Matrices Part 2

Front

What is a matrix?

Back

A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.

Front

What are the dimensions of a matrix?

Back

The dimensions of a matrix are given in terms of the number of rows and columns it contains, expressed as 'm x n' where 'm' is the number of rows and 'n' is the number of columns.

Front

What is a square matrix?

Back

A square matrix is a matrix that has the same number of rows and columns.

Front

What is the transpose of a matrix?

Back

The transpose of a matrix is obtained by swapping its rows and columns.

Front

What is a determinant?

Back

The determinant is a scalar value that is a function of the entries of a square matrix and provides important properties of the matrix.

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 an identity matrix?

Back

An identity matrix is a square matrix with ones on the diagonal and zeros elsewhere.

Front

What is the inverse of a matrix?

Back

The inverse of a matrix A is another matrix, denoted A^-1, such that when A is multiplied by A^-1, the result is the identity matrix.

Front

What is a zero matrix?

Back

A zero matrix is a matrix in which all the elements are zero.

Front

What is a row matrix?

Back

A row matrix is a matrix that has only one row.