linear combinations of vs linear combination of

Both phrases are correct, but they are used in different contexts. 'Linear combinations of' is used when referring to multiple linear combinations, while 'linear combination of' is used when referring to a single linear combination.

Last updated: March 25, 2024 • 778 views

This phrase is correct and commonly used when referring to multiple linear combinations.

"linear combinations of"

This phrase is used when discussing the combination of multiple linear expressions or vectors.

Examples:

The solution can be expressed as linear combinations of the given vectors.
We can represent the data as linear combinations of the basis vectors.

Show examples from the web [+]

The statistical analysis reduces the information to two components, each of which is a linear combination of the same six online variables.
The term "Acrylates" is used to describe linear, non-cross linked copolymers that contain combinations of acrylic acid, methacrylic acid and their methyl, ethyl, propyl or butyl esters.
"Focal plane array" (6) means a linear or two-dimensional planar layer, or combination of planar layers, of individual detector elements, with or without readout electronics, which work in the focal plane.
"Focal plane array" (6) means a linear or two-dimensional planar layer, or combination of planar layers, of individual detector elements, with or without readout electronics, which work in the focal plane.
A combination of measures should be considered.
The combination of acids and sugar sounds like ingredients.
It was a combination of medication and intensive sessions.
That was one potent combination of verbal diarrhea and stunned silence.
It is a combination of competitiveness and cohesion.
The third option is a combination of those two forms.
This combination of interests had practical consequences.
The combination of these last two instruments can prove redoubtable.
Tortoiseshell is a combination of colors.
Combination of henna and iron oxide or something.
A combination of poor penmanship and homemade inks.
We have a combination of factors.
Competent authorities may apply a combination of methods 1, 2 and 3, or a combination of two of these methods.
Part 5 - Combinations of credit risk mitigation in the Standardised Approach
However, a combination of several results per version indicating the worst case is permissible.
To actively support innovation, a combination of instruments is usually needed.

Alternatives:

combinations of linear
linear mixtures of
linear sums of
linear compositions of
linear amalgamations of

This phrase is correct and commonly used when referring to a single linear combination.

"linear combination of "

This phrase is used when discussing a single linear expression or vector that is a combination of other elements.

Examples:

The vector is a linear combination of the basis vectors.
Each data point can be seen as a linear combination of the features.

Show examples from the web [+]

The statistical analysis reduces the information to two components, each of which is a linear combination of the same six online variables.
The term "Acrylates" is used to describe linear, non-cross linked copolymers that contain combinations of acrylic acid, methacrylic acid and their methyl, ethyl, propyl or butyl esters.
"Focal plane array" (6) means a linear or two-dimensional planar layer, or combination of planar layers, of individual detector elements, with or without readout electronics, which work in the focal plane.
"Focal plane array" (6) means a linear or two-dimensional planar layer, or combination of planar layers, of individual detector elements, with or without readout electronics, which work in the focal plane.
A combination of measures should be considered.
The combination of acids and sugar sounds like ingredients.
It was a combination of medication and intensive sessions.
That was one potent combination of verbal diarrhea and stunned silence.
It is a combination of competitiveness and cohesion.
The third option is a combination of those two forms.
This combination of interests had practical consequences.
The combination of these last two instruments can prove redoubtable.
Tortoiseshell is a combination of colors.
Combination of henna and iron oxide or something.
A combination of poor penmanship and homemade inks.
We have a combination of factors.
Competent authorities may apply a combination of methods 1, 2 and 3, or a combination of two of these methods.
Part 5 - Combinations of credit risk mitigation in the Standardised Approach
However, a combination of several results per version indicating the worst case is permissible.
To actively support innovation, a combination of instruments is usually needed.

Alternatives:

combination of linear
mixture of linear
sum of linear
composition of linear
amalgamation of linear

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linear combinations of vs linear combination of