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VMC MODULES ENGLISH-MATRICES AND DETERMINANTS -JEE ADVANCED ARCHIVE
- The total number of distinct x in R for which |{:(x,,x^(2),,...
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- For a real number, alpha if the system [{:(,1,alpha,alpha^(2)),(,alp...
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- Let P be a matrix of order 3xx3 such that all the entries in P a...
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- Let a, b, and c be three real numbers satifying [(a, b, c)] [(1,9,7)...
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- Let a, b, and c be three real numbers satifying [(a, b, c)] [(1,9,7)...
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- Let omega be the solution of x^(3)-1=0 with "Im"(omega) gt 0. If a=2 w...
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- Let P be an odd prime number and T(p) be the following set of 2xx2 mat...
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- Let P be an odd prime number and T(p) be the following set of 2xx2 mat...
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- Let P be an odd prime number and T(p) be the following set of 2xx2 mat...
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- If M is a 3xx3 matrix, where det M=1a n dM M^T=1,w h e r eI is an iden...
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- Given a matrix A=[a b c b c a c a b],w h e r ea ,b ,c are real positiv...
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- Let a,b,c be real numbers with a^(2) +b^(2) +c^(2)=1. Then show tha...
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- The value of the determinant |(sintheta, costheta, sin2theta) , (sin(t...
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- Suppose f(x) is a function satisfying the following conditions: f(0)=...
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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/a1/(a(a+d))1/((a+...
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- For all values of A ,B ,Ca n dP ,Q ,R show that |"cos"(A-P)"cos"(A-Q)"...
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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 a!=p ,b!=q ,c!=r and |[p, b, c ],[a, q, c ],[a ,b, r]|=0, then find...
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- Suppose that digit numbers A28,3B9 and 62 C, where A,B and C are integ...
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