Chapter 4: Matrices

Write an equation in slope-intercept form for the line that satisfies the following set of conditions.

Slope $-\frac{4}{3}$ passes through $\left(6,-8\right)$.

Write an equation in slope-intercept form for the line that satisfies the following set of conditions.

passes through $\left(3,7\right)\left(-2,-3\right)$.

Write an equation in slope-intercept form for the line that satisfies the following set of conditions.

Passes through $\left(0,5\right)\left(10,10\right)$.

Find the value of each determinant.

$\left|\begin{array}{ccc}\mathbf{3}& \mathbf{4}& \mathbf{4}\\ \mathbf{2}& \mathbf{1}& \mathbf{5}\\ \mathbf{0}& \mathbf{-}\mathbf{8}& \mathbf{6}\\ & & \end{array}\right|$

Perform the indicated matrix operations. 7.

$\frac{2}{3}\left[\begin{array}{cc}9& 0\\ 12& 15\end{array}\right]+\left[\begin{array}{cc}-2& 3\\ -7& -7\end{array}\right]$

Use Cramer’s Rule to solve each system of equations.

$2x-y+3z=5$

$3x+2y-5z=4$

$x-4y+11z=3$

Solve each equation.

$\left[\begin{array}{cc}9& 13\end{array}\right]\mathbf{=}\left[\begin{array}{cc}x+2y& 4x+1\end{array}\right]$

For exercises 7-10, use the rectangle at the right

Write the coordinates in a vertex matrix

: Find the inverse of each matrix, if it exists.

7.

Find the value of each determinant.

7.$\left|\begin{array}{cc}7& 8\\ 3& -2\\ & \end{array}\right|$