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The vertices of a triangle are given in the columns of the matrix T= [0,4,0,0,0,5] If [-1,0,0,-1] is found to preform a transformation, what are the coordinates of the transformed triangle?​

User Treemonkey
by
8.2k points

2 Answers

4 votes

Answer:

A

Explanation:

E2020

User Krycke
by
9.1k points
6 votes

Answer:

(0,0), (-4,0), (0,-5).

Explanation:

Note: Matrices are not in proper format.

Consider the given matrix is


T=\begin{bmatrix}0&4&0\\0&0&5\end{bmatrix}

It means vertices are (0,0), (4,0) and (0,5).

Transformation matrix is


A=\begin{bmatrix}-1&0\\0&-1\end{bmatrix}

To find the coordinates of the transformed triangle multiply both matrices and calculate matrix AT.


AT=\begin{bmatrix}-1&0\\0&-1\end{bmatrix}\begin{bmatrix}0&4&0\\0&0&5\end{bmatrix}


AT=\begin{bmatrix}\left(-1\right)\cdot \:0+0\cdot \:0&\left(-1\right)\cdot \:4+0\cdot \:0&\left(-1\right)\cdot \:0+0\cdot \:5\\ 0\cdot \:0+\left(-1\right)\cdot \:0&0\cdot \:4+\left(-1\right)\cdot \:0&0\cdot \:0+\left(-1\right)\cdot \:5\end{bmatrix}


AT=\begin{bmatrix}0&-4&0\\ 0&0&-5\end{bmatrix}

It means coordinates of the transformed triangle are (0,0), (-4,0), (0,-5).

User DoobieAsDave
by
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