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VMC MODULES ENGLISH-MATRICES AND DETERMINANTS -LEVEL 2
- A=[(1,tan x),(-tan x,1)] and f(x) is defined as f(x)= det. (A^(T)A^(-1...
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- If A is an idempotent matrix satisfying, (I-0. 4 A)^(-1)=I-alphaA ,w h...
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- Let A=[(3x^(2)),(1),(6x)], B=[(a,b,c)], and C=[((x+2)^(2),5x^(2),2x)...
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- Let A=[a("ij")](3xx3) be a matrix such that A A^(T)=4I and a("ij")+2c(...
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- Let S be the set which contains all possible values of l, m, n, p, q, ...
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- Let alpha,beta,gamma are the real roots of the equation x^3+a x^2+b x+...
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- If a1, a2, a3,54,a6,a7, a8, a9 are in H.P., and D=|[a1,a2,a3],[5, 4,a6...
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- about to only mathematics
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- The sum of roots of the equations |{:(x+2,,2x+3,,3x+4),(2x+3,,3...
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- If alpha,beta,gamma are real numbers, then without expanding at any...
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- Prove that |(a-x)^2(a-y)^2(a-z)^2(b-x)^2(b-y)^2(b-z)^2(c-x)^2(c-y)^2(...
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- Express =|2b c-a^2c^2b^2c^2 2c a-b^2a^2b 62a^2 2a b-c^2| as square of ...
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- Prove without expansion that |a h+bgga b+c h bf+b afh b+b c af+b cc bg...
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- If y= |[sinx,cosx,sinx],[cosx,-sinx,cosx],[x,1,1]|, find (dy)/(dx)
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- If f(x)=|x^nn !2cosxcos(npi)/2 4sinxsin(npi)/2 8| then find the val...
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- Show that |{:(bc-a^(2),,ca-b^(2),,ab-c^(2)),(ca-b^(2),,ab-c^(2),,bc-a^...
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- Write down 2xx2 matrix A which corresponds to a counterclockwise rota...
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- If A , B ,a n dC are the angles of triangle, show that the system o...
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- If a x1 2+b y1 2+c z1 2=a x2 2+b y2 2+c z2 2=a x3 2+b y3 2+c z3 2=d ,a...
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- Let triangle =|[2a1b1, a1b2+a2b1, a1b3+a3b1], [a1b2+a2b1, 2a2b2, a2b3+...
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