Irregular plurals in academic Englis (Maths)

The _______(matrix) in linear algebra can have different dimensions.

Answer explanation

The correct choice is 'matrices' because 'matrix' is the singular form, and in linear algebra, multiple matrices can exist with varying dimensions.

The ________(vertex) of a triangle are the points where the sides meet.

Answer explanation

The correct term is 'vertices,' which refers to the points where the sides of a triangle meet. 'Vertex' is singular, while 'vertices' is the plural form, appropriate for describing multiple meeting points.

The _______(datum) collected from the experiment showed interesting patterns.

Answer explanation

The correct choice is 'data' because it is the plural form of 'datum'. In this context, 'data' refers to the collection of information gathered from the experiment, which aligns with the sentence structure.

The circle has a radius of 5 centimeters, and the ______(radius) of the concentric circles increase by 2 centimeters.

Answer explanation

The correct term is 'radii' because it is the plural form of 'radius'. Since the question refers to multiple concentric circles, 'radii' accurately describes the increasing measurements of their radii.

The ______(focus) of an ellipse are the two points that determine its shape.

Answer explanation

The correct term is 'foci', which refers to the two fixed points that define the shape of an ellipse. Each ellipse has two foci, and their positions determine the ellipse's characteristics.

In graph theory, we use ________ (index) to label the vertices of a graph.

Answer explanation

In graph theory, we use 'indices' to label the vertices of a graph. The term 'indices' refers to the plural form of 'index', which is commonly used in mathematical contexts to denote positions or labels.

The linear combination of the ______(basis) of a vector space forms a spanning set.

Answer explanation

The linear combination of the bases of a vector space forms a spanning set. This means that any vector in the space can be expressed as a combination of the basis vectors, confirming that the correct choice is 'bases'.

The __________(phenomenon) observed in quantum mechanics challenge our classical intuitions.

Answer explanation

The correct choice is 'phenomena' because it is the plural form of 'phenomenon', which is needed in this context to refer to multiple observed occurrences in quantum mechanics.

The statistical _____(analysis) of the data revealed significant trends and patterns.

Answer explanation

The correct term is 'analyses' as it is the plural form of 'analysis', which is needed here to indicate multiple statistical evaluations of the data.

When evaluating mathematical models, it is important to consider multiple ______(criterium) for accuracy and efficiency

Answer explanation

The correct term is 'criteria', which is the plural form of 'criterium'. In evaluating models, multiple criteria are essential for assessing accuracy and efficiency.