Front

What is a matrix?

Back

A matrix is a rectangular array of numbers arranged in rows and columns.

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., 3x2 means 3 rows and 2 columns).

Front

How do you add two matrices?

Back

You can add two matrices if they have the same dimensions by adding their corresponding elements.

Front

What is the result of multiplying a 2x3 matrix by a 3x2 matrix?

Back

The result is a 2x2 matrix.

Front

What is the identity matrix?

Back

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

Front

What is a zero matrix?

Back

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

Front

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

Back

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

Front

What is a scalar multiplication of a matrix?

Back

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

Front

What is a transpose of a matrix?

Back

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

Front

What is a system of equations?

Back

A system of equations is a set of equations with the same variables that are solved together.