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

If `A=[(1,1,-1),(2,0,3),(3,-1,2)], B=[(1,3),(0,2),(-1,4)] and C=[(1,2,3),(2,0,-2)].` prove that `(AB)C=A(BC)`

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The correct Answer is:
`(AB)C=A(BC)=[(4,4,4,-7),(35,-2,-39,22),(31,2,-27,11)]`
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MODERN PUBLICATION-MATRICES-Exercise 3 (d) Long Answer Type Questions I
  1. Which relation is true for A =[(2,-1),(-1,2)] and B=[(1,4),(-1,1)] (1)...

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  2. If A=[(2,1),(1,0)],B=[(1,-1),(2,3)], verify that : (A+B)^(2)!=A^(2)+...

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

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  4. Let A=[(1,2),(2,1)],B=[(2,0),(1,3)] and C=[(1,1),(2,3)]. Calculate A...

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  5. Let A=[(0,6,7),(-6,0,8),(7,-8,0)],B=[(0,1,1),(1,0,2),(1,2,0)],C=[(2),(...

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  6. Find the matrix X so that X[1 2 3 4 5 6]=[-7-8-9""""""2""""""4""""6]

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  7. If A=[(1,-2),(-3,4)], then find A^(2)+5A.

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  8. If A=[3 1-1 2] , show that A^2-5A+7I=O . Use this to find A^4

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  9. Let A ={:[(2,0,1),(2,1,3),(1,-1,0)] and f(x) = x^(2) -5x + 6 , find f(...

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  10. यदि A= [[2,0,1],[2,1,3],[1,-1,0]], तब A^(2) - 3A + 2I का मान ज्ञात क...

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  11. if A=[{:(3,1),(-1,2):}],show that A^(2)-5A+7I=0.

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  12. If M=[(7,5),(2,3)], then verify the equation : M^(2)-10M+11I(2)=O

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  13. If A+l={:[(2,2,3),(3,-1,1),(4,2,2)]:} then show that A^(3)-23A-40l=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=[{:(-1,2),(3,1):}], find f(A), where f(x)=x^(2)-2x+3.

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  16. If A=[(3,1),(-1,2)], then find f (A), where f(x)=x^(2)-5x+7.

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  17. If A=[1 0-1 7] , find k such that A^2-8A+k I=O .

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  18. 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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  19. If A=[(0,3),(-7,5)] and I=[(1,0),(0,1)], then find 'k' so that k^(2)=5...

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  20. Solve system of linear equations, using matrix method, x y" "+" "2...

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