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2 -2 3 1 -2 0 9 7 -1 1. Find the determinant of the matrix. 2. Use Cramer's Rule to solve. -5x + 7y = -38 -8x - 6y = 8 3. Find the inverse, if it exists. R1C1: R2C1: A = 5 8 4 9 R1C2: R2C2: 4. Solve for Y: Y + R1C1: R2C1: -11 -10 9 -11 = R1C2: R2C2: -3 -13 -5 1 R1C1: R3C1: R2C1: Find the products of AB, if possible. A = -2 0 5 8 2 5 Is it possible? Y/N R1C2: R2C2: R3C2: B = 7 0 -2 2 6 4 R1C3: R2C3: R3C3: 6. Write the matrix equation for the system and solve. 7x - y = 4 -6x + y = -1 7. Find the answer matrix. R1C1: R2C1: 9 -7 5 -5 -4 -1 7 1 R1C2: R2C2: 8. Solve for x, y, and z. y+z y 4 11 x+z 25 x = y = z = = x-y -5 25 -16 -20 z 9. Find the determinant of the matrix. 5 -4 4 10 9 -1 1 -2 0 10. Use Cramer's Rule to Solve. -x -5y = 0 -4x - 8y = 12 11. Write the matrix equation for the system and solve. -7x + y = -10 -6x + y = 5 12. Solve for matrix X. -3 5 -6 -3 R2C1: R1C1: X = 12 36 32 -8 R1C2: R2C2: 13. Find the Inverse of A, if it exists. R1C1: R2C1: A-1 does not exist. T/F A = -2 -1 2 6 R1C2: R2C2: 14. Solve for a, b, c, and d. -16 b a+c -11 a = b = = 2+a 6 -38 d c = d = 15. Find the product of BA, if it exists. A = Does BA exist? Y/N If so, what is the product? -4 4 6 B = -5 5 2 |