Matrix Product
1. **State the problem:** We are asked to find the product of two matrices:
Matrix A (1x4): $$\begin{bmatrix}-3 & -4 & 1 & 3\end{bmatrix}$$
Matrix B (2x4): $$\begin{bmatrix}5 & 2 & 0 & -2\\ \end{bmatrix}$$
2. **Check matrix dimensions for multiplication:**
Matrix A is 1 row by 4 columns (1x4).
Matrix B is 2 rows by 4 columns (2x4).
For matrix multiplication $$A \times B$$ to be defined, the number of columns in A must equal the number of rows in B.
Here, A has 4 columns, B has 2 rows, so 4 \neq 2.
3. **Conclusion:**
The product $$A \times B$$ is **undefined** because the number of columns in the first matrix (4) does not equal the number of rows in the second matrix (2).