True or False (T/F). Determine if the following statements are true or false. Circle the correct response or write TRUE or FALSE. (5 points each) T F T F 1. All square matrices have inverses. 2. Any matrix in row-reduced form with a row of zeros has no solution. T F 3. Matrix multiplication is commutative, meaning AB - BA for any two matrices A and B. T F 4. The matrix below is in row-reduced form. 006 013 Lo 0 1 -2 3 T F 5. A matrix and its transpose are sometimes the same size. T F 6. The identity matrix is always a square matrix. T F 7. Matrix multiplication AB requires the size of the matrix A to be the same as matrix B. T F 8. If the matrix A has size 3x4 and matrix B has size 4x2 then the product has size 3x2. T F 9. If the number of variables is less than the number of equations, then there is always one solution to the system. T F 10. Scalar multiplication of a matrix is the same as matrix multiplication. T F 11. Equal matrices have corresponding matrix entries that are equal. 12. When you add or subtract matrices, they must be the same size. T F