Matrix Test Review 12/19/25

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 the form 'rows x columns'. For example, a 2 x 4 matrix has 2 rows and 4 columns.

Front

How do you find the inverse of a 2x2 matrix?

Back

For a 2x2 matrix A = [[a, b], [c, d]], the inverse A^-1 is given by (1/det(A)) * [[d, -b], [-c, a]], where det(A) = ad - bc.

Front

What is the determinant of a 2x2 matrix?

Back

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

Front

What does it mean for two matrices to be equal?

Back

Two matrices are equal if they have the same dimensions and all corresponding elements are equal.

Front

What is a scalar multiplication of a matrix?

Back

Scalar multiplication involves multiplying each element of a matrix by a scalar (a single number).

Front

How do you add two matrices?

Back

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

Front

What is a zero matrix?

Back

A zero matrix is a matrix in which all elements are zero. It acts as the additive identity in matrix addition.

Front

What is a row matrix?

Back

A row matrix is a matrix that has only one row and multiple columns.

Front

What is a column matrix?

Back

A column matrix is a matrix that has only one column and multiple rows.