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A square matrix A has inverse if and onl...

A square matrix A has inverse if and only if A is …………….. (Fill in the blanks)

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MODERN PUBLICATION-DETERMINANTS-EXERCISE
  1. Find the cost of sugar and wheat per kg., if the cost of 7kg. Of sugar...

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  2. Find the cost of sugar and wheat per kg., if the cost of 7kg. Of sugar...

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  3. A square matrix A has inverse if and only if A is …………….. (Fill in the...

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  4. If A is a square matrix order 3 such that |adjA|=225, find |A'|.

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  5. For what value of 'x', is the following matrix singular? {:[(3-2x,x+...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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