Question

what kind of matrix is this? select all that apply.
-8 3 -3
column matrix zero matrix square matrix
row matrix identity matrix

Explanation:

1. Row Matrix: A row matrix has 1 row and multiple columns. The given matrix \(

$$\begin{bmatrix}-8&3&-3\end{bmatrix}$$

\) has 1 row and 3 columns, so it is a row matrix.

1. Column Matrix: A column matrix has 1 column and multiple rows. This matrix has 3 columns and 1 row, so it is not a column matrix (incorrectly checked).
2. Zero Matrix: A zero matrix has all elements as 0. The elements here are \(-8\), \(3\), \(-3\) (not all zero), so it is not a zero matrix (incorrectly checked).
3. Square Matrix: A square matrix has an equal number of rows and columns. This matrix has \(1\) row and \(3\) columns (\(1

eq3\)), so it is not a square matrix (incorrectly checked).

1. Identity Matrix: An identity matrix is a square matrix with \(1\)s on the diagonal and \(0\)s elsewhere (e.g., \(

$$\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\end{bmatrix}$$

\) for \(3\times3\)). This matrix is \(1\times3\) (not square) and has no \(1\)s on a diagonal, so it is not an identity matrix (incorrectly checked).

Answer:

The only correct classification is:

• Row matrix

(The incorrectly checked options: column matrix, zero matrix, square matrix, identity matrix are wrong. The correct one is row matrix.)