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If M is a 3xx3 matrix, where det M=1a n ...

If `M` is a `3xx3` matrix, where det `M=1a n dM M^T=1,w h e r eI` is an identity matrix, prove theat det `(M-I)=0.`

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VMC MODULES ENGLISH-MATRICES AND DETERMINANTS -JEE ADVANCED ARCHIVE
  1. Let P be an odd prime number and T(p) be the following set of 2xx2 mat...

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  2. Let P be an odd prime number and T(p) be the following set of 2xx2 mat...

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  3. 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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  4. 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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  5. Let a,b,c be real numbers with a^(2) +b^(2) +c^(2)=1. Then show tha...

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  6. The value of the determinant |(sintheta, costheta, sin2theta) , (sin(t...

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  7. Suppose f(x) is a function satisfying the following conditions: f(0)=...

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  8. Find the value of the determinant |(bc,ca, ab),( p, q, r),(1, 1, 1)|,w...

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  9. Let a >0,d >-0. Find the value of the determinant |1/a1/(a(a+d))1/((a+...

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  10. For all values of A ,B ,Ca n dP ,Q ,R show that |"cos"(A-P)"cos"(A-Q)"...

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  11. For a fixed positive integer n , if =|n !(n+1)!(n+2)!(n+1)!(n+2)!(n+3)...

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  12. If a!=p ,b!=q ,c!=r and |[p, b, c ],[a, q, c ],[a ,b, r]|=0, then find...

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  13. Suppose that digit numbers A28,3B9 and 62 C, where A,B and C are integ...

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  14. Let Deltar=|[r-1,n,6],[(r-1)^2,2n^2,4n-2],[(r-1)^3,3n^3,3n^2-3n]|. Sho...

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  15. Show that |[""^xCr, ""^x C(r+1),""^x C(r+2)],[""^y Cr,""^y C(r+1),""^y...

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  16. Let alpha be a repeated root of a quadratic equation f(x)=0a n dA(x...

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  17. " If " |{:(x^(2)+x,,x+1,,x-2),(2x^(2)+3x-1,,3x,,3x-3),(x^(2)+2x+3,,2x...

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  18. Let a , b and c be positive and not all equal. Show that the va...

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  19. about to only mathematics

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  20. Let lambda and alpha be real. Then the numbers of intergral values ...

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