Which radiographic matrix would produce the greatest spatial frequency?

The matrix size in digital radiography refers to the number of pixels that make up the image, including both the width and height. When considering spatial frequency, this relates closely to the ability of a matrix to display finer details within an image. A higher matrix size indicates more pixels, which in turn allows for more detail to be captured.

Among the options provided, the 2048 x 2048 matrix is the largest. A larger matrix means each pixel can represent a smaller area of the subject being imaged, leading to an increased spatial resolution and frequency. This results in the ability to resolve smaller structures in the image, producing sharper and more detailed radiographs.

In contrast, smaller matrix sizes like 512 x 512 or even 1280 x 1280 would not have the same capacity to display fine details, as they provide fewer pixels to represent the same size area of the subject. Therefore, the 2048 x 2048 matrix is the option that provides the highest spatial frequency due to its extensive pixel count, enabling the representation of finer details in the radiographic image.