Matrices

Front

What is a matrix?

Back

A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.

Front

How do you identify the dimensions of a matrix?

Back

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

Front

What is a scalar in matrix multiplication?

Back

A scalar is a single number that can multiply each entry of a matrix.

Front

What is the result of adding two matrices?

Back

The result of adding two matrices is a new matrix where each entry is the sum of the corresponding entries of the original matrices.

Front

What is the result of multiplying a matrix by a scalar?

Back

The result is a new matrix where each entry is multiplied by that scalar.

Front

How do you perform matrix multiplication?

Back

To multiply two matrices, the number of columns in the first matrix must equal the number of rows in the second matrix. The entry in the resulting matrix is the dot product of the corresponding row and column.

Front

What is a row matrix?

Back

A row matrix is a matrix that has only one row.

Front

What is a column matrix?

Back

A column matrix is a matrix that has only one column.

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 the identity matrix?

Back

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