Question

Player

3-Point Shots

Field Goals

Free Throws

Williams

2

7

6

Porter

5

4

5

Three-point shots are worth 3 points each. Field goals are worth 2 points each. Free throws are worth 1 point each. How many points did each player score? Use matrices to solve the problem.

Answer 1

@RoseDryer

Answer 2

\[\left[\begin{matrix}2 & 7 & 6 \\ 5 & 4\ & 5\end{matrix}\right]\]
First matix.

Answer 3

then what do i do next?

Answer 4

The second Matrix is
[3]
[2]
[1]

Answer 5

Multiply them
First matrices is a 2x3 second is a 3x1
So you answer will be a 2x1

Answer 6

6+14+6=26
15+8+5=28
Giving you a matrix of
[26]
[28]

Answer 7

thanks! can you help me with this one too

Use matrices to solve ths system.

Answer 8

I can kind of help you.
\[\left[\begin{matrix}2 & 3 \\ 5 & 8\end{matrix}\right]\left[\begin{matrix}x \\ y \end{matrix}\right]=\left[\begin{matrix}4\\ 11\end{matrix}\right]\]

Answer 9

\[A^{-1}=\frac{ 1 }{ \det A }\left[\begin{matrix}8 & -3 \\ -5 & 2\end{matrix}\right]\]

Answer 10

\[A^{1}=\frac{ 1 }{ 16-15 }= \frac{ 1 }{ 1 }=1\left[\begin{matrix}8 & -3 \\ -5 & 2\end{matrix}\right]\]

Answer 11

\[A^{-1}=\left[\begin{matrix}8 & -3 \\ -5 & 2\end{matrix}\right]\]

Answer 12

\[\left[\begin{matrix}8 & -3 \\ -5 & 2\end{matrix}\right] \left[\begin{matrix}2 & 3 \\ 5 & 8\end{matrix}\right] \left[\begin{matrix}x \\ y\end{matrix}\right]=\left[\begin{matrix}8 & -3 \\ -5 & 2\end{matrix}\right] \left[\begin{matrix}4 \\11\end{matrix}\right]\]

Answer 13

\[\left[\begin{matrix}1 & 0 \\ 0 & 1\end{matrix}\right] \left[\begin{matrix}x \\ y\end{matrix}\right]= \left[\begin{matrix}-1 \\ 2\end{matrix}\right]\]

Answer 14

@Best_Mathematician What happens to the matrix \[\left[\begin{matrix}1 & 0 \\ 0 & 1\end{matrix}\right]\]

Answer 15

@ladydeadpool
\[\left[\begin{matrix}x\\ y\end{matrix}\right]=\left[\begin{matrix}-1 \\ 2 \end{matrix}\right]\]

Answer 16

i really dont know. I never took stats

Answer 17

can you help me with this last one too?
A triangle has vertices (1, 4), (1, 1), and (−3, 1). The triangle is dilated by a scale factor of 2, then translated 5 units up, and then rotated 90° counterclockwise about the origin. What are the vertices of the image of the triangle?

Answer 18

Yeah hold on a sec. @Best_Mathematician Thanks anyways.

Answer 19

\[2\left[\begin{matrix}1 & 1 & -3 \\ 4 & 1 & 1\end{matrix}\right]=\left[\begin{matrix}2 & 2 & -6 \\ 8 & 2 & 2\end{matrix}\right]\]Dilation^^

Answer 20

\[\left[\begin{matrix}2 & 2 & -6 \\ 8 & 2 & 2\end{matrix}\right]+\left[\begin{matrix}0 & 0 & 0 \\ 5 & 5 & 5\end{matrix}\right]=\left[\begin{matrix}2 & 2 & -6\\ 13 & 7 & 7\end{matrix}\right]\]
Translation^^

Answer 21

\[\left[\begin{matrix}0 & -1 \\ -1 & 0\end{matrix}\right]\left[\begin{matrix}2 & 2 & -6 \\ 13 & 7 & 7\end{matrix}\right]=\left[\begin{matrix}-13 & -7 & -7 \\ -2 & -2 & 6\end{matrix}\right]\]Rotation^^

Answer 22

Final points for
A (-13,-2)
B (-7,-2)
C (-7, 6)

Answer 23

thank you so much!

Answer 24

No problem!