which of these matrices are square matrices? select all that apply.
which of these matrices are square matrices? select all that apply.
Answer
Explanation:
Step1: Recall square - matrix definition
A square matrix has an equal number of rows and columns.
Step2: Analyze first matrix
The matrix $\begin{bmatrix}0&0\0&0\end{bmatrix}$ has 2 rows and 2 columns. Since $2 = 2$, it is a square matrix.
Step3: Analyze second matrix
The matrix $\begin{bmatrix}- 15&20\-17&13\end{bmatrix}$ has 2 rows and 2 columns. Since $2=2$, it is a square matrix.
Step4: Analyze third matrix
The matrix $\begin{bmatrix}1&0&0\0&1&0\0&0&1\end{bmatrix}$ has 3 rows and 3 columns. Since $3 = 3$, it is a square matrix.
Step5: Analyze fourth matrix
The matrix $\begin{bmatrix}0&0&0&0\end{bmatrix}$ has 1 row and 4 columns. Since $1\neq4$, it is not a square matrix.
Answer:
The square matrices are $\begin{bmatrix}0&0\0&0\end{bmatrix}$, $\begin{bmatrix}- 15&20\-17&13\end{bmatrix}$, $\begin{bmatrix}1&0&0\0&1&0\0&0&1\end{bmatrix}$