Matrix operations

Front

What is a Matrix?

Back

A set of numbers arranged in rows and columns.

Front

What comes first in the order of matrix operations?

Back

Row

Front

How do you subtract two matrices?

Back

Subtract corresponding elements from each matrix.

Front

What is the result of subtracting the matrices: \[ \begin{pmatrix} 3 & -4 \\ 8 & -13 \end{pmatrix} - \begin{pmatrix} 0 & -1 \\ 3 & -4 \end{pmatrix} \]?

Back

\[ \begin{pmatrix} 3-0 & -4-(-1) \\ 8-3 & -13-(-4) \end{pmatrix} = \begin{pmatrix} 3 & -3 \\ 5 & -9 \end{pmatrix} \]

Front

Can you multiply a 2X3 matrix by a 3X12 matrix?

Back

Yes, the result will be a 2X12 matrix.

Front

What is the dimension of a matrix?

Back

The number of rows and columns it contains.

Front

What is a scalar in matrix operations?

Back

A single number that can multiply a matrix.

Front

What is the identity matrix?

Back

A square matrix with ones on the diagonal and zeros elsewhere.

Front

What is the transpose of a matrix?

Back

A new matrix obtained by swapping rows and columns.

Front

What is the determinant of a matrix?

Back

A scalar value that can be computed from the elements of a square matrix.