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For what value of 'x', the matrix {:[(2-...

For what value of 'x', the matrix `{:[(2-x,3),(-5,1)]` is not invertible?

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MODERN PUBLICATION-DETERMINANTS-EXERCISE
  1. For what value of 'x', is the following matrix singular? {:[(3-2x,x+...

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  2. For what value of x is the matrix [(5-x,x+1),(2,4)] singular ?

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  3. For what value of 'x', the matrix {:[(2-x,3),(-5,1)] is not invertible...

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  4. Find the adjoint of the following matrices: {:[(a,b),(c,d)]

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  5. Find the adjoint of the following matrices: {:[(1,2),(3,4)]

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  6. Find the adjoint of matrix [(2,3),(1,4)]

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  7. Find the adjoint of the following matrices: {:[(1,-1,2),(2,3,5),(-2,...

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  8. If A = {:((3,1),(2,-3)), then find |adj.A|

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  9. If A is a square matrix of order 3 swuch that |A|=5, find |A.adj.A|.

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  10. Write the inverse of the matrix: {:[(costheta, sintheta),(-sintheta,...

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  11. Write the inverse of the matrix: {:[(costheta, -sintheta),(sintheta,...

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  12. Verify A(adj A) = (adj A).A = |A|.I :[[2,3],[-4,-6]]

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  13. Verify A(adj A) = (adj A).A = |A|.I : [[1,-1,2],[3,0,-2],[1,0,3]]

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  14. If A = [(costheta,-sintheta,0),(sintheta,costheta,0),(0,0,1)] verify t...

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  15. Find the inverse of each of the following matrices: {:[(-1,5),(-3,2)...

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  16. Find the inverse of each of the following matrices: {:[(2,-2),(4,3)]

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  17. If A = {:[(2,-1),(-1,2)], verify A^2 - 4A + 3I = O, where 1 = {:[(1,0)...

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  18. If A = [[3,1],[-1,2]], show thatA^2-5A +7I = O

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  19. Consider the matrix A = {:[(2,3),(4,5)] Show that A^2-7A-2I=O

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  20. Consider the matrix A = {:[(2,3),(4,5)] Hence , find A^-1

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