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- Prove that =|1 1 1 a b c b c+...
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- If the determinant ∣ cos(θ+ϕ) sinθ −cosθ −sin(θ+ϕ) cosθ sinθ cos2ϕ ...
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- The system of equations -2x+y+z=a, x-2y+z=b, x+y-2z=c, has: (a)...
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- Show that if x1, x2, x3!=0 |x1+a1b1a1b2a1b3a2b1x2+a2b2a2b3a3b1a3b2x3+...
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- determinant |"cos theta sin theta -sin theta cos theta
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- If Deltar =|[2^(r-1) ,2.3^(r-1), 4.5^(r-1)],[alpha,beta,gamma],[2^n-1,...
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- The values of k in R for which the system of equations x+k y+3z=0,k x...
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- A determinant of second order is made with the elements 0 and 1. Fi...
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- If a ,b , c are nonzero real numbers such that |b cc a a b c a a bb c ...
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- Prove that the determinant {:[( x, sin theta ,cos theta ),( -sin thet...
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- Consider the determinant f(x)=|0x^2-a x^3-b x^2+a0x^2+c x^4+b x-c0|dot...
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- Find the value of |1 2 4-1 3 0 4 1 0|
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- Consider the system of the equation k x+y+z=1,x+k y+z=k ,a n dx+y+k z=...
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- Each question has four choices a, b, c and d, out of which only one is...
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- If a ,b ,c in R , then find the number of real roots of the equat...
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- Delta = |(a, a^2, 0),(1, 2a+b,(a+b)),(0, 1, 2a+3b)| is divisible by ...
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- Without expanding at any stage, prove that the value of each of the...
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- If a,b,c are all positive, and are p^(th), q^(th) and r^(th) terms of ...
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- If the entries in a 3xx3 determinant are either 0 or 1, then the grea...
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- The value of the determinant of n^(t h) order, being given by |x1 11x1...
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