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Two factories I and II produce three var...

Two factories I and II produce three varieties of pens namely, Gel, Ball and Ink pens. The sale in namely, Gel, Ball and Ink pens by both the factories in the month of September and October in a year are given by the following matries A and B.
September sales (in Rupees)

October sales (in Rupees)

(i) Find the combined sales in September and October for each factory in each variety.
(ii) Find the decrease in sales from September to October.

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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. A=overset("Septermber Sales (in Rupees)")overset("Basmati Permal Naura")([("10,000","20,000","30,000"),("50,000","30,000","10,000")]){:("Ramkishan"),("Gurcharan Singh"):} B=overset("October Sales (in Rupees)")overset("Basmati Permal Naura")([("5,000","10,000","6000"),("20,000","10,000","10,000")]){:("Ramkishan"),("Gurcharan Singh"):} (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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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-MATRICES -SOLVED PROBLEMS
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  2. if A=[{:(1,2),(3,4):}], B=[{:(3,8),(7,2):}] and 2X+A=B then find X

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  4. Construct a 3 xx 2 matrix whose elements are defined by a(ij) = 1/2|i ...

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  5. If A = [(0,1,2),(1,2,3),(2,3,4)], B = [(1,-2),(-1,0),(2,-1)] then find...

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  6. If A=[(1,-2,3),(2,3,-1),(-3,1,2)] and B=[(1,0,2),(0,1,2),(1,2,0)] then...

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  7. if A = [(I,0)(0,-i)] then show that A^(2) = -1 (i^(2)=-1).

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  8. If A = [(cos theta, sin theta),(-sin theta, cos theta)] then show that...

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  9. IF A=[{:(1,2,2),(2,1,2),(2,2,1):}] then show that A^2-4A-5I=O.

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  10. IF A=[{:(-2,1,0),(3,4,-5):}] and B=[{:(1,2),(4,3),(-1,5):}] then fin...

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  11. IF A=[{:(-1,2),(0,1):}] then find AA'. Do A and A' commute with respec...

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  12. If [(0,4,-2),(-4,0,8),(2,-8,x)] is a skew symmetric matrix then find t...

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  13. For any n xx n matrix A, prove that A can be uniquely expressed as a s...

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  14. Show that |{:(1,a,a^2),(1,b,b^2),(1,c,c^2):}|=(a-b)(b-c)(c-a)

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  15. Show that |{:(b+c,c+a,a+b),(c+a,a+b,b+c),(a+b,b+c,c+a):}|=2|{:(a,b,c),...

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  16. Show that |{:(1,a^2,a^3),(1,b^2,b^3),(1,c^2,c^3):}| =(a-b)(b-c)(c-a)(a...

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  17. find determinant of |(1, omega, omega^(2)),(omega, omega^(2),1),(omega...

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  18. Show that |{:(a-b-c," "2a," "2a),(" "2b,b-c-a," "2b),(" "2c," "2...

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  19. Show that the determinant of skew - symmetric matrix of order three is...

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  20. Fiind the valueof x if: |{:(x-2, 2x-3, 3x-4),(x-4, 2x-9, 3x-16),(x-8...

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