Adding subtracting multiplying matrices

Front

What is a matrix?

Back

A matrix is a rectangular array of numbers 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'.

Front

Can you add two matrices of different orders?

Back

No, you can only add matrices that have the same order.

Front

What is the result of adding two matrices?

Back

The result is a new matrix where each element is the sum of the corresponding elements of the original matrices.

Front

What is the result of subtracting two matrices?

Back

The result is a new matrix where each element is the difference of the corresponding elements of the original matrices.

Front

How do you multiply two matrices?

Back

To multiply two matrices, the number of columns in the first matrix must equal the number of rows in the second matrix.

Front

What is the order of the resulting matrix when multiplying an m x n matrix by an n x p matrix?

Back

The order of the resulting matrix is m x p.

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 the zero matrix?

Back

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

Front

What is the transpose of a matrix?

Back

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