"Determinance" is not a standard word in English, and it is not used in place of "determinant."

The term "determinant" refers to something that has a significant influence on a particular outcome or decision. It is a factor or element that plays a crucial role in shaping the result of a situation or event.

Imagine you are trying to understand why a certain event happened or why a particular choice was made. In that case, you might look for the determinants, which are the key factors or reasons that strongly influenced the final result or decision.

In mathematics, the determinant is a special value that we can find from a square matrix. Now, what is a matrix? Imagine a rectangular grid of numbers arranged in rows and columns.

The determinant is like a unique number that we can calculate using the numbers in that matrix. This number is important because it tells us two key things:

  1. Invertibility: It helps us understand whether the matrix has an "inverse" or not. The "inverse" is like a magical counterpart that can reverse the effects of the original matrix. If the determinant is not zero, then the matrix has an inverse, and we can undo the changes it makes. But if the determinant is zero, unfortunately, there is no inverse, and we can't fully reverse the transformations.
  2. Scaling and Orientation: The determinant also gives us information about how the matrix changes the size and orientation of space. It's like a magical box that can stretch or compress objects and even flip them around. The determinant tells us by how much the matrix is doing these transformations.

Example sentences

  1. The determinant of the square matrix was calculated to determine if it had an inverse or not.
  2. Understanding the determinants of consumer behavior is essential for marketing strategists.
  3. The political climate and economic stability were significant determinants of the country's growth.
  4. As a chef, the quality of ingredients is a determinant of the final dish's taste and presentation.
  5. The researcher studied the determinants of climate change to identify potential mitigating factors.
  6. The determinant of her success as an athlete was her dedication to consistent training and hard work.
  7. Economic factors are often determinants in deciding the best investment opportunities.
  8. The determinant factor in his decision to accept the job offer was the opportunity for professional growth.
  9. Access to quality education is a crucial determinant of a country's long-term economic development.
  10. The availability of natural resources is a key determinant in determining a region's economic potential.

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Reference:

Definition of DETERMINANT
an element that identifies or determines the nature of something or that fixes or conditions an outcome… See the full definition
determinant
1. something that controls or affects what happens in a particular situation…
Matrix (mathematics) - Wikipedia