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abs(A)=abs([2,1,-4],[1,5,0],[-2,4,7])...

`abs(A)=abs([2,1,-4],[1,5,0],[-2,4,7])`

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abs(A)= abs([4,2],[-1,6])

Find the minors and cofactors of the elements of the following determinants: abs([1,0,4],[3,5,-1],[0,0,2])

Find the minors and cofactors of the elements of the following determinants: abs([2,-3,5],[6,0,4],[1,5,-7])

Evaluate abs([2,4,0],[-1,1,2],[0,-2,1])

Delta=abs([1xx5,2xx5,3xx5],[3,1,6],[4,2,1]) =5 abs([1,2,3],[3,1,6],[4,2,1])

If A=[[2,-1,2],[1,3,-4]],B=[[1,-2],[-3,0],[5,4]] then verify that (AB)^(T)=B^(T)A^(T)

If A=[[2,1,3],[4,1,0]], B=[[1,-1],[0,2],[5,0]] , verify that (AB)\'=B\'A\'

(5) (i) If A=[[2,4,-1],[-1,0,2]],B=[[3,4],[-1,2],[2,1]], find (AB)^(T)

If A = [[2,3],[-1,5]] , B = [[3,-1],[4,7]] and C = [[5,-1],[0,3]], show that A(B +C)=AB+AC

" If "A=[[1,2],[3,4],[5,6]],B=[[2,3,7],[1,0,3]]" verify that "(AB)^(T)=B^(T)A^(T)

MAHAVEER PUBLICATION-DETERMINANTS-QUESTION BANK
  1. abs(A)= abs([4,2],[-1,6])

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  2. abs(b)=abs([p+1 , q],[r,s+1])

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  3. abs(A)=abs([2,1,-4],[1,5,0],[-2,4,7])

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  4. Find the value of x if abs([x,2],[18,x])=abs([6,2],[18,6])

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  5. Find the value of abs(2A) if A= abs([1,0,1],[0,1,0],[1,0,2])

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  6. Show that : The value of Delta=abs([1,0,3],[0,1,0],[1,0,2])=-1

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  7. Delta=abs([1xx5,2xx5,3xx5],[3,1,6],[4,2,1])=5abs([1,2,3],[3,1,6],[4,2,...

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  8. Evaluate abs([2,4,0],[-1,1,2],[0,-2,1])

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  9. Evalaute abs([2,3,4],[8,12,6],[97,98,99])

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  10. Evaluate abs([23,13,4],[42,39,12],[67,52,16])

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  11. Evaluate abs([98,81,321],[88,72,423],[55,45,657])

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  12. Evaluate abs([a-b,b-c,c-a],[b-c,c-a,a-b],[c-a,a-b,b-c])

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  13. Prove that abs([1,1,1],[1,1+a,1],[1,1,1+b])=ab

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  14. ([1,1,1],[a,b,c],[a^2,b^2,c^2])=(a-b)(b-c)(c-a)

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  15. (iii) सारणिक का बिना विस्तार किये हुए सिद्ध करें कि |{:(a,b,c),(x,y,z)...

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  16. Prove that : Det[[x,x^2,x^3],[y,y^2,y^3],[z,z^2,z^3]]=xyz(x-y)(y-z)(z-...

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  17. Show that abs([y+z ,x,x],[y,z+x,y],[z,z,x+y])=4xyz

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  18. Show that abs([x,b,c],[x,b,y],[y,b,c])=b(x-y)(c-y)

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  19. Prove that the determinate abs([x,sintheta,costheta],[-sintheta,-x,1],...

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  20. Without expanding the determinant prove that abs([a,a^2,bc],[b,b^2,...

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