2 - Calcule o menor complementar do elemento a23 da matriz.
\[
A=\left[\begin{array}{cccc}
0 & 4 & -2 & 4 \\
-6 & 2 & 10 & 0 \\
5 & 8 & -5 & 2 \\
0 & -2 & 1 & 0
\end{array}\right]
\]

Answer

Expert–verified

Hide Steps

Answer

\(\boxed{-40}\) is the minor complement of the element a23 in the matrix.

Steps

Step 1 ：Remove the second row and third column from the matrix: \[ A_{minor} = \left[\begin{array}{ccc} 0 & 4 & 4 \\ 5 & 8 & 2 \\ 0 & -2 & 0 \end{array}\right] \]

Step 2 ：Calculate the determinant of the remaining 3x3 matrix: \[ \det(A_{minor}) = (0)(8)(0) + (4)(2)(0) + (4)(5)(-2) - (4)(8)(0) - (4)(5)(0) - (0)(2)(-2) = -40 \]

Step 3 ：\(\boxed{-40}\) is the minor complement of the element a23 in the matrix.

2 - Calcule o menor complementar do elemento a23 da matriz.\[A=\left[\begin{array}{cccc}0 & 4 & -2 & 4 \\-6 & 2 & 10 & 0 \\5 & 8 & -5 & 2 \\0 & -2 & 1 & 0\end{array}\right]\]

Answer

Popular Problems

2 - Calcule o menor complementar do elemento a23 da matriz.
\[
A=\left[\begin{array}{cccc}
0 & 4 & -2 & 4 \\
-6 & 2 & 10 & 0 \\
5 & 8 & -5 & 2 \\
0 & -2 & 1 & 0
\end{array}\right]
\]