Matrix Operations

Front

What is a matrix?

Back

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

Front

How do you determine the dimensions of a matrix?

Back

The dimensions of a matrix are given by the number of rows and columns it contains, expressed as 'rows x columns'.

Front

What is the dimension of a 5x4 matrix?

Back

5 rows and 4 columns.

Front

Can you multiply a 2x3 matrix by a 2x5 matrix?

Back

No, the product is undefined because the number of columns in the first matrix (3) does not equal the number of rows in the second matrix (2).

Front

What must be true in order to add two matrices?

Back

Their dimensions must be equal.

Front

What is the result of adding a 2x2 matrix to a 2x2 matrix?

Back

The result is another 2x2 matrix.

Front

What is the product of a 2x3 matrix and a 3x2 matrix?

Back

The product is a 2x2 matrix.

Front

What is the identity matrix?

Back

An 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 transpose of a matrix?

Back

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