What is the significance of trace?

A trace of something is just a hint or suggestion of it, a very small amount left behind — like the sad cookie crumbs at the bottom of an empty cookie jar. There are more meanings we can trace to this word trace. As a verb, trace means to follow the course or trail of something, sometimes even chasing or hunting it.

What does trace mean in science?

A mark left by anything passing; a track; a path; a course; a footprint; a vestige; as, the trace of a carriage or sled; the trace of a deer; a sinuous trace. 2. ( Science: chemistry) A very small quantity of an element or compound in a given substance, especially when s.

What is trace in science?

A trace element, also called minor element, is a chemical element whose concentration (or other measure of amount) is very low (a “trace amount”). In biochemistry, an essential trace element is a dietary element that is needed in very minute quantities for the proper growth, development, and physiology of the organism.

What does the trace of a covariance matrix represent?

For instance, in a 10 x 10 matrix, the trace is the sum of the diagonal elements. The total variation, therefore, of a random vector is simply the trace of the population variance-covariance matrix. Thus, the total variation is equal to the sum of the population variances.

What does trace mean in chemistry?

In analytical chemistry, a trace element is one whose average concentration is less than 100 parts per million (ppm) measured in the atomic count or less than 100 micrograms per gram.

What is a trace element in chemistry?

Trace elements (or trace metals) are minerals present in living tissues in small amounts. Trace elements function primarily as catalysts in enzyme systems; some metallic ions, such as iron and copper, participate in oxidation-reduction reactions in energy metabolism.

What are trace elements in the body?

Essential trace elements of the human body include zinc (Zn), copper (Cu), selenium (Se), chromium (Cr), cobalt (Co), iodine (I), manga- nese (Mn), and molybdenum (Mo).

What is trace of a matrix give an example?

Explanation: Trace of a matrix is defined only for a square matrix . It is the sum of the elements on the main diagonal, from the upper left to the lower right, of the matrix. For example in the matrix A. A=⎛⎜ ⎜ ⎜ ⎜ ⎜ ⎜⎝362−30−251070−4−28671−49083754⎞⎟ ⎟ ⎟ ⎟ ⎟ ⎟⎠

What is meant by trace of a matrix Mcq?

Explanation: Trace is the sum of the elements of leading diagonal of matrix.

What do the eigenvectors of a covariance matrix represent?

The covariance matrix represents a linear transformation of the original data. The largest eigenvector, i.e. the eigenvector with the largest corresponding eigenvalue, always points in the direction of the largest variance of the data and thereby defines its orientation.