Matrices

Front

What are matrices?

Back

Matrices are rectangular arrays of numbers, symbols, or expressions, arranged in rows and columns.

Front

What is the dimension of a matrix?

Back

The dimension of a matrix is defined by the number of rows and columns it contains, expressed as 'rows x columns'.

Front

Can you multiply a 2x3 matrix by a 3x12 matrix?

Back

Yes, you can multiply a 2x3 matrix by a 3x12 matrix because the number of columns in the first matrix (3) matches the number of rows in the second matrix (3).

Front

What must be true in order to ADD two matrices?

Back

The dimensions of the two matrices must be equal.

Front

What is the result of subtracting two matrices?

Back

The result of subtracting two matrices is a new matrix formed by subtracting corresponding elements.

Front

What comes first in the order of a matrix?

Back

In a matrix, the order is defined by the number of rows first, followed by the number of columns.

Front

What is a square matrix?

Back

A square matrix is a matrix that has the same number of rows and columns.

Front

What is a zero matrix?

Back

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

Front

What is the identity matrix?

Back

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

Front

How do you determine the dimensions of a matrix?

Back

To determine the dimensions of a matrix, count the number of rows and columns.