CENGAGE PUBLICATION-DETERMINANTS-All Questions
- Prove that the value of each the following determinants is zero: |a...
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- If l1^2+m1^2+n1^2=1 etc., and l1 l2+m1 m2+n1 n2 = 0, etc. and Delta...
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- The value of determinant |[ ^n C(r-1), ^n Cr, (r+1)^(n+2)C(r+1)],[ ^n...
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- Let |(x,2,x),(x^2,x,6),(x,x,6)|=A x^4+B x^3+C x^2+D x+Edot Then the va...
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- If the determinant |[b-c,c-a, a-b],[b^(prime)-c ', c^(prime)-a ', a^(p...
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- Let a ,b , c be the real numbers. The following system of equations in...
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- By using properties of determinats. Prove that- |(sintheta,costheta,...
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- Find the value of the determinant |(bc,ca, ab),( p, q, r),(1, 1, 1)|,w...
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- let a > 0 , d > 0 find the value of the determinant |[1/a,1/(a(a + d))...
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- Prove that: cos(A+B+C)+cos(A-B+C)+cos(A+B-C)+cos(-A+B+C)=4cos A\ cos B...
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- Let lambdaa n dalpha be real. Find the set of all values of lambda for...
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- Prove that |[a x-b y-c z, a y+b x, c x+a z], [a y+b x, b y-c z-a x, b...
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- If (x)=|(alpha+x,theta+x,lambda+x),(beta+x,varphi+x,mu+x),(gamma+x,psi...
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- If alpha,beta,gamma are different from 1 and are the roots of a x^3+b ...
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- If p+q+r=0=a+b+c , then the value of the determinant |[p a, q b, r c],...
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- Let triangle =|[2a1b1, a1b2+a2b1, a1b3+a3b1], [a1b2+a2b1, 2a2b2, a2b3+...
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- If 2s=a+b+c and A=|[a^2,(s-a)^2,(s-a)^2],[(s-b)^2,b^2,(s-b)^2],[(s-c)^...
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- Find the value of lambda for which |{:(2a1+b1 , 2a2+b2 , 2a3+b3),(2b1+...
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- Prove that: |[-2a, a+b,a+c],[ b+a,-2b,b+c],[c+a, c+b,-2c]|=4(a+b)(b+c...
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