The population of a city is given by the following equation. The following growth function is: * P=500 e0.05t) Limited O Unlimited Logistic None of the options

Problem 1. Determine if each of the following statements is true or false. Supporting work is not required. Let T : R' → R3 be a surjective linear transformation. Let A be the matrix corresponding to T. Then rankA = 3. True False There exists a 4 × 5 matrix A satisfying rankA = nullity A. True False Let A be a matrix, and B,C be two (arbitrary) echelon forms of A. Then det B = det C. True False | Let A be a n x n matrix such that A2021 A. If v is an eigenvector of A, then v is an eigenvector of A2021. True False Let A be a n x n matrix. Suppose that A has n distinct eigenvalues, then A is diagonalizable. True False

Determine if the following statement is true or false. (log æ)(log y) = log (a + y) True False