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SHARAM PUBLICATION-DETERMINANT-EXAMPLE
- Prove that the following. [[a,b,c],[x,y,z],[p,q,r]]=[[y,b,q],[x,a,p],[...
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- Prove the following: [[a^2+1,ab,ac],[ab,b^2+1,bc],[ac,bc,c^2+1]] =1+...
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- Solve for x, |{:(15-2x,11,10),(11-3x,17,16),(7-x,14,13):}|=0
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- What is the value of |[i^(103), 3 ,i^(101)],[i^(56), 5, i^(54)],[i^(23...
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- Without expanding find the value of the deteminant |[3, 6, 9],[-2, 4 ,...
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- Prove that:|[1, a ,a^2],[a^2, 1 ,a],[a, a^2, 1]| is a perfect square.
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- Without expanding prove that: |[12, 2, 4, -5, 1],[-8, 1, -5, 2, -1],[6...
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- Prove that: |[1, 1, 1],[a, b, c],[a^2, b^2, c^2]|=(a-b)(b-c)(c-a)
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- Solve : |[x-a, 0, 0],[a, x-b, 0],[a, b, x-c]|=0
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- What is the value of the determinant |[0, 0, 2],[0, 2, 0],[2, 0 ,0]|
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- Solve the following : [[1+x,1,1],[1,1+x,1],[1,1,1+x]]=0
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- Find the value of |{:(17,58,97),(19,60,99),(18,59,98):}| without expan...
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- Prove that the following. [[1+a,1,1],[1,1+b,1],[1,1,1+c]] = abc(1+1/...
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- Evaluate the following determinants: [[0,a^2,b],[b^2,0,a^2],[a,b^2,0...
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- Prove that: |[a+b+2c, a, b],[c, b+c+2a, b],[c, a, c+a+2b]|=2(a+b+c)^3
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- Without expanding prove that |[1,a,a^(2),-bc],[1,b,b^(2),-ca],[1,c,c^(...
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- Prove the following : [[1,bc,a(b+c)],[1,ca,b(c+a)],[1,ab,c(a+b)]]=0
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- Given the equations x=cy+bz, y=az+cx and z=bx+ay where x,y and z a...
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- Eliminate x,y,z from a=x/y-z, b=y/z-x, c=z/x-y
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- Prove that abs[[b+c,c+a,a+b],[q+r,r+p,p+q],[y+z,z+x,x+y]]=2abs[[a,b,c]...
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