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Verify: The value of the determinant rem...

Verify: The value of the determinant remains unchanged if its rows and columns are interchanged.
`Delta=|{:(2,-3,5),(6,0,4),(1,5,-7):}|`

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The correct Answer is:
`Delta=Delta_1`
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Verify Property 2 for Delta=|{:(2,-3,5),(6,0,4),(1,5,-7):}|

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Using Cofactors of elements of second row, evaluate Delta=|{:(5,3,8),(2,0,1),(1,2,3):}|

Write minors and cofactors of the elements of following determinant |{:(2,-1,3),(4,2,5),(0,4,-1):}|

Write minors and cofactors of the elements of following determinant |{:(4,3,8),(6,7,5),(3,1,2):}|

Uing cofactors of elements of first row evaluate |{:(2,-1,3),(6,4,16),(8,5,8):}|

Using cofactors of elements of second row evaluate |{:(1,-3,2),(4,-1,2),(3,5,2):}|"

Statement -1 The value of the determent |{:(1,2,3),(4,5,6),(7,8,0):}|ne 0 Statement -2 Neither of two rows rows or columns of |{:(1,2,3),(4,5,6),(7,8,0):}| is identical.

Write Minors and Cofactors of the elments of following determinants : |{:(1,0,4),(3,5,-1),(0,1,2):}|

KUMAR PRAKASHAN-DETERMINANTS -Textbook Illustrations for Practice work
  1. Evaluate Delta=|{:(0,sinalpha,-cosalpha),(-sinalpha,0,sinbeta),(cosalp...

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  2. Find values of x for which |{:(3,x),(x,1):}|=|{:()3,2),(4,1):}|

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  3. Verify: The value of the determinant remains unchanged if its rows and...

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  4. Verify Property 2 for Delta=|{:(2,-3,5),(6,0,4),(1,5,-7):}|

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  5. Evaluate Delta =|{:(3,2,3),(2,2,3),(3,2,3):}|

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  6. Evaluate {:[( 102,18,36),( 1,3,4),( 17,3,6)]:}

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  7. Using the property of determinants and without expanding prove the fol...

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  8. Prove that |{:(a,a+b,a=b+c),(2a,3a+2b,4a+3b+2c),(3a,6a+3b,10a+6b+3c):}...

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  9. Without expanding prove that Delta=|{:(x+y,y+z,z+x),(z,x,y),(1,1,1):...

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  10. Evaluate Delta=|{:(1,a,bc),(1,b,ca),(1,c,ab):}|

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  11. Prove that {:[( b+c,a,a), ( b,c+a,b),( c,c,b+a) ]:}

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  12. If x,y,z are different and Delta=|{:(x,x^2,1+x^3),(y,y^2,1+y^3),(z,z...

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  13. Prove that |{:(a+1,1,1),(1,b+1,1),(1,1,c+1):}|=abc(1/a+1/b+1/c+1)

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  14. Find the area of the triangle whose vertices are (3,8),(-4,2) and (5,1...

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  15. Find the equation of the line joining A(1,3) and B(0,0) using determin...

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  16. Find the minor of elements 6 in the determinant Delta=|{:(1,2,3),(4,...

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  17. Find minors and cofactors of all the elements of the determinant |{:(1...

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  18. Find minors and cofactors of the elements a(11),a(21) in the determina...

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  19. Find minors and cofactors of the elements of the determinant |{:(2,-3,...

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  20. Find adj A for A = {:[( 2,3),( 1,4) ]:}

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