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If A=[(1,2),(4,-3)] Find A^2 and 4A....

If `A=[(1,2),(4,-3)]` Find `A^2` and 4A.

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BODY BOOKS PUBLICATION-MATRICES-EXERCISE
  1. A=[[2,3],[4,5],[2,1]] B=[[1,-2,3],[-4,2,5]] Find AB

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  2. A=[[2,3],[4,5],[2,1]] B=[[1,-2,3],[-4,2,5]] If C is the matrix obtai...

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  3. If A=[(1,2),(4,-3)] Find A^2 and 4A.

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  4. If f(x)=x^(2)+4x-5andA=[(1,2),(4,-3)], then f(A) is equal to a)[(0,-4)...

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  5. The co-operative store of a particular school has 10 dozen physics boo...

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  6. Find the values of x,y,z respectively, if [(x),(-y+z),(x-y-z)]=[(3),(5...

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  7. Find the value of a,b and c from the following equations, [[a-b,2a...

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  8. Compute the following: [[cos^2x, sin^2x],[sin^2x, cos^2x]]+[[sin^2x,...

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

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

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  11. Using elementry transformation, find the inverse of the matrices. A ...

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  12. If A=[[alpha ,beta],[ gamma , -alpha]] is such that A^2=I, then A) ...

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  13. Consider the matrix A=[(2,3,-1),(-1,4,2),(6,0,8)] Find A+A^T and show ...

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  14. Consider the matrix A=[(2,3,-1),(-1,4,2),(6,0,8)] Find A-A^T and show ...

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  15. Consider the matrix A=[(2,3,-1),(-1,4,2),(6,0,8)] Express A as the sum...

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  16. Use matrix multiplication to divide Rs 30,000 in two parts such that t...

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  17. If A=[(1,-1),(2,-1)],B=[(a,1),(b,-1)]. If (A+B)^2=A^2+B^2, Prove that ...

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  18. If A=[(1,-1),(2,-1)],B=[(a,1),(b,-1)] and (A+B)^2=A^2 +B^2 .Find a and...

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  19. If A=[(-1),(2),(3)] and B=[-2 -1 -4] Find out the product AB.

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  20. If A=[(-1),(2),(3)] and B=[-2 -1 -4] Find A^T and B^T.

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