Matrix

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 3 x 2 matrix has 3 rows and 2 columns.

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 must be true in order to ADD two matrices?

Back

The dimensions must be equal.

Front

Can you multiply two matrices of different dimensions?

Back

No, the number of columns in the first matrix must equal the number of rows in the second matrix.

Front

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

Back

The result is a 2 x 2 matrix.

Front

What is a scalar in matrix operations?

Back

A scalar is a single number that can multiply a matrix, affecting each element of the 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 determinant of a matrix?

Back

The determinant is a special number that can be calculated from a square matrix, indicating whether the matrix is invertible.

Front

What is a zero matrix?

Back

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