The given T is a linear transformation from R² into R². Show that T is invertible and find a formula for T¹. T(X1X2) = (5x₁-7X2,- 5x₁ +8x₂) To show that T is invertible, calculate the determinant of the standard matrix for T. The determinant of the standard matrix is (Simplify your answer.)

What is the future value if $8500 is invested for 11 years at 12% compounded semiannually? (Round your answer to the nearest cent.)$=

Thanks in advance for the help

a []·. and 0, and compute the determinants of the matrices [u v] and [vu]. Draw a picture and explain what you find. Let u = C [:] , where a, b, and c are positive (for simplicity). Compute the area of the parallelogram determined by u, v, u + v, 0 and v= The area of the parallelogram determined by u, v, u + v, and 0 is (Simplify your answer.)