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Two farmers Ramkishan and Gurcharan S...

Two farmers Ramkishan and Gurcharan Singh cultivates only three varieties of rice namely Basmati, Permal and Naura. The sale (in Rupees) of these varieties of rice by both the farmers in the month of September and October are given by the following matrices A and B. (i) Find the combined sales in September and October for each farmer in each variety. (ii) Find the decrease in sales from September to October. (iii) if both farmers receive 2% profit on gross sales, compute the profit for each farmer and for each variety sold in October.

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RD SHARMA ENGLISH-ALGEBRA OF MATRICES-All Questions
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  2. Solve the matrix equation [x^2y^2]-3[x2y]=[-2 9] .

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  3. Two farmers Ramkishan and Gurcharan Singh cultivates only three var...

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  4. Compute the following sums: [[3,-2],[ 1, 4]]+[[-2, 4],[ 1 ,3]]

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  5. Let A=[[2,4],[3,2]] , B=[[1 ,3],[-2 ,5]], C=[[-2,5],[3,4]] ,FIND: ...

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  6. If A=[(2, 3),( 5 ,7)] , B=[(-1 ,0, 2),( 3, 4, 1)] , C=[(-1, 2 ,3),( ...

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  7. If A=[(-1,0,2),(3,1,4)], B=[(0,-2,5),(1,-3,1)] and C=[(1,-5,2),(6,0,-4...

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  8. If A=d i ag\ (2\ -5\ \ \ 9) , B=d i ag\ (1\ \ \ \ 1\ -4) and C=d i ag\...

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  9. Given the matrices A=[2 1 1 3-1 0 0 2 4] , B=[9 7-1 3 5 4 2 1 6] and C...

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  10. Find matrices X and Y , if X+Y=[(5, 2),( 0, 9)] and X-Y=[(3, 6),( 0...

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  11. Find X if Y=[(3, 2),( 1, 4)] and 2X+Y=[(1, 0),(-3, 2)] .

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  12. Find matrices X and Y , if 2X+Y=[6-6 0-4 2 1] and X+2Y=[3 2 5-2 1-7] .

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  13. If X-Y=[1 1 1 1 1 0 1 0 0] and X+Y=[3 5 1-1 1 4 11 8 0] , find X and Y...

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  14. Find matrix A , if [1 2-1 0 4 9]+A=[9-1 4-2 1 3] .

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  15. If A=[9 1 7 8] , B=[1 5 7 12] , find matrix C such that 5A+3B+2C is a ...

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  16. If A=[2-2 4 2-5 1] , B=[8 0 4-2 3 6] , find matrix X such that 2A+3X=5...

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  17. If A=[{:(1,-3,2),(2," "0,2):}]" and "B=[{:(2,-1,-1),(1," "0,-1):}], fi...

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  18. Find x ,\ y satisfying the matrix equations: [x-y 2 -2 4x6]+[3-2 2 1...

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  19. Find x ,\ y satisfying the matrix equations: x[2 1]+y[3 5]+[-8-11]=...

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  20. If 2[3 4 5x]+[1y0 1]=[7 0 10 5] , find x and y .

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