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RD SHARMA ENGLISH-ADJOINTS AND INVERSE OF MATRIX-All Questions
- Find the inverse of [(1, 2, 5),( 1,-1,-1),( 2 ,3,-1)]
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- Find the inverse of [(2,-1, 1),(-1, 2,-1),( 1,-1, 2)]
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- Find the inverse of [(2, 0,-1),( 5, 1, 0),( 0, 1, 3)]
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- Find the inverse of [(0 ,1,-1),( 4,-3, 4),( 3,-3, 4)]
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- Find the inverse of [(0, 0,-1), (3 ,4 ,5),(-2,-4,-7)]
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- Find the inverse of [(1, 0, 0),( 0,cosalpha,sinalpha),(0,sinalpha,-cos...
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- Find the inverse following matrix and verify that A^(-1)A=I3 . [(1, ...
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- Find the inverse following matrix and verify that A^(-1)A=I3 . [(2, ...
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- For the following pair of matrix verify that (A B)^(-1)=B^(-1)A^(-1)...
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- For the following pair of matrix verify that (A B)^(-1)=B^(-1)A^(-1...
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- Let A=[(3, 2),( 7, 5)] and B=[(6, 7),( 8, 9)] . Find (A B)^(-1)
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- Given =[(2,-3),(-4, 7)] , compute A^(-1) and show that 2A^(-1)=9I-A .
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- If A=[(4, 5),( 2 ,1)] , then show that A-3I=2(I+3A^(-1))
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- Find the inverse of the matrix A=[(a, b),( c,(1+b c)/a)] and show th...
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- Given A=[(5, 0, 4),( 2, 3, 2),( 1, 2, 1)] , B^(-1)=[(1, 3, 3),( 1, 4, ...
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- Let F(alpha)=[cosalpha-sinalpha0sinalphacosalpha0 0 0 1] and G(beta)=[...
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- If A=[(2, 3),( 1, 2)] , verify that A^2-4A+I=O , where I=[(1, 0),( 0, ...
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- Show that A=[(-8, 5),( 2, 4)] satisfies the equation A^2+4A-42 I=O . H...
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- If A=[(3, 1),(-1 ,2)] , show that A^2-5A+7I=O . Hence, find A^(-1) .
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- If A=[(4 ,3 ),(2 ,5)] , find x and y such that A^2-x A+y I=O .
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