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Consider the determinant Delta=|[0,2,6]...

Consider the determinant
`Delta=|[0,2,6],[1,5,0],[3,7,1]|`
Write the minors of the element in the first column ?

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The minors are given below:
`M_11=|[5,0],[7,1]|=5-0=5,`
`M_21=|[2,6],[7,1]|=2-42=-40`
`M_31=|[2,6],[5,0]|=0-30=-30`
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A N EXCEL PUBLICATION-DETERMINANTS-QUESTION TYPE
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  5. Using properties of determinants prove the following. abs[[b+c,a,...

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  6. Consider the determinant Delta=abs[[x,x^2,1+x^3],[y,y^2,1+y^3],[z,z^2,...

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  7. Using properties, prove that |[1,omega,omega^2],[omega,omega^2,1],[om...

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  8. Without expanding the determinant prove the following. |[a-b,b-c,c-a...

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  10. Consider the determinant D=|[1,3,5],[2,6,10],[31,11,38]| On taking 2 ...

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  11. Consider the determinant D=|[1,3,5],[2,6,10],[31,11,38]| Evaluate De...

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  12. Consider the determinant Delta =|[1,a,a^2-bc],[1,b,b^2-ca],[1,c,c^2-b...

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  13. Consider the determinant Delta =|[1,a,a^2-bc],[1,b,b^2-ca],[1,c,c^2-b...

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  14. Consider the equation |[3x-8,3,3],[3,3x-8,3],[3,3,3x-8]|=0 OperatingC1...

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  15. Consider the equation |[3x-8,3,3],[3,3x-8,3],[3,3,3x-8]|=0 Solve the ...

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  16. Without expanding the determinant prove the following. |[x,a,x+a],[y...

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  20. Without expanding the determinant prove the following. |[a-b,b-c,c-a...

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  21. By using properties of determinants, prove that |[0,a ,-b],[-a,0,-c],...

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