matrix operation

USAGE SUMMARY

The phrase "matrix operation" is correct and usable in written English.
It can be used in mathematical or computational contexts when referring to operations performed on matrices, such as addition, multiplication, or inversion. Example: "In linear algebra, a matrix operation can be used to solve systems of equations efficiently."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

46 human-written examples

Then the covariance matrix operation is performed.

EURASIP Journal on Embedded Systems

The mutual relationship can be obtained by the matrix operation shown in the formula (12).

EURASIP Journal on Embedded Systems

Additionally, a matrix operation is also proposed to obtain the transmission information from the received codeword.

EURASIP Journal on Wireless Communications and Networking

However, it is not in a standard matrix operation form and cannot be directly solved.

EURASIP Journal on Advances in Signal Processing

The algorithm's matrix operation implementation is based on the COM component technology toolbox in Matlab 7.0.

Procedia - Social and Behavioral Sciences

Therefore, the quality of the approximation depends on how close to shift-invariant the summed matrix operation is.

Advanced Structural and Chemical Imaging

Human-verified similar examples from authoritative sources

Similar Expressions

14 human-written examples

As an example of complex matrix operations decomposition, Fig. 4 shows the required operators to perform 2×2 complex matrix multiplication operation.

EURASIP Journal on Embedded Systems

Professor Strang is earnest and enthusiastic — "When we do matrix operations, we've got, like, to be able to see the big picture" — and those feelings are infectious.

The New York Times

Therefore, the matrix operation-multiplication by (E_{2}) does not change the rank of (B_{i}), and for A in the set (3.5), (Ahat {f}_{v}=0) is a self-adjoint vertex condition at v whenever (B_{v}hat{f}_{v}=0) is a self-adjoint vertex condition.

Boundary Value Problems

Many practical applications include matrix operations as essential procedures.

Future Generation Computer Systems

PTC Mathcad performs many complex vector and matrix operations.

Essential PTC Mathcad® Prime® 3.0 A Guide for New and Current Users

Expert writing Tips

Best practice

When describing specific "matrix operations", be precise by specifying the type of operation, such as "matrix multiplication" or "matrix inversion", for clarity.

Common error

Avoid using "matrix operation" as a substitute for specific matrix operations like "matrix inversion" or "matrix multiplication". Always specify the exact type of operation when precision is needed.

Linguistic Context

The phrase "matrix operation" functions as a noun phrase, typically serving as the subject or object of a sentence. It describes a process or action performed on a matrix. Ludwig AI's examples showcase its use in scientific and computational contexts.

Expression frequency: Common

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Academia

0%

Ludwig's WRAP-UP

In summary, "matrix operation" is a noun phrase commonly used in scientific and technical writing to describe mathematical processes involving matrices. Ludwig AI's analysis, supported by numerous examples, confirms that the phrase is grammatically correct and predominantly used in formal contexts, especially within science. When using the phrase, it's crucial to be precise about the specific operation to avoid ambiguity, as confirmed by Ludwig AI. Alternatives like "matrix manipulation" or "matrix calculation" can be used for variety, but always prioritize clarity and precision in technical contexts.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

matrix manipulation

Focuses on the act of changing or modifying matrices.

matrix calculation

Emphasizes the computational aspect of working with matrices.

matrix computation

Similar to matrix calculation, but slightly more formal.

linear algebra operation

Broader term, encompasses various operations within linear algebra involving matrices.

matrix transformation

Highlights the change in matrix form or representation.

array operation

Generalizes the operation to arrays, including matrices.

numerical linear algebra

Focuses on numerical methods to solve linear algebra problems.

tensor operation

Extends the concept to tensors, which are generalizations of matrices.

mathematical operation on matrices

More verbose, specifies the type of operation being performed.

algebraic manipulation of matrices

Highlights the algebraic nature of the manipulation.

FAQs

How is "matrix operation" used in a sentence?

The phrase "matrix operation" is typically used to describe a process that transforms or manipulates a matrix. For example: "The algorithm involves a complex "matrix operation" to solve the system of equations".

What are some alternatives to "matrix operation"?

Depending on the context, you can use alternatives such as "matrix manipulation", "matrix calculation", or "linear algebra operation".

Which is more accurate, "matrix operation" or "matrix function"?

Both "matrix operation" and "matrix function" are valid, but "matrix operation" generally refers to a specific process or transformation applied to a matrix, while "matrix function" refers to a function that takes a matrix as an argument and returns a matrix.

What's the difference between "matrix operation" and "array operation"?

"Matrix operation" specifically applies to matrices, which are two-dimensional arrays. "Array operation" is a more general term that can apply to arrays of any dimension, including vectors and tensors.