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Find the inverse of the following : [[...

Find the inverse of the following :
`[[1,0],[0,-1]]`

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`[[1,0],[0,-1]]`
`therefore absA=-1-0=-1 ne 0`
`therefore C_11=-1, C_12=0, C_21=0, C_22=1`
Let B=`[[C_11,C_12],[C_11,C_22]]=[[-1,0],[0,1]]`
`therefore B.=[[-1,0],[0,1]]=adjA`
`therefore A^-1 =(adjA)/(absA)=([[-1,0],[0,1]])/-1`
`[[1,0],[0,-1]`
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MBD PUBLICATION-DETERMINATES-QUESTION BANK
  1. Find the inverse of the following : [[2,5],[1,3]]

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  2. Find the inverse of the following : [[1,0],[2,-3]]

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  3. Find the inverse of the following : [[1,0],[0,-1]]

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  4. Find the inverse of the following : [[i,-i],[i,i]

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  5. Find the inverse of the following : [[x,-x],[x,x^2]],x ne 0, x ne -1

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  6. Find the adjoint of the following matrice. [[1,1,-1],[2,-1,2],[1,3,-2...

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  7. Find the adjoint of the following matrice. [[-2,2,3],[1,4,2],[-2,-3,1...

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  8. Find the adjoint of the following matrice. [[2,1,2],[2,2,1],[1,2,2]]

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  9. Find the adjoint of the following matrice. [[1,3,0],[2,-1,6],[5,-3,1]...

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  10. Find the adjoint of the following matrice. [[-2,2,3],[1,4,2],[-2,-3,1...

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  11. Which of the following matrice is invertible? [[1,0,0],[1,1,1],[2,-1...

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  12. Which of the following matrice is invertible? [[2,1,-2],[1,2,1],[3,6...

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  13. Which of the following matrice is invertible? [[-1,-2,3],[2,1,-4],[-...

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  14. Which of the following matrice is invertible? [[1,0,1],[2,-2,1],[3,2...

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  15. Examining consistency and solvability, solve the following equation by...

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  16. Examining consistency and solvability, solve the following equation by...

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  17. Examining consistency and solvability, solve the following equation by...

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  18. Examining consistency and solvability, solve the following equation by...

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  19. Examining consistency and solvability, solve the following equation by...

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  20. Examining consistency and solvability, solve the following equation by...

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