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Find the inverse of the matrix (if it ex...

Find the inverse of the matrix (if it exists): `[[1,0,0],[0,cosalpha,sinalpha],[0,sinalpha,-cosalpha]]`

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PRADEEP PUBLICATION-DETERMINANTS-EXERCISE
  1. Find the inverse of the matrix (if it exists): [[2,1,3],[4,-1,0],[-7,2...

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  2. Find the inverse of the matrix (if it exists): [[1,-1,2],[0,2,-3],[3,-...

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  3. Find the inverse of the matrix (if it exists): [[1,0,0],[0,cosalpha,si...

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  4. Let A = [[3,7],[2,5]] and B = [[6,8],[7,9]] Verify that (AB)^-1 = B^-1...

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

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  6. For the matrix A = [[3,2],[1,1]], find the numbers a and b such that A...

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  7. For the matrix A = [[1,1,1],[1,2,-3],[2,-1,3]] Show that A^3-6A^2+5A+1...

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  8. If A = [[2,-1,1],[-1,2,-1],[1,-1,2]], Verify that A^3-6A^2+9A-4I=O and...

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  9. Let A be a non-singular square matrix of order 3×3. Then abs(adjA) is

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  10. Select the Correct Option If A is an invertible matrix of order 2, the...

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  11. Classify the following systems of equations as consistent or inconsist...

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  12. Solve by matrix method 2x +y +z=1 x-2y-z =3//2 3y-5z =9

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  13. Classify the following systems of equations as consistent or inconsist...

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  14. Classify the following systems of equations as consistent or inconsist...

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  15. Classify the following system of equations as consistent or inconsiste...

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  16. Classify the following system of equations as consistent or inconsiste...

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  17. Classify the following system of equations as consistent or inconsiste...

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  18. Use matrix methocd to solve the following system of equations: {:(x-y ...

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  19. Solve by matrix method 2x + 3y +3z = 5 x -2y + z = -4 3x - y -...

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  20. Solve the following system of linear equations by matrix method : x - ...

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