Matrix Flashcard #1

Front

What are the dimensions of a matrix?

Back

The dimensions of a matrix are given in the form of rows x columns (e.g., 3 x 2 means 3 rows and 2 columns).

Front

How do you determine the size of a matrix?

Back

The size of a matrix is determined by counting the number of rows and columns it contains.

Front

What is a determinant in the context of matrices?

Back

The determinant is a scalar value that is a function of the entries of a square matrix, providing important properties such as whether the matrix is invertible.

Front

How do you calculate the determinant of a 2x2 matrix?

Back

For a 2x2 matrix [[a, b], [c, d]], the determinant is calculated as ad - bc.

Front

What is matrix addition?

Back

Matrix addition involves adding corresponding elements of two matrices of the same dimensions.

Front

How do you find the sum of two matrices A and B?

Back

To find A + B, add each corresponding element from matrices A and B.

Front

What is the result of adding a 3x2 matrix and a 3x2 matrix?

Back

The result will also be a 3x2 matrix.

Front

What is the significance of the number of rows in a matrix?

Back

The number of rows in a matrix indicates how many data points or observations are represented.

Front

What is the significance of the number of columns in a matrix?

Back

The number of columns in a matrix indicates how many variables or features are represented.

Front

Can a matrix have different numbers of rows and columns?

Back

Yes, a matrix can have different numbers of rows and columns, resulting in a rectangular matrix.