1. The problem asks: A 2 \times 2 matrix with every entry equal to 1 is a ? (square matrix or multiplicative identity matrix). 2. First, let's understand the definitions: - A **square matrix** is a matrix with the same number of rows and columns. - A **multiplicative identity matrix** (or identity matrix) is a square matrix with 1's on the main diagonal and 0's elsewhere. 3. The given matrix is: $$\begin{bmatrix}1 & 1 \\ 1 & 1\end{bmatrix}$$ 4. This matrix has 2 rows and 2 columns, so it is a **square matrix**. 5. However, it is not an identity matrix because the identity matrix of size 2 \times 2 is: $$\begin{bmatrix}1 & 0 \\ 0 & 1\end{bmatrix}$$ 6. Since the given matrix has all entries equal to 1, it does not match the identity matrix. 7. Therefore, the answer is: **square matrix**. Final answer: A 2 \times 2 matrix with every entry equal to 1 is a **square matrix**.