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

If `A=[(-1,3),(4,2)],B=[(2,1),(3,-5)],X=[(x_(1),x_(2)),(x_(3),x_(4))]` and `A+B=x` then find the values of `x_(1),x_(2),x_(3)` and `x_(4)`.

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The correct Answer is:
`x_(1)=1,x_(2)=4,x_(3)=7,x_(4)=-3`
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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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