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CENGAGE ENGLISH-DETERMINANTS-All Questions
- If x!=y!=za n d|[x,x^2, 1+x^3],[y ,y^2 ,1+y^3],[z, z^2, 1+z^3]|=0, th...
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- Prove that |2alpha+beta+gamma+deltaalphabeta+gammadelta alpha+beta+g...
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- Solve for x , |[x,-6,-1], [ 2,-3x,x-3], [-3, 2x, x+2]|=0.
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- The value of the determinant |{:(1,,1,,1),(.^(m)C(1),,.^(m+1)C(1),...
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- Solve the equation |[a-x, c, b], [ c, b-x, a], [b, a, c-x]|=0 where a...
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- If a^2+b^2+c^2=-2a n df(x)= |1+a^2x(1+b^2)x(1+c^2)x(1+a^2)x1+b^2x(1+c...
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- Consider the set A of all determinants of order 3 with entries 0 or 1 ...
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- Solve: |[x^2-1, x^2+2x+1, 2x^2+3x+1], [2x^2+x-1, 2x^2+5x-3, 2x^2+4x-3...
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- If |[x,3, 6],[ 3, 6,x],[6,x,3]|=|[2,x,7],[x,7, 2],[ 7, 2,x]|=|[4, 5,x]...
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- If A1B1C1 , A2B2C2 and A3B3C3 are three digit numbers, each of which ...
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- If f^(prime)(x)=|[mx, mx-p, m x+p], [n, n+p, n-p], [mx+2n, m x+2n+p, m...
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- If sum(n=1)^nalphan=a n^2+b n ,w h e r ea ,b are constants and alp...
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- The determinant |x p+y x y y p+z y z0x p+y y p+z|=0 if x ,y ,z
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- Using properties of determinant prove that |a+b+c-c-b-c a+b+c-a-b-a a...
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- Show that |^x Cr^x C(r+1)^x C(r+2)^y Cr^y C(r+1)^y C(r+2)^z Cr^z C(r+1...
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- If omega!=1 is a cube root of unity and x+y+z!=0, then prove that |[x/...
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- Statement 1: If the system of equation lambdax+(b-a)y+(c-a)z=0,(a-b)x+...
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- If A , Ba n dC are the angels of a triangle, show that |-1+cos B co...
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- If alpha,beta,gamma are the angles of a triangle and system of equatio...
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- Without expanding the determinants, prove that |(103, 115, 114), (111,...
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