Matrix and Transformation Concepts Flashcard

Front

What do the dimensions of a matrix refer to?

Back

The number of rows and columns.

Front

What is a minor in the context of matrices?

Back

The determinant of a smaller matrix within a larger one.

Front

What is a rotation in geometry?

Back

A turn around a point.

Front

What is an element in the context of matrices?

Back

An individual number within the matrix.

Front

What is a reflection in geometry?

Back

A flip over a line.

Front

What is a matrix?

Back

A rectangular array of numbers arranged in rows and columns.

Front

What is the determinant of a matrix?

Back

A special number that can be calculated from its elements, used to determine if a matrix is invertible.

Front

What does it mean to transpose a matrix?

Back

To flip a matrix over its diagonal, switching the row and column indices.

Front

What is a vector?

Back

A quantity that has both magnitude and direction, often represented as an array of numbers.

Front

What is a linear transformation?

Back

A mapping between two vector spaces that preserves the operations of vector addition and scalar multiplication.