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V PUBLICATION-DETERMINANT-QUESTION BANK
- Verify Property 2 for Delta=|[2 , -3, 5],[ 6, 0, 4],[ 1, 5, -7]...
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- Evaluate Delta=|[3, 2, 3],[ 2, 2, 3],[ 3, 2, 3]|
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- Evaluate |[102, 18, 36],[ 1, 3, 4],[ 17, 3, 6]|
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- prove that abs[[a,b,c],[a+2x,b+2y,c+2z],[x,y,z]]=0
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- 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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- Without expanding prove that abs[[x+y,y+z,z+x],[z,x,y],[1,1,1]]=0
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- Evaluate Delta=|[1, a, bc],[ 1, b, c a],[ 1, c, a b]|
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- Using properties of determinants prove the following. abs[[b+c,a,...
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- Consider the determinant Delta=abs[[x,x^2,1+x^3],[y,y^2,1+y^3],[z,z^2,...
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- Using properties of determinants show that abs[[1+a,1,1],[1,1+b,1]...
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- Without expanding the determinant prove the following. |[x,a,x+a],[y...
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- Without expanding the determinant prove the following. |[a-b,b-c,c-a...
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- Evaluate |[2, 7, 65],[ 3, 8, 75],[ 5, 9, 86]|=0
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- prove |[1, b c, a(b+c)],[ 1, c a, b(c+a)],[ 1, a b, c(a+b)]|=0
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- Without expanding the determinant prove the following. |[b+c,q+r,y+z...
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- By using properties of determinants, prove that |[0,a ,-b],[-a,0,-c],...
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- By using properties of determinants, prove that |[-a^2,ab,ac],[ba,-b^...
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- 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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- By using properties of determinants, prove that |[x,x^2,yz],[y,y^2,zx...
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- Prove that abs[[y+k,y,y],[y,y+k,y],[y,y,y+k]]=k^2(3y+k)
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