91Ó°ÊÓ

Solve each equation.

$\left[\begin{array}{cc}{\mathbf{x}}^2\mathbf{+}\mathbf{1}& 5-y\\ x+y& y-4\end{array}\right]\mathbf{=}\left[\begin{array}{cc}5& x\\ 5& 3\end{array}\right]$

Use matrices$A$, $B$, $C$and $D$to find the following.

$A=\left[\begin{array}{cc}5& 7\\ −1& 6\\ 3& −9\end{array}\right],\text{ â¶Ä‰}B=\left[\begin{array}{cc}8& 3\\ 5& 1\\ 4& 4\end{array}\right],\text{ â¶Ä‰}C=\left[\begin{array}{cc}0& 4\\ −2& 5\\ 7& −1\end{array}\right],\text{ â¶Ä‰}D=\left[\begin{array}{cc}6& 2\\ 9& 0\\ −3& 0\end{array}\right]$

24. $A+B$

Find each product, if possible.

$\left[\begin{array}{cc}7& 3\\ 0& 2\\ 5& 5\end{array}\right]â‹\dots \left[\begin{array}{ccc}−2& 1& 4\\ 3& −5& 2\\ 4& 3& 1\end{array}\right]$

Find the inverse of each matrix, if it exists.24.

$\left[\begin{array}{cc}−3& −2\\ 6& 4\end{array}\right]$

Triangle $DEF$ with vertices $D\left(-2,2\right),E\left(3,5\right),\text{and}F\left(5,-2\right)$ is translated so that $D\text{'}$ is at $\left(1,-5\right)$. Find the coordinates of $E\text{'}\text{and}F\text{'}$.

Use matrices$A$, $B$, $C$and $D$to find the following.

$A=\left[\begin{array}{cc}5& 7\\ −1& 6\\ 3& −9\end{array}\right],\text{ â¶Ä‰}B=\left[\begin{array}{cc}8& 3\\ 5& 1\\ 4& 4\end{array}\right],\text{ â¶Ä‰}C=\left[\begin{array}{cc}0& 4\\ −2& 5\\ 7& −1\end{array}\right],\text{ â¶Ä‰}D=\left[\begin{array}{cc}6& 2\\ 9& 0\\ −3& 0\end{array}\right]$

25. $D-B$

Find the value of each determinant.

$\left|\begin{array}{cc}7& 5.2\\ −4& 1.6\end{array}\right|$

Two sides of a parallelogram are contained in lines whose equations are $2.3x+1.2y=2.1$and $4.1x-0.5y=14.3$. Find the coordinates of a vertex of the parallelogram.

A triangle is rotated $90°$ counter clockwise about the origin. The coordinates of the vertices are $J\text{'}\left(-3,-5\right),K\text{'}\left(-2,7\right),\text{and}L\text{'}\left(1,4\right)$. What were the coordinates of the triangle in its original position.

Find the inverse of each matrix, if it exists.25.

$\left[\begin{array}{cc}−3& 7\\ 2& −6\end{array}\right]$