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

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

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Evaluate the determinates abs([2,-1,-2],[0,2,-1],[3,-5,0])

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

Evaluate : [[1,3,5]][[1,0,3],[2,0,1],[0,1,2]][[1],[4],[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 value of abs(2A) if A= abs([1,0,1],[0,1,0],[1,0,2])

If A=[[2,3,4],[1,2,3],[-1,1,2]], B=[[1,3,0],[-1,2,1],[0,0,2]] , find AB and BA and show that AB!=BA

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

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

If A= [[2,4,-1],[-1,0,2]], B=[[3,4],[-1,2],[2,1]] , Show that (AB)'=B'A' .

" If possible "AB" And "BA" Find out when "A=[[1,0,2],[0,1,-2]],B=[[1,-2],[-2,3],[-3,1]]

MAHAVEER PUBLICATION-DETERMINANTS-QUESTION BANK
  1. Show that : The value of Delta=abs([1,0,3],[0,1,0],[1,0,2])=-1

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

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

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

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

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

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

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

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  9. ([1,1,1],[a,b,c],[a^2,b^2,c^2])=(a-b)(b-c)(c-a)

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

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

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

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

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

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  16. Solve the equation |x+a xxxx+a xxxx+a|=0, a!= 0

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  17. Find minors and cofactors of all the elements of the determinant abs([...

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  18. Solve by Cramer's rule: 3x-2y=4 6x-y=11

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  19. Solve by Cramer's rule: 3x+2y=4 8x+3y=13

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  20. Solve by Cramer's rule: 3x-2y=4 x-4y=-2

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