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Using the property of determinants and w...

Using the property of determinants and without expanding in questions 1 to 7 prove that ,
`|{:(x,a,x+a),(y,b,y+b),(z,c,z+c):}|=0`

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`L.H.S.=|{:(x,a,x+a),(y,b,y+b),(z,c,z+c):}|=|{:(x,a,0),(y,a,0),(z,c,0):}|`
`(C_(3)toC_(3)-C_(1)-C_(2))`
`=" "(therefore" all elements of "C_(3)" are zero")`
=R.H.S.
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NAGEEN PRAKASHAN ENGLISH-DETERMINANTS-Exercise 4.2
  1. Using the property of determinants and without expanding in questions ...

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  2. Using the property of determinants and without expanding in questions ...

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  3. Using the property of determinants and without expanding, prove that |...

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  4. Using the property of determinants and without expanding, prove that:...

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  5. Using the property of determinants and without expanding, prove that:...

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  6. Using the property of determinants and without expanding, prove that:...

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  7. Using the property of determinants and without expanding, prove that:...

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  8. By using properties of determinants. Show that:(i) |1a a^2 1bb^2 1cc^2...

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  9. Using the properties of determinants, show that: [[x, x^2, yz],[y, y...

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  10. By using properties of determinants. Show that: (i) |x+4 2x2x2xx+4 2x2...

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  11. By using properties of determinants. Show that:(i) |a-b-c2a2a2bb-c-a2b...

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  12. Using properties of determinants, prove the following: |1xx^2x^2 1...

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  13. By using properties of determinants. Show that:|1+a^2-b^2 2a b-2b2a b1...

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  14. Using properties of determinants, prove the following: |[a^2 + 1,ab, ...

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  15. Let A be a square matrix of order 3xx3, then |k A|is equal to(A) k|A|...

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  16. Which of the following is correct (A) Determinant is a square matrix. ...

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