1. Which element is in row 3, column 1? A. -1 B. 4 C. 6 D. 9 Hint 2. A(n) _____ is a transformation that occurs when a figure is moved from one location to another. A. translation B. dilation C. enlargement D. addition Hint 3. Find A - B if and A. B. C. D. Hint 4. Find 3 A. B. C. D. Hint 5. The product gives the coordinates of two points on line AB that has been rotated 90° counterclockwise about the origin. Name the coordinates of A' and B'. A. A'(-1, -3), B'(1, 1) B. A'(1, -3), B'(1, 1) C. A'(1, 1), B'(-1, -3) D. A'(-1, 1), B'(1, -3) Hint 6. Determine which matrix is the 3 × 3 identity matrix. A. B. C. D. Hint 7. Given that the inverse of the coefficient matrix is , solve the matrix equation . A. (-2, 3) B. (4, 3) C. (-4, 3) D. (2, 4) Hint 8. Solve using inverse matrices. A. (4, 4) B. (4, -4) C. (-4, 4) D. (-4, 0) Hint 9. The matrix is an example of which of the following matrices? A. square matrix B. all of the above C. column matrix D. row matrix Hint 10. State whether the product of A3 × 4 and B3 × 4 is defined, and if it is defined, state the dimensions. A. undefined B. defined, 9 × 16 C. defined, 3 × 4 D. defined, 4 × 3 Hint 11. Find the product of A. B. C. D. Hint 12. Find the value of the determinant of A. 64 B. 2 C. 6 D. –32 Hint 13. Evaluate A. –51 B. 111 C. 37 D. –654 Hint 14. Solve the system –2x – 4y = 7, 3x + 5y = 9. A. B. C. (71, –39) D. Hint 15. Two sides of an angle are contained in lines whose equations are 6x + 4y = 15 and 7x – 9y = 3. Find the coordinates of the vertex of the angle. Round to the nearest hundredth. A. (–1.79, 1.06) B. (147, 87) C. (1.79, 1.06) D. (–147, –87) Hint 16. Determine whether the pair of matrices are inverses. A. no, because A · B I B. no, because fractions cannot be a part of an inverse C. yes, because A · B = I. D. yes, because each entry in the second matrix is the reciprocal of its corresponding entry in the first matrix. Hint