행렬의 연산

In the following exercises, evaluate each determinant by expanding by minors along the first row.

$|\begin{array}{ccccccc}-2 & & & 3 & & & -1 \\ -1 & & & 2 & & & -2 \\ 3 & & & 1 & & & -3\end{array}|$

In the following exercises, evaluate each determinant by expanding by minors along the first row.

$|\begin{array}{ccccccc}4 & & & -1 & & & -2 \\ -3 & & & -2 & & & 1 \\ -2 & & & -5 & & & 7\end{array}|$

In the following exercises, evaluate each determinant by expanding by minors along the first row.

$|\begin{array}{ccccccc}-2 & & & -3 & & & -4 \\ 5 & & & -6 & & & 7 \\ -1 & & & 2 & & & 0\end{array}|$

In the following exercises, evaluate each determinant by expanding by minors along the first row.

$|\begin{array}{ccccccc}1 & & & 3 & & & -2 \\ 5 & & & -6 & & & 4 \\ 0 & & & -2 & & & -1\end{array}|$

In the following exercises, evaluate each determinant by expanding by minors.

$|\begin{array}{ccccccc}-5 & & & -1 & & & -4 \\ 4 & & & 0 & & & -3 \\ 2 & & & -2 & & & 6\end{array}|$

In the following exercises, evaluate each determinant by expanding by minors.

$|\begin{array}{ccccccc}4 & & & -1 & & & 3 \\ 3 & & & -2 & & & 2 \\ -1 & & & 0 & & & 4\end{array}|$

In the following exercises, evaluate each determinant by expanding by minors.

$|\begin{array}{ccccccc}3 & & & 5 & & & 4 \\ -1 & & & 3 & & & 0 \\ -2 & & & 6 & & & 1\end{array}|$

In the following exercises, evaluate each determinant by expanding by minors.

$|\begin{array}{ccccccc}2 & & & -4 & & & -3 \\ 5 & & & -1 & & & -4 \\ 3 & & & 2 & & & 0\end{array}|$

Use Cramer’s Rule to Solve Systems of Equations

In the following exercises, solve each system of equations using Cramer’s Rule.

$\left\{\begin{array}{l}-2x+3y=3 \\ x+3y=12\end{array}\right.$

Use Cramer’s Rule to Solve Systems of Equations

In the following exercises, solve each system of equations using Cramer’s Rule.

$\left\{\begin{array}{l}x-2y=-5 \\ 2x-3y=-4\end{array}\right.$

Use Cramer’s Rule to Solve Systems of Equations

In the following exercises, solve each system of equations using Cramer’s Rule.

$\left\{\begin{array}{l}x-3y=-9 \\ 2x+5y=4\end{array}\right.$

Use Cramer’s Rule to Solve Systems of Equations

In the following exercises, solve each system of equations using Cramer’s Rule.

$\left\{\begin{array}{l}2x+y=-4 \\ 3x-2y=-6\end{array}\right.$

Use Cramer’s Rule to Solve Systems of Equations

In the following exercises, solve each system of equations using Cramer’s Rule.

$\left\{\begin{array}{l}x-2y=-5 \\ 2x-3y=-4\end{array}\right.$

Use Cramer’s Rule to Solve Systems of Equations

In the following exercises, solve each system of equations using Cramer’s Rule.

$\left\{\begin{array}{l}x-3y=-9 \\ 2x+5y=4\end{array}\right.$

Use Cramer’s Rule to Solve Systems of Equations

In the following exercises, solve each system of equations using Cramer’s Rule.

$\left\{\begin{array}{l}5x-3y=-1 \\ 2x-y=2\end{array}\right.$

Use Cramer’s Rule to Solve Systems of Equations

In the following exercises, solve each system of equations using Cramer’s Rule.

$\left\{\begin{array}{l}3x+8y=-3 \\ 2x+5y=-3\end{array}\right.$

Use Cramer’s Rule to Solve Systems of Equations

In the following exercises, solve each system of equations using Cramer’s Rule.

$\left\{\begin{array}{l}6x-5y+2z=3 \\ 2x+y-4z=5 \\ 3x-3y+z=-1\end{array}\right.$

Use Cramer’s Rule to Solve Systems of Equations

In the following exercises, solve each system of equations using Cramer’s Rule.

$\left\{\begin{array}{l}4x-3y+z=7 \\ 2x-5y-4z=3 \\ 3x-2y-2z=-7\end{array}\right.$

Use Cramer’s Rule to Solve Systems of Equations

In the following exercises, solve each system of equations using Cramer’s Rule.

$\left\{\begin{array}{l}2x-5y+3z=8 \\ 3x-y+4z=7 \\ x+3y+2z=-3\end{array}\right.$

Use Cramer’s Rule to Solve Systems of Equations

In the following exercises, solve each system of equations using Cramer’s Rule.

$\left\{\begin{array}{l}11x+9y+2z=-9 \\ 7x+5y+3z=-7 \\ 4x+3y+z=-3\end{array}\right.$