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If A=[(1,2,-3),(2,3,2),(3,-3,-4)] Is A n...

If `A=[(1,2,-3),(2,3,2),(3,-3,-4)]` Is A non-singular? Why?

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BODY BOOKS PUBLICATION-DETERMINANTS-EXERCISE
  1. Ashok purchased 3 pencils, 2 instrument boxes and 1 pen and paid Rs 41...

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  2. Ashok purchased 3 pencils, 2 instrument boxes and 1 pen and paid Rs 41...

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  3. If A=[(1,2,-3),(2,3,2),(3,-3,-4)] Is A non-singular? Why?

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

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  5. If A=[(1,2,-3),(2,3,2),(3,-3,-4)] Solve the system of linear equations...

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  6. If A^(-1)=[[3,-1,1],[-15,6,-5],[5,-2,2]] and B=[[1,2,-2],[-1,3,0],[0,-...

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  7. Ifabs[[1,-3,2],[4,-1,2],[3,5,2]]=40,thenabs[[1,4,3],[-3,-1,5],[2,2,2]]...

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  8. Show that Delta=abs[[-a^2,ab,ac],[ba,-b^2,bc],[ac,bc,-c^2]]=4a^2b^2c^2

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  9. Let the value of a determinant is Delta. Then the value of a determi...

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  10. Show that abs[[a+b,b+c,c+a],[b+c,c+a,a+b],[c+a,a+b,b+c]]=2abs[[a,b,c],...

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  11. The value of the determinant |(sin10,-cos10),(sin50,cos50)| is a)-1 b)...

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  12. Using properties of determinants, show that abs[[a,a^2,b+c],[b,b^2...

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  13. Choose the correct answer from the bracket.The value of the determin...

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  14. Consider abs[[a,a+b,a+b+c],[2a,3a+2b,4a+3b+2c],[3a,6a+3b,10a+6b+3c]]

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  15. Choose the correct answer from the bracket.Consider a sqare matrix o...

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  16. Verify A(adjA)=(adjA)A=abs[A]I for the matrix A=[[5,-2],[3,-2]]that,...

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  17. Choose the correct answer from the bracket. If A=[(cosx,sinx),(-sinx,c...

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  18. Find the inverse of the following A=[[1,-1,2],[0,2,-3],[3,-2,4]]

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  19. If A=[[2,3],[1,-2]] and A^-1=kA,then the value of 'k' is

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  20. If A=[[1,-1,1],[2,-1,0],[1,0,0]], Find A^2

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