Question

Which of the following rules best describes the matrix below? (Picture)

Answer 1

The correct option is b.

Explanation:

The rule of rotation of 90° counterclockwise about the origin is defined by the matrix

`\begin{bmatrix}0 &-1 \\ 1 & 0\end{bmatrix}`

The rule of reflection of the line y=x is defined by the matrix

`\begin{bmatrix}0 &1 \\ 1 & 0\end{bmatrix}`

The rule of rotation of 180° about the origin is defined by the matrix

`\begin{bmatrix}-1 &0 \\ 0 & -1\end{bmatrix}`

The rule of translation of 1 unit left and 1 unit up is defined by the matrix

`\begin{bmatrix}1 &0 \\ 0 & 1\end{bmatrix}`

Only the rule of reflection of the line y=x is defined by the given matrix, therefore the correct option is b.

Answer 2

option b

reflection over the line y = x

Explanation:

Matrix for every option is mention below

a)

rotation of 90° counter clockwise about the origin

0 -1

1 0

b)

rotation of 180° about the origin

-1 0

0 -1

c)

for a reflection in the line y=x

0 1

1 0

d)

translation 1 unit left and 1 unit up

1 0

0 1