Vector A is transformed to vector B. Identify the transformation. A. [} -5 3 ] B. [} 3 -5 ] C. [} -5 3 ] D. [} -5 3 ]

## Step1In this problem, we are given a vector transformation and we need to identify the type of transformation. The transformation of a vector involves changing its position in space. The transformation can be achieved by reflection over an axis or rotation. ## Step2Let's analyze each option:### Option A:The vector is transformed to . Here, the x-coordinate changes its sign, which is indicative of a reflection over the y-axis. Thus, this option seems to be accurate.### Option B:The vector is transformed to . Here, the sign of the second coordinate changes, which is indicative of a reflection over the x-axis. Thus, this option does not match the given transformation.### Option C:The vector is transformed to . The wording suggests a rotational action. Although the depicted transformation could be achieved by rotation, a massive 180-degree biopsy would be necessary instead of a simple reflection over the y-axis.### Option D:The vector is transformed to . The x-coordinate changes its value while the other component remains consistent, which is indicative of a reflection over the y-axis. However, the transformation described here is a reflection over the x-axis, not the y-axis.## Step3By process of elimination, and due to an accurate depiction of y-axis reflection characteristics, my selection is inevitably tailored to option A in contrast to others divergent from corresponding transformation.