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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.

Text Solution

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The correct Answer is:
`"(i) "A+B=[(1500,3000,3600),(7000,4000,2000)]`
`"(ii) "A-B=[(500,1000,2400),(3000,2000,0)]`
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AAKASH SERIES-MATRICES -Exercise - 3.1 (Very short answer questions)
  1. Construct a 3xx2 matrix A=[a(ij)], whose elements are given by (i) a...

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  2. Specify the order of the following matrices [(0),(1),(-1)]

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  3. Specify the order of the following matrices ["2 1 3 -4"]

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  4. Specify the order of the following matrices [(-1,2),(1,-2),(3,1)]

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  5. Specify the order of the following matrices [(0,3,6,-18),(6,9,12,0),...

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  6. Find the trace of [(1,3,-5),(2,-1,5),(2,0,1)]

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  7. Find the additive inverse of A where A = [(i,0,1),(0,-i, 2),(-1,1,5)]

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  8. Write the following as a single matrix. (i) ["2 1 3"]+["0 0 0"] ...

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

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  10. If A=[(0,1,2),(2,3,4),(4,5,-6)]" and "B=[(-1,2,3),(0,1,0),(0,0,-1)] th...

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

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  12. If A = [(1,2,3),(3,2,1)] and B = [(3,2,1),(1,2,3)], find 3B - 2A.

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  13. If A=[(1,2),(3,4)],B=[(3,8),(7,2)] and 2X+A=B then find X.

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  14. IF A=[{:(3,2,-1),(2,-2,0),(1,3,1):}]B=[{:(-3,-1,0),(2,1,3),(4,-1,2):}]...

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  15. If [[x-3,2y-8],[z+2,6]] = [(5,2),(-2,a-4)] then find x,y,z & a.

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  16. If [(x-1,2,y-5),(z,0,2),(1,-1,1+a)]=[(1-x,2,-y),(2,0,2),(1,-1,1)] then...

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  17. If A=[(-1,3),(4,2)],B=[(2,1),(3,-5)],X=[(x(1),x(2)),(x(3),x(4))] and A...

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  18. If [(x-1,2,5-y),(0,z-1,7),(1,0,a-5)]=[(1,2,3),(0,4,7),(1,0,0)] find x,...

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  19. If A = diag (1,-1,2) and B = diag (2,3,-1) find 3A+4B.

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  20. Two factories I and II produce three varieties of pens namely, Gel, Ba...

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