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|{:(1,2,3),(4,5,6),(3,2,2):}|...

`|{:(1,2,3),(4,5,6),(3,2,2):}|`

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`|{:(-2," "10,-7),(" "2,-7," "4),(-3," "6,-3):}|;|{:(" "2/3,-10/3," "7/3),(-2/3," "7/3,-4/3),(" "1,-2," "1):}|`
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Find the minor of elements 6 in the determinants Delta = {:|( 1,2,3),(4,5,6),(7,8,9)|:}

|{:(1,3,5),(2,4,3),(4,6,7):}|

|{:(2,3,4),(3,4,5),(4,5,6):}|=0

|{:(1,-3,2),(4,-1,2),(3," "5,2):}|

Name the octants in which the following points lie (1,2,3),(4,-2,3),(4,-2,-5),(4,2,-5),(-4,2,-5),(-4,2,5),(-3,-1,6) (-2,-4,-7)

Determine the matrices A and B, where A+2B={:[(1,2,0),(6,-3,3),(-5,3,1)] and 2A-B={:[(2,-1,5),(2,-1,6),(0,1,2)]:} .

Find the matrix X so that X[(1,2,3),(4,5,6)]=[(-7,-8,-9),(2,4,6)]

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CHHAYA PUBLICATION-DETERMINANT -EXERCISE 2C
  1. Find the real values of k for which the following system of linear equ...

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  2. Find the real values of a for which the system of equations a^3x+(a+...

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  3. |{:(1,2,3),(4,5,6),(3,2,2):}|

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  4. |{:(2,3,4),(5,6,1),(3,2,3):}|

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  5. Using determinant : find the area of the triangle formed by joinin...

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  6. Using determinant : Show that the points (a,b+c),(b,c+a) and (c,a+b...

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  7. Using determinant : find the area of the triangle whose vertices ar...

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  8. Using determinant : show that the area of the triangle whose vertice...

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  9. Using determinant : Find the value of t for which the area of the t...

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  10. Using determinant : show that the points (a+1,a) ,(a,a+1) and [(a+1)...

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  11. Using determinant : show that the area of the triangle with vertices...

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  12. Eliminating x and y from the following equations, obtain the value of ...

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  13. Eliminate x,y and z from the following equations: (x)/(y+z)=a,y/(z+x...

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  14. Show that the following system of equations has no solution : x+2y...

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  15. Show that the following system of equations has infinite number of s...

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  16. a-b+c=6,4a+2b+c=11,9a-3b+c=6

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  17. 2x-y=4,x-2y+1=0

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  18. x+y-z=-3,2x+3y+z=2,8y+3z=1

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  19. 2x+3y+z=17,x-y+z=3,3x+2y-2z=4

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  20. x+3y=4,y+3z=7,z+4y=6

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