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RD SHARMA-DETERMINANTS-Solved Examples And Exercises
- Without expanding prove that: |x+y y+z z+x z x y1 1 1|=0 .
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- Without expanding show that: =|cos e c^2thetacot^2theta1cot^2thetac...
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- Find the value of the determinant =|2 3 4 5 6 8 6x9x 12 x| .
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- Without expanding show that |b^2c^2b c b+cc^2a^2c a c+a a^2b^2a b a...
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- Without expanding evaluate the determinant |sinalphacosalphasin(alp...
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- Without expanding evaluate the determinant |(x^2+x^(-1))^2(a^2-a^(-1))...
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- If a ,\ b ,\ c are in A.P., find the value of |2y+4 5y+7 8y+a3y+5 6...
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- Without expanding evaluate the determinant =|265 240 219 240 225 19...
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- If 1=|1 1 1x^2y^2z^2x y z| and 2=|1 1 1y z z xx y x y z| , without exp...
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- Let =|A xx^2 1B y y^2 1C z z^2 1| and 1=|A B C x y z y z z xx y| , the...
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- If 1=|a b c x y z p q r| and 2=|q-b y-p a-x r-c z| , without expanding...
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- If A is a skew-symmetric matrix of odd order n , then |A|=O .
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- Prove that: |0a-b-a0-c b c0|=0 .
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- Without expanding or evaluating show that |0b-a c-a a-b0c-b a-c b-c...
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- Without expanding, prove that |a+b x c+dx p+q x a x+b c x+d p x+q u...
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- Prove that: |-a^2a b a c b a-b^2b c a c b c-c^2|=4a^2b^2c^2 .
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- Prove that: |1 1 1 1 1+x1 1 1 1+y|=x y .
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- Evaluate: |1a a^2 1bb^2 1cc^2| .
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- Show that : |x y z x^2y^2z^2x^3y^3z^3|=x y z(x-y)(y-z)(z-x)dot
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- Prove that: |alphabetagammaalpha^2beta^2gamma^2beta+gammagamma+alphaal...
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