Background for eigenvectors
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eigenvectors

/ˈaɪɡənˌvɛktərz/

Meanings
noun
Given a linear transformation T, a vector x such that Ax=\lambda x for some scalar \lambda

Examples :

"When a specific image is slightly resized by a photo editing program without changing its direction, the vectors that represent the image's primary components are called eigenvectors of that resizing transformation. "
math theory number physics

Related Words

Illustration stretched

stretched verb

/stɹɛtʃt/

To lengthen by pulling.

"I stretched the rubber band until it almost broke."

Illustration multiplication

multiplication noun

/ˌmʌltɪplɪˈkeɪʃən/

The process of computing the sum of a number with itself a specified number of times, or any other analogous binary operation that combines other mathematical objects.

"In math class, we learned that multiplication is a quick way to add the same number many times. "

Illustration transformation

transformation noun

/ˌtɹæns.fə(ɹ)ˈmeɪ.ʃən/ /ˌtɹæns.fɔɹˈmeɪ.ʃən/

The act of transforming or the state of being transformed.

"The transformation of the classroom from a noisy space to a quiet learning environment was remarkable. "

Illustration resizing

resizing verb

/ˌriːˈsaɪzɪŋ/ /riˈsaɪzɪŋ/

To alter the size of something.

"She was resizing the photo to fit it into her online profile. "

Illustration slightly

slightly adverb

/ˈslaɪtli/

Slenderly; delicately.

"He was slightly built, but tall."

Illustration direction

direction noun

/d(a)ɪˈɹɛk.ʃən/

A theoretical line (physically or mentally) followed from a point of origin or towards a destination. May be relative (e.g. up, left, outbound, dorsal), geographical (e.g. north), rotational (e.g. clockwise), or with respect to an object or location (e.g. toward Boston).

"Keep going in the same direction."

Illustration components

components noun

/kəmˈpoʊnənts/ /kɑmˈpoʊnənts/

A smaller, self-contained part of a larger entity. Often refers to a manufactured object that is part of a larger device.

"A CPU is a component of a computer."

Illustration specific

specific noun

/spəˈsɪf.ɪk/

A distinguishing attribute or quality.

"The specific of her success was her dedication to studying. "

Illustration specifically

specifically adverb

/spəˈsɪf.ɪk.li/

In a specific manner, applying to or naming a particular thing or things, expressly, explicitly

"My teacher explained the new math formula specifically for students in the advanced class. "

Illustration changing

changing verb

/ˈtʃeɪndʒɪŋ/

To become something different.

"The tadpole changed into a frog.   Stock prices are constantly changing."

Illustration represent

represent verb

/ɹɛp.ɹɪ.ˈzɛnt/

To present again or anew; to present by means of something standing in the place of; to exhibit the counterpart or image of; to typify.

"The painting represents the artist's vision of a peaceful countryside. "

Illustration eigenvector

eigenvector noun

/ˈaɪɡənˌvɛktər/ /ˈaɪɡənˌvɛktɔːr/

Given a linear transformation T, a vector x such that Ax=\lambda x for some scalar \lambda

"When stretching a photograph horizontally, an eigenvector of the transformation could be a vertical line; it remains a vertical line, only changing in length (or possibly direction, if the scaling factor is negative). "