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ALLEN-DETERMINANTS-All Questions
- If |a a x m m m b x b|=0,\ then x may be equal to- a.a b. b c.a+b d. ...
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- The value of the determinant |alphabetalalphax nalphabetax| is indepen...
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- If the determinant |a+p l+x u+fb+q x+y v+gc+r n+z w+h| splits into exa...
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- The values of lambda for which the system of euations x+y+z=6, x+2y+3z...
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- If x , y , z are in A.P. , then the value of the determinant are in A....
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- Statement 1 is True: Statement 2 is True; Statement 2 is a correct ...
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- Comprehension 2 Consider the system of linear equations alphax+y...
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- Comprehension 2 Consider the system of linear equations alphax+y...
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- Without expanding the determinant prove that: |0b-c-b0a c-a0|=0
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- Prove that: |1a a^2-b c1bb^2-c a1cc^2-a b|=0
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- Prove that: |a^2+2a2a+1 1 2a+1a+2 1 3 3 1|=(a-1)^3 .
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- By using properties of determinants. Show that:|1+a^2-b^2 2a b-2b2a b1...
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- Show that: |a b-cc+b a+c b c-a a-bb+a c|=(a+b+c)(a^2+b^2+c^2)dot
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- Absolute value of sum of roots of the equation |x+22x+3 3x+4 2x+3 3x+4...
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- a+b+c=0, solve for x : [[a-x,c,b],[c,b-x,a],[b,a,c-x]]=0
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- Prove that '[[b-c,c-a,a-b],[b'-c'],[c'-a'][a'-b'],[b"-c",c"-a",a"-b"]]...
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- If 3 digit numbers A28, 3B9 and 62C are divisible by a fixed constant ...
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- For a fixed positive integer n , if =|n !(n+1)!(n+2)!(n+1)!(n+2)!(n+3)...
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- If Dr=|2^(r-1)2(3^(r-1))4(5^(r-1))x y z2^n-1 3^n-1 5^n-1| then p...
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- If D=|[1/z,1/z,-(x+y)/(z^2)],[-(y+z)/(x^2),1/x,1/x],[-(y(y+z)/(x^2z))...
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