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Evaluate abs([23,13,4],[42,39,12],[67,52...

Evaluate `abs([23,13,4],[42,39,12],[67,52,16])`

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abs(A)= abs([4,2],[-1,6])

Find the Determinant :- |[67, 19, 21], [39, 13, 14], [81, 24, 26]|

Find the mode and median of the data: 13,16,12,14,19,12,14,13,14

{:(18,11,19),(12,13,16),(36,4,?):}

Prepare a frequency table of the following scores obtained by 50 students in a test: 42,51,21,42,37,37,42,49,38,52,7,33,17 44,39,7,14,27,39,42,42,62,37,39,67,51, 53,53,59,41,29,38,27,31,54,19,53,51,22 61,42,39,59,47,33,34,16,37,57,43

The marks obtained by 12 students of a class in a test are 36, 27, 5, 19, 34, 23, 37, 23, 16, 23, 20, 38. Find mode.

Find the mean deviation about the median for the data :13,17,16,14,11,13,10,16,11,18,12,17

If A=[[1,-2,3],[-4,2,5]] & B=[[1,3],[-1,0],[2,4]] then verify that (AB)'=B'A'

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MAHAVEER PUBLICATION-DETERMINANTS-QUESTION BANK
  1. Evaluate abs([2,4,0],[-1,1,2],[0,-2,1])

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  2. Evalaute abs([2,3,4],[8,12,6],[97,98,99])

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  3. Evaluate abs([23,13,4],[42,39,12],[67,52,16])

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  4. Evaluate abs([98,81,321],[88,72,423],[55,45,657])

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  5. Evaluate abs([a-b,b-c,c-a],[b-c,c-a,a-b],[c-a,a-b,b-c])

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  6. Prove that abs([1,1,1],[1,1+a,1],[1,1,1+b])=ab

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  7. ([1,1,1],[a,b,c],[a^2,b^2,c^2])=(a-b)(b-c)(c-a)

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  8. (iii) सारणिक का बिना विस्तार किये हुए सिद्ध करें कि |{:(a,b,c),(x,y,z)...

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  9. Prove that : Det[[x,x^2,x^3],[y,y^2,y^3],[z,z^2,z^3]]=xyz(x-y)(y-z)(z-...

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  10. Show that abs([y+z ,x,x],[y,z+x,y],[z,z,x+y])=4xyz

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  11. Show that abs([x,b,c],[x,b,y],[y,b,c])=b(x-y)(c-y)

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  12. Prove that the determinate abs([x,sintheta,costheta],[-sintheta,-x,1],...

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  13. Without expanding the determinant prove that abs([a,a^2,bc],[b,b^2,...

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  14. Solve the equation |x+a xxxx+a xxxx+a|=0, a!= 0

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  15. Find minors and cofactors of all the elements of the determinant abs([...

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  16. Solve by Cramer's rule: 3x-2y=4 6x-y=11

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  17. Solve by Cramer's rule: 3x+2y=4 8x+3y=13

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  18. Solve by Cramer's rule: 3x-2y=4 x-4y=-2

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  19. Solve by cramer's rule : 3x-5y=21 5x+y=7

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  20. Solve by cramer's rule : x+y+z=3 2x-y+3z=4 x+2y-z=2

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