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1. The 3rd row, 4th column entry of a matrix is below and to the right of the 2nd row, 3rd column entry. T 2. A matrix with dimensions m×n, where m > n, has fewer rows than columns. F 3. The ith row, jth column entry of a square matrix, where i > j, is called a diagonal entry. F 4. If the corresponding entries of two matrices A and B with the same dimensions are equal, then A = B. T 5. For any matrix A, there exists a matrix B so that A + B = 0. T 6. For any matrix A, 2A + 3A = 5A. T 7. For any matrices A and B, 3(A + B) = 3A + 3B. T 8. If matrices A and B have the same dimension, then A + B = B + A is known as the Associative Property for Addition of Matrices. F 9. If A has dimensions m ×r and B has dimensions r ×n , then AB has dimensions r×n. F 10. If A has dimensions m ×n and B has dimensions n × r, then AB has dimensions m×r. T 11. If A has dimensions 5 ×4 and B has dimensions 4 ×3, then the 3rd row, 4th column entry of AB is obtained by multiplying the 3rd column of A by the 4th row of B. F 12. If AB is defined, then BA is also defined. F 13. If AB has dimensions k×p, then the number of rows of A is p. F 14. If A is a square matrix such that A⋅A equals the 0 matrix, then A must equal the 0 matrix. F 15. If A and B are both square matrices such that AB equals BA equals the identity matrix, then B is the inverse matrix of A. T 16. If A is a square matrix, then there exists a matrix B such that AB equals the identity matrix. F 17. If AX = B represents a system of linear equations and A-1 exists, then the product A-1 B gives the solution to the system. T