Matrices Review

Front

What is a matrix?

Back

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

Front

What is the order of a matrix?

Back

The order of a matrix is defined by 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

How do you add two matrices?

Back

To add two matrices, they must have the same order. Add corresponding elements from each matrix.

Front

What is the identity matrix?

Back

The identity matrix is a square matrix with ones on the diagonal and zeros elsewhere. It acts as the multiplicative identity in matrix multiplication.

Front

What is the inverse of a matrix?

Back

The inverse of a matrix A is another matrix, denoted A⁻¹, such that A * A⁻¹ = I, where I is the identity matrix.

Front

What is a determinant?

Back

The determinant is a scalar value that can be computed from the elements of a square matrix and provides important properties of the matrix, such as whether it is invertible.

Front

What is a zero matrix?

Back

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

Front

What does it mean for matrices to be compatible for addition?

Back

Matrices are compatible for addition if they have the same dimensions (same number of rows and columns).

Front

What is a row matrix?

Back

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

Front

What is a column matrix?

Back

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