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If x. y, z are non- real number", then t...

If x. y, z are non- real number", then the inverse of matrix `A = [[x,0,0],[0,y,0],[0,0,z]]` is

A

`[{:(x^(-1) , 0 , 0),(0, y^(-1) , 0),(0,0,z^(-1)):}]`

B

`xyz [ {:(x^(-1) , 0 ,0),(0,y^(-1) , 0),(0, 0 ,z^(-1) ):}]`

C

`(1)/( xyz) [ {:(x, 0 , 0 ),(0, y , 0),(0, 0, z):} ]`

D

`(1)/( xyz) [{:(1, 0, 0),(0,1,0),(0,0,1):} ]`

Text Solution

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OMEGA PUBLICATION-DETERMINANTS-Multiple Choice Questions (MCQs)
  1. If |[x,2],[18,x]| = |[6,2],[18,6]|, then x is equal to:

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  2. Let A be a square matrix of order 3 xx 3. Then I kA I is equal to :

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  3. If A is an invertible matrix of order n, then |adj A|=

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  4. If area of triangle is 35 sq. units with vertices (2, - 6), (5, 4) and...

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  5. Delta=|(a(11),a(12),a(13)),(a(21),a(22),a(23)),(a(31),a(32),a(33))| an...

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  6. Let A be a non-singular matrix of order 3 xx 3. Then I adj. A I is equ...

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

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  8. If a, b, c are in A.P., then the determinant abs{:(x+2, x+3, x+2a),(x+...

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  9. If x, y, z are non-zero real numbers, then the inverse of matrix A = [...

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  10. Let A = [{:(1, sin theta , 1),(-sin theta, 1 , sin theta),(-1 , - sin ...

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  11. If |[x,2],[18,x]| = |[6,2],[18,6]|, then x is equal to:

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  12. Let A be a square matrix of order 3 xx 3. Then I kA I is equal to :

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  13. If A is an invertible matrix of order n, then |adj A|=

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  14. If area of triangle is 35 sq. units with vertices (2, - 6), (5, 4) and...

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  15. Delta=|(a(11),a(12),a(13)),(a(21),a(22),a(23)),(a(31),a(32),a(33))| an...

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

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  17. lf A is an invertible matrix of order 2, then |A^(-1) | is equal to

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  18. If a, b, c, are in A.P, then the determinant |[x+2,x+3,x+2a],[x+3,x+4,...

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  19. If x. y, z are non- real number", then the inverse of matrix A = [[x,0...

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  20. Let A = [{:(1, sin theta , 1),(-sin theta, 1 , sin theta),(-1 , - sin ...

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