If $A = \begin{bmatrix} 5 & 6 & 3 \\ -4 & 3 & 2 \\ -4 & -7 & 3 \end{bmatrix}$,then the cofactors of all elements of the second row are respectively:

  • A
    $-39, 3, 11$
  • B
    $-39, 27, 11$
  • C
    $39, -3, -11$
  • D
    $-39, -27, 11$

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The sum of the products of the elements of any row of a determinant $A$ with the corresponding co-factors is always equal to

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ElementCo-factor
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$C$. $3$$(3)$ $4$
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$(5)$ $-6$

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Find the minors and cofactors of all the elements of the determinant $\left|\begin{array}{rr}1 & -2 \\ 4 & 3\end{array}\right|$.

Using cofactors of elements of the third column,evaluate $\Delta = \left| \begin{array}{ccc} 1 & x & yz \\ 1 & y & zx \\ 1 & z & xy \end{array} \right|$.

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