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Evalute the determinants : (i) |{:(3,-...

Evalute the determinants :
(i) `|{:(3,-1,-2),(0,0,1),(3,-5,0):}|`
(ii) `|{:(3,-4,5),(1,1,-2),(2,3,1):}|`
(iii) `|{:(0,1,2),(-1,0,-3),(-2,3,0):}|`
(iv) `|{:(2,-1,-2),(0,2,-1),(3,-5,0):}|`

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Evaluate the determinants (i) |(3,-1,-2),( 0, 0,-1),( 3,-5, 0)| (ii) |(3,-4, 5), (1, 1,-2),( 2, 3, 1)| (iii) |(0, 1, 2),(-1, 0,-3),(-2, 3, 0)| (iv) |(2,-1,-2),( 0, 2,-1),( 3,-5, 0)|

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Find AB and BA if exists from the following matrices A and B: (i) A=[{:(2,3,-1),(0,1,2):}]and B=[{:(2,-6),(-4,0):}] (ii) A=[{:(1,2,3),(0,1,-2),(-1,0,-1):}]and B=[{:(0,0,2),(2,0,0),(0,2,0):}] (iii) A=[{:(0,3,4),(2,1,-2),(1,-3,-1):}]and B=[{:(2,1,3),(-1,0,-2):}]

compute the indicated products . (i) [{:(a,b),(-b,a):}][{:(a,-b),(b,a):}](ii) [{:(1),(2),(3):}][2" "3 " "4 ] (iii) [{:(1,-2),(2,3):}][{:(1,2,3),(2,3,1):}] (iv)[{:(2,3,4),(3,4,5),(4,5,6):}][{:(1,-3,5),(0,2,4),(3,0,5):}] (V) [{:(2,1),(3,2),(-1,1):}][{:(1,0,1),(-1,2,1):}] (vi) [{:(3,-1,3),(-1,0,2):}][{:(2,-3),(1,0),(3,1):}]

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MODERN PUBLICATION-DETERMINANTS-Exercise 4(a) (SHORT ANSWER TYPE QUESTIONS)
  1. Evalute the determinants in queations 1 and 2 : Find the values of x...

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  2. Evalute the determinants in queations 1 and 2 : Find the values of x...

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  3. Solve the equation: |[3,x],[x,1]|=|[3,2],[4,1]|

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  4. Find the value of 'x' if : |{:(3,x),(x,1):}|=|{:(5,2),(4,-1):}|

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  5. Find the value of 'x' if : |{:(2x,3),(5,2):}|=|{:(16,3),(5,2):}|, x ...

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  6. if |(x+1,x-1),(x-3,x+2)|= |(4,-1),(1,3)|. find the value of x.

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  7. Find the value of 'x' if : |{:(-1,2),(4,8):}|=|{:(2,x),(x,-4):}|

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  8. If |xx1x|=|3 4 1 2|, write the positive value of xdot

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  9. If A=[{:(1,3),(4,1):}], then find |3A'|.

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  10. |[3,-1,-2],[ 0, 0,-1],[ 3,-5, 0]|

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  11. Write the minor and cofactor of each element of second column in the f...

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  12. Evalute the determinants : (i) |{:(3,-1,-2),(0,0,1),(3,-5,0):}| (i...

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  13. Evalute the determinants : (i) |{:(3,-1,-2),(0,0,1),(3,-5,0):}| (i...

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  14. Evaluate the following determinants : |{:(3,-4,5),(1,1,-2),(2,3,1):}...

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  15. Evaluate the following determinants by two method : |{:(1,2,4),(-1,3...

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  16. Evaluate the following determinants by two method : |{:(0,2,0),(2,3,...

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  17. Evalute the determinants in queations 1 and 2 : If A = |{:(1,1,-2),(...

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  18. If A=[{:(2,1,1),(1,2,1),(1,1,2):}], then show that : |4A|=64|A|.

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  19. |(1!,2!,3!),(2!,3!,4!),(3!,4!,5!)|=?

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  20. If |{:(x+1,1,1),(1,x+1,1),(-1,1,x+1):}|=0, find the value of 'x'.

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