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PREMIERS PUBLISHERS-APPLICATIONS OF MATRICES AND DETERMINANTS -PROBLEMS FOR PRACTICE (II. Answer the following)
- If A=[[1,2,1],[1,1,2],[2,2,1]] verify A(adj A)=(adj A)A=|A|I(3).
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- Find the inverse of A=[[1,3,7],[4,2,3],[1,2,1]]
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- If A=[[3,1],[2,5]]B=[[1,2],[2,3]] verify (AB)^(-1)=B^(-1)A^(-1)
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- If A=[[3,1],[2,5]]B=[[1,2],[2,3]] verify (AB)^(T)=B^(T)A^(T).
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- If A=[[3,1],[2,5]]B=[[1,2],[2,3]] verify adj (AB) = (adj B) (adj ...
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- Show that A=A^(-1) if A[[-1,2,-2],[4,-3,4],[4,-4,5]] Hence find A^(2).
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- Solve : 2x-y=7 3x-2y=11 by Crammer's rule
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- Solve : 2x-y=7 3x-2y=11 by Matrix inversion method.
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- Find the rank of the matrix [[1,-2,3,4],[-2,4,-1,-3],[-1,2,7,6]]
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- Solve by Crammer's rule. 2x+y+z=5, x+y+z=4, x-y+2z=1.
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- A hall has a capacity for 100 chairs. The cost of a red chair is Rs. 2...
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- Solve the system : 2x+3y-z=0, x+y+z=0, 2x+y+2z=0.
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- Test the consistency of the following system of linear equation and if...
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- Solve : x-2y+3z=2 3x+y-z=3 8x-2y+4z=10
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- Solve : (1)/(x)+(2)/(y)-(1)/(z)=1 (2)/(x)+(4)/(y)+(1)/(z)=5 ...
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