Question

write the standard matrix for transformation that gives reflection through x-axis​

Answer 1

Answer:

The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same. For example, when point P with coordinates (5,4) is reflecting across the X axis and mapped onto point P', the coordinates of P' are (5,-4).

Answer 2

Answer:

[-1  0]

[ 0  1]

Explanation:

From the above question,

          The preferred matrix for reflection thru the x-axis is a 2x2 matrix composed of the values -1 and zero The pinnacle row of the matrix carries the price -1, representing the reflection of the x-coordinate throughout the x-axis, and the cost 0, which represents the lack of exchange in the y-coordinate.

The backside row consists of the cost 0, representing the lack of exchange in the x-coordinate, and the price 1, representing the reflection of the y-coordinate throughout the x-axis. This matrix is used to radically change a given factor in the coordinate aircraft and mirror it throughout the x-axis.

The reflection of the factor throughout the x-axis will have the identical x-coordinate, however a y-coordinate that is the contrary of the unique point's y-coordinate.

This transformation is frequently used in geometry to analyze the symmetry of shapes and objects.

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