Matrices--Add, Subtract, Multiply

Front

What is a matrix?

Back

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

Front

How do you add two matrices?

Back

To add two matrices, add the corresponding elements from each matrix.

Front

How do you subtract two matrices?

Back

To subtract two matrices, subtract the corresponding elements from each matrix.

Front

What is matrix multiplication?

Back

Matrix multiplication involves multiplying rows of the first matrix by columns of the second matrix.

Front

What is the result of adding the matrices \( \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix} + \begin{pmatrix} 5 & 6 \\ 7 & 8 \end{pmatrix} \)?

Back

The result is \( \begin{pmatrix} 6 & 8 \\ 10 & 12 \end{pmatrix} \).

Front

What is the result of subtracting the matrices \( \begin{pmatrix} 5 & 6 \\ 7 & 8 \end{pmatrix} - \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix} \)?

Back

The result is \( \begin{pmatrix} 4 & 4 \\ 4 & 4 \end{pmatrix} \).

Front

What is the product of the matrices \( \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix} \) and \( \begin{pmatrix} 5 & 6 \\ 7 & 8 \end{pmatrix} \)?

Back

The product is \( \begin{pmatrix} 19 & 22 \\ 43 & 50 \end{pmatrix} \).

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 determinant of a 2x2 matrix \( \begin{pmatrix} a & b \\ c & d \end{pmatrix} \)?

Back

The determinant is calculated as \( ad - bc \).

Front

What is a zero matrix?

Back

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