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Evaluate the following determinants: [...

Evaluate the following determinants:
`[[16,19,13],[15,18,12],[14,17,11]]`

Text Solution

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`[[16,19,13],[15,18,12],[14,17,11]]=[[1,1,1],[1,1,1],[14,17,11]]`
`(R_1=R_1-R_2,R_2=R_2-R_3)`
=0`(because R_1=R_2)`
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MBD PUBLICATION-DETERMINATES-QUESTION BANK
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  2. Evaluate the following determinants: [[14,3,28],[17,9,34],[25,9,50]]

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  5. Evaluate the following determinants: [[1,1,1],[2,3,4],[3,4,6]]

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  6. Evaluate the following determinants: [[1,2,3],[3,5,7],[8,14,20]]

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  7. Evaluate the following determinants: [[1^2,2^2,3^2],[2^2,3^2,4^2],[3...

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  10. Evaluate the following determinants: [[0,a^2,b],[b^2,0,a^2],[a,b^2,0...

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  11. Evaluate the following determinants: [[a-b,b-c,c-a],[x-y,y-z,z-x],[p...

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  12. Evaluate the following determinants: [[a-b,b-c,c-a],[b-c,c-a,a-b],[c...

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  13. If [[1,1,1],[1,1+x,1],[1,1,1+y]]=0 what are x and y?

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  14. For what value fo x [[2x,0,0],[0,1,2],[-1,2,0]]=[[1,0,0],[2,3,4],[0,...

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  15. Solve [[x+a,0,0],[a,x+b,0],[a,0,x+c]]=0

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  16. Solve [[a+x,a-x,a-x],[a-x,a+x,a-x],[a-x,a-x,a+x]]=0

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  17. Solve [[x+a,b,c],[a,x+b,c],[a,b,x+c]]=0

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  20. Evaluate [[a,a^2-bc,1],[b,b^2-ac,1],[c,c^2-ab,1]]

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