UCSF 137 Lecture 1: UCSF 137 - Lecture 1 (1)

Find the sum of the series. infinity n = 0 5/3n infinity n = 0 ( - 1)n 7/3n infinity n = 0 (1/7n + 1/4n)

Find the eigenvalues of the matrix. [7 0 0 0 0 0 6 0 5] The eigenvalue(s) of the matrix is/are (Use a comma to separate answers as needed.)

Determine whether b is in the column space of A. A = [1 1 -3 2 4 -2 -3 -6 5], b = [1 -2 -3] No Yes Find a basis for the null space of the matrix. A = [1 0 0 0 1 0 -7 5 0 -4 -2 0 {[7 -5 1 0], [4 2 0 1]} {[1 0 0], [0 1 0]} {[-7 5 1 0], [-4 -2 0 1]} {[1 0 -7 -4], [0 1 5 -2]}