must be invested in two different t...

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  18. The bookshop of a particular school has 10 dozen chemistry books, 8...

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  19. the restriction on n, k and p so that PY +Wywill be defined are :

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  20. If n" "=" "p , then the order of the matrix 7X" "" "5Z is: (A) p xx...

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