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If A = [[3,1],[-1,2]] then show that: A...

If ` A = [[3,1],[-1,2]]` then show that: `A^2-5A+7I = 0 `.

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CHETANA PUBLICATION-Matrices-EXERCISE
  1. If A = [[5,2],[-1,6] and B = [[0,1],[0,1]] then find the matrices X an...

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  2. If A = [[3,1,],[4,0]], B = [[4,0],[2,5]] then verify that (AB)^-1 = B^...

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  3. If A = [[3,1],[-1,2]] then show that: A^2-5A+7I = 0 .

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  4. The sum of the costs of one book each of Mathematics, Physics and Chem...

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  5. Express the following equation in matrix form and solve them by the me...

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  6. Express the following equation in matrix form and solve them by the me...

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  7. Express the following equation in matrix form and solve them by the me...

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  8. Express the following equation in matrix form and solve them by the me...

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  9. Express the following equation in matrix form and solve them by the me...

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  10. By using inverse of a matrix, solve the following equations: 2x+5y = ...

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  11. By using inverse of a matrix, solve the following equations: x+2y-2z =...

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  12. Find the inverse of the matrix: [[1,2,3],[2,4,5],[3,5,6]]. Hence solve...

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  13. Nina and Meena want to buy pens and books. Nina wants 2 pens and 5 boo...

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  14. If three numbers are added the sum is 15. If the second number is subt...

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  16. A person has Rs. 30,000 to invest. He wants to invest some amount in t...

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  17. In a city there are two factories A and B. Each factory produces sport...

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