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Evaluate Delta=|[3, 2, 3],[ 2, 2, 3...

Evaluate `Delta=|[3, 2, 3],[ 2, 2, 3],[ 3, 2, 3]|`

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Using cofactors of element of second row evaluate Delta=|[5, 3, 8],[ 2, 0, 1],[ 1, 2, 3]|

Find the minor of 1 in the determinant Delta=|[3, 4, 5 ],[2, 7, 1],[ 9, 2, 6]|

Using co-factors of elements of second row, evaluate Delta=|[5, 3, 8],[2,0,1],[1,2,3]|

Find the minors and co-factors of the elements 1,-3 and 4 in Delta=|[2, 1, 0 ],[-3 , 5 , -2],[ 6, 9, 4]|

Evaluate the determinant of A=[[1 , 3 , 2],[ 2, 0, 1 ],[ 3 , 4, 3]]

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V PUBLICATION-DETERMINANT-QUESTION BANK
  1. Verify Property 1 for Delta=|[2 ,-3, 5],[ 6, 0, 4],[ 1, 5, -7]...

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  2. Verify Property 2 for Delta=|[2 , -3, 5],[ 6, 0, 4],[ 1, 5, -7]...

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  3. Evaluate Delta=|[3, 2, 3],[ 2, 2, 3],[ 3, 2, 3]|

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  4. Evaluate |[102, 18, 36],[ 1, 3, 4],[ 17, 3, 6]|

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  5. prove that abs[[a,b,c],[a+2x,b+2y,c+2z],[x,y,z]]=0

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  6. Prove that |[a, a+b, a+b+c],[ 2 a, 3 a+2 b, 4 a+3 b+2 c],[ 3 a, ...

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  7. Without expanding prove that abs[[x+y,y+z,z+x],[z,x,y],[1,1,1]]=0

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  8. Evaluate Delta=|[1, a, bc],[ 1, b, c a],[ 1, c, a b]|

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  9. Using properties of determinants prove the following. abs[[b+c,a,...

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  10. Consider the determinant Delta=abs[[x,x^2,1+x^3],[y,y^2,1+y^3],[z,z^2,...

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  11. Using properties of determinants show that abs[[1+a,1,1],[1,1+b,1]...

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  12. Without expanding the determinant prove the following. |[x,a,x+a],[y...

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  13. Without expanding the determinant prove the following. |[a-b,b-c,c-a...

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  14. Evaluate |[2, 7, 65],[ 3, 8, 75],[ 5, 9, 86]|=0

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  15. prove |[1, b c, a(b+c)],[ 1, c a, b(c+a)],[ 1, a b, c(a+b)]|=0

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  16. Without expanding the determinant prove the following. |[b+c,q+r,y+z...

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  17. By using properties of determinants, prove that |[0,a ,-b],[-a,0,-c],...

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  18. By using properties of determinants, prove that |[-a^2,ab,ac],[ba,-b^...

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  19. Show that abs[[1,a,a^2],[1,b,b^2],[1,c,c^2]]=(a-b)(b-c)(c-a)

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  20. By using properties of determinants, prove that |[x,x^2,yz],[y,y^2,zx...

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