Answer Happy

Let A be a 2 x 2 matrix Given the following descriptions, determine the following elementary matrices and their inverses. a. The elementary matrix Ei multiplies the first row of A by 1/5 E E' b. The elementary matrix E, multiplies the second row of Aby -4. E2 = E, c. The elementary matrix Eg switches the first and second rows of A. E3 E'
Problem 4. (3 points) Let A be a 4 x 4 matrix with det(A) = 5. 1. If the matrix B is obtained from A by adding 6 times the fourth row to the first, then det(B)= 2. If the matrix C is obtained from A by swapping the first and fourth rows , then det(C)=1 3. If the matrix D is obtained from A by multiplying the first row by 6, then det (D)=0