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SHARAM PUBLICATION-DETERMINANT-EXAMPLE
- 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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- Prove that the following. [[1+a,1,1],[1,1+b,1],[1,1,1+c]] = abc(1+1/...
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- Prove that |[x+y, x, x],[5x+4y, 4x, 2x], [10x+8y, 8x, 3x]|=x^3
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- Using properties of determinants prove that |{:(a+x,y,z),(x,a+y,z),...
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- Prove that the following. [[b+c,a,a],[b,c+a,b],[c,c,a+b]]=4ab
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- Prove the following: [[1,1,1],[a,b,c],[a^3,b^3,c^3]] =(b-c)(c-a)(a...
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- Prove that |[x, y, z],[x^2, y^2, z^2], [x^3, y^3, z^3]|=xyz(x-y)(y-z)(...
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- Prove that the following. [[a,b,c],[a^2,b^2,c^2],[bc,ca,ab]]=(b-c)(c-a...
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- Prove the following: [[(b+c)^2,a^2,bc],[(c+a)^2,b^2,ca],[(a+b)^2,c^2...
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