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RD SHARMA-DETERMINANTS-Solved Examples And Exercises
- Evaluate D =|[2, 3,-2],[ 1, 2, 3],[-2, 1,-3]| by using Sarrus diagram.
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- Evaluate =|-1 6-2 2 1 1 4 1-3| by two methods.
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- For what value of x the matrix A=[[1,-2,3],[1,2,1],[x,2,-3]] is singul...
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- Determine the values of x for which the matrix A=[x+1-3 4-5x+2 2 4 ...
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- If A=[1 3 2 1] , find the determinant of the matrix A^2-2A .
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- If A=[1 2 4 2] , then show that |2A|=4|A| .
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- If |x-2-3 3x2x|=3 , find the values of xdot
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- Let |[3,y],[x,1]|=|[3,2],[4,1]| Find possible values of x and y if x,y...
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- Evaluate the determinant =|(log)3 512(log)4 3(log)3 8(log)4 9| .
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- Find the minors of cofactors of elements of the matrix A=[a(i j)]=[[1,...
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- Let A=|1sintheta1-sintheta1sintheta-1-sintheta1|, where 0lt=thetalt=2p...
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- If [ ] denotes the greatest integer less than or equal to the real nu...
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- Prove that the determinant |(x,sin theta,cos theta),(-sin theta,-x,1),...
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- Write the minors and cofactors of each element of the first column ...
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- Write the minors and cofactors of each element of the first column ...
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- Evaluate the following determinants: |x-7x5x+1| (ii) |costheta-sin...
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- Evaluate the following determinants: |x-7x5x+1| (ii) |costheta-sin...
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- Evaluate: |2 3 7 13 17 5 15 20 12|^2 .
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- Show that |sin10o-cos10osin80ocos80o|=1
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- Evaluate |2 3-5 7 1-2-3 4 1| by two methods.
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