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RD SHARMA-DETERMINANTS-Solved Examples And Exercises
- Evaluate =|[-1, 6,-2],[ 2, 1, 1],[ 4, 1,-3]| by two methods
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- If A=[1 3 2 1] , find the determinant of the matrix A^2-2Adot
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- Determine the values of x for which the matrix A=[x+1-3 4-5x+2 2 4 1x-...
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- The value of the determinant |xx+y x+2y x+2y xx+y x+y x+2y x|i s 9x^2...
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- Let f(x)=|[cosx , x , x] , [2sinx , x , 2x] , [sinx , x , x]|, then ...
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- A triangle has its three sides equal to a , b and c . If the coordin...
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- Solve the following system of equations using Cramers rule. 5x-7y+z=1...
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- Let A=|1sintheta1-sintheta1sintheta-1-sintheta1|, where 0lt=thetalt=2p...
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- Prove the identities: |[a, b-c,c-b],[ a-c, b, c-a],[ a-b,b-a, c]| =(...
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- Prove the identities: |[b^2+c^2,ab, ac],[ba,c^2+a^2,bc],[ca, cb ,a^2+...
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- |((a^2+b^2)/c,c,c),(a,(b^2+c^2)/a,a),(b,b,(a^2+c^2)/b)| equal to : (A)...
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- Prove that identities: |[-bc,b^2+bc,c^2+bc],[a^2+ac,-ac,c^2+ac],[a^2+...
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- Without expanding, prove that |a b c x y z p q r|=|x y z p q r a b c|=...
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- If |[p, b, c],[ a, q, c],[ a, b, r]|=0, find the value of p/(p-a)+q/(...
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- Find the equation of the line joining A(1,3)a n dB(0,0) using determin...
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- If A(x1, y1),B(x2, y2) and C(x3,y3) are vertices of an equilateral ...
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- If f(x)=|0x-a x-b x+a0x-c x+b x+c0|,t h e n f(x)=0 (b) f(b)=0 (c) f...
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- Prove the identities: |[a^2,a^2-(b-c)^2,b c], [b^2,b^2-(c-a)^2,c a],[...
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- Prove the identities: |[z, x, y],[ z^2,x^2,y^2],[z^4,x^4,y^4]|=|[x,...
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- Without expanding, show that the value of each of the determinants is ...
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