Matrices Review

Front

What must be true for matrices to be added or subtracted?

Back

Matrices must have equal dimensions.

Front

What is required to multiply two matrices?

Back

The number of columns in the first matrix must equal the number of rows in the second matrix.

Front

Solve the system of equations using matrices: 3x - 5y = 7 and 2x + y = 4.

Back

x = 2.07692, y = -0.153846

Front

Subtract the following matrices: \[ \begin{pmatrix} 3 & -8 \\ 0 & -1 \end{pmatrix} - \begin{pmatrix} 3 & -4 \\ 8 & -13 \end{pmatrix} \]

Back

\[ \begin{pmatrix} 0 & -4 \\ -8 & 12 \end{pmatrix} \]

Front

What do m, n, p, and q equal in this scalar matrix multiplication?

Back

m=15, n=-45, p=20, q=-5

Front

What is a matrix?

Back

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

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 the identity matrix?

Back

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

Front

What is a scalar in matrix operations?

Back

A scalar is a single number that can multiply a matrix.

Front

What is the transpose of a matrix?

Back

The transpose of a matrix is obtained by flipping it over its diagonal.