I need some help understanding how to solve these problems, could I get some assistance?
11. [-/1 Points] DETAILS Use the matrix capabilities of a graphing utility to write the matrix in reduced row-echelon form. 3 9 6 10 30 18 2 6 10 1 Need Help? Read It Watch It16. [-/1 Points] DETAILS MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A natural history museum borrows $2,000,000 at simple annual interest to purchase new exhibits. Some of the money is borrowed at 5%, some at 6.5%, and some at 7.5%. Use a system of linear equations to determine how much is borrowed at each rate given that the total annual interest is $125,500 and the amount borrowed at 6.5% is four times the amount borrowed at 7.5%. Solve the system of linear equations using matrices. at 5% $ at 6.5% at 7.5% Need Help? Read It 17. [-/1 Points] DETAILS MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use matrices to solve the system of equations (if possible). Use Gaussian elimination with back-substitution. (If not possible, enter IMPOSSIBLE. If the system is dependent, express x, y, and z in terms of the parameter a.) x + 2y - 2z = - 4y + 2z = -x+ y - z= o ( x, y, Z ) = Need Help? Read It 18. [-/1 Points] DETAILS MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use matrices to solve the system of equations (if possible). Use Gaussian elimination with back-substitution. (If not possible, enter IMPOSSIBLE. If the system is dependent, express x, y, and z in terms of the parameter a.) 3x - 2y + 2 = 18 ~x + y + 2z = -18 x - y - 42 = 28 ( x, y, z ) =13. [-/1 Points] DETAILS MY NOTES An augmented matrix that represents a system of linear equations (in variables x, y, and z, if applicable) has been reduced using Gauss-Jordan elimination. Write the solution represented by the augmented matrix 10 0 : 8 010 : - -7 0 0 1 : O ( x, y, z) = Need Help? Read It Watch It 14. [-/1 Points] DETAILS MY NOTES Use matrices to solve the system of linear equations, if possible. Use Gauss-Jordan elimination. (If not possible, enter IMPOSSIBLE. If the system is dependent, express x and y in terms of the parameter a.) 2x - y + 3z = 30 2y - 2 = 12 7x - 5y = 6 ( x, y, Z ) = Need Help? Read It Watch It 15. [-/1 Points] DETAILS MY NOTES Use a system of linear equations to find the quadratic function f(x) = ax2 + bx + c that satisfies the given conditions. Solve the system using matrices. F(-2) = -12, f(1) = -6, f(2) = -24 f ( x ) =6. [-/1 Points] DETAILS Write the system of linear equations represented by the augmented matrix. (Use variables x, y, z, and w, if applicable.) 5 -3 -1 16 -14 0 8 23 2 7 0 -284. [-/1 Points] DETAILS Determine the dimension of the matrix. 5 3 9 0 7 10 10 8 -10 1 X Need Help? Read It Watch It
