Cryptography Question

Math 2373 Lab 3 You must show ALL your work to receive full credit for each problem. Final answers must be simplified and circled. 1. Evaluate the determinant of the following matrix 1 2 3 [−1 −4 0] 0 0 4 (a) by using the 1st column (b) by using the 3rd row 5 1 3  2. Find the inverse of matrix A = 6 2 4  using the formula for the inverse of a matrix.  1 0 1 (a) Find the matrix of cofactors. Show your calculations for each cofactor. (b) Find the adjoint matrix. (c) Use the formula for the inverse of a matrix to find the inverse. You may use your calculator to find the determinant. 3. Solve the following equation for x. 2x −3 | |=1 x−1 x+2 4. Determine whether the set of functions {f, g, h}, where f(x) = x2 + 3, g(x) = x + 1 and h(x) = 2×2 − 3x + 3 is linearly independent or dependent in P2. 5. Determine whether the matrix [ [ 3 1 0 0 ], [ 3 1 1 1 ], and [ 4 0 2 ] 1 7 6 ] is a linear combination of the following matrices: −5 −3