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Write the value of |a+i b c+i d-c+i d a-...

Write the value of `|a+i b c+i d-c+i d a-i b|` .

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Given,`|[a+i b, c+i d],[-c+i d, a-i b]|`
,`|[a+i b, c+i d],[-c+i d, a-i b]|`
=`(a+i b)xx( a-i b)-(-c+i d) xx(c+id)`
=`(a+i b)xx( a-i b)-(id-c) xx(id+c)`
=`(a^2-(ib)^2)-((id)^2-c^2)`
=`a^2+b^2+d^2+c^2`
...
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RD SHARMA-DETERMINANTS-Solved Examples And Exercises
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  2. If A and B are square matrices of order 3 such that |A|=-1 , |B|=3 ...

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  3. Write the value of |a+i b c+i d-c+i d a-i b| .

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  4. Write the cofactor of a(12) in the matrix [2-3 5 6 0 4 1 5-7]

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  5. If |[2x+5, 3], [5x+2, 9]|=0 , find xdot

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  6. Find the value of x from the following: |[x,4], [2, 2x]|=0

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  7. Write the value of the determinant |A|=|[2,3,4],[5,6,8],[6x,9x,12x]|

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  8. If |A|=2 , where A is 2xx2 matrix, find |a d j\ A| .

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  9. What is the value of the determinant |[0, 2, 0],[ 2, 3, 4],[ 4 ,5 ,...

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  10. For what value of x is the matrix[[6-x,4 ],[3-x,1]] singular?

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  11. A matrix A of order 3xx3 is such that |A|=4 . Find the value of |2A| .

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  12. Evaluate: |cos15osin15osin75ocos75o| .

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  13. If A=[[5 ,3 ,8 ],[2 ,0 ,1 ],[1, 2, 3]] . Write the cofactor of the e...

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  14. If |(x+1,x-1),(x-3,x+2)|=|(4,-1),(1,3)|, then write the value of x .

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  15. If |[2x,x+3 ],[2(x+1),x+1]|=|[1, 5],[ 3 ,5]| , then write the value ...

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  16. If |[3x,7],[-2,4]|=|[8,7],[6,4]| , find the value of xdot

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  17. If |[2x,5] ,[8,x]|=|[6,-2], [7, 3]| , write the value of xdot

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  18. If A is a3x3 matrix, |A| != 0 and |3A|=k|A| , then write the value of ...

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  19. Write the value of the determinant |[p, p+1],[p-1,p]| .

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  20. Write the value of |(x+y,y+z,z+x),(z,x,y),(-3,-3,-3)|

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