# Problem 1: # A = matrix(c(3, -4, 1, -1), nrow=2, ncol=2, byrow=T) print(eigen(A)) # Problem 2: # A = matrix(c(4, -2, 8, -4), nrow=2, ncol=2, byrow=T) print(eigen(A)) # Problem 3: # A = matrix(c(-3/2, 1, -1/4, -1/2), nrow=2, ncol=2, byrow=T) print(eigen(A)) # Problem 4: # A = matrix(c(-3, 5/2, -5/2, 2), nrow=2, ncol=2, byrow=T) print(eigen(A)) # Problem 5: # A = matrix(c(1, 1, 1, 2, 1, -1, 0, -1, 1), nrow=3, ncol=3, byrow=T) print(eigen(A)) # Problem 6: # A = matrix(c(0, 1, 1, 1, 0, 1, 1, 1, 0), nrow=3, ncol=3, byrow=T) print(eigen(A)) # Problem 7: # A = matrix(c(1, -4, 4, -7), nrow=2, ncol=2, byrow=T) print(eigen(A)) # Problem 8: # A = matrix(c(-5/2, 3/2, -3/2, 1/2), nrow=2, ncol=2, byrow=T) print(eigen(A)) # Problem 9: # A = matrix(c(2, 3/2, -3/2, -1), nrow=2, ncol=2, byrow=T) print(eigen(A)) # Problem 10: # A = matrix(c(3, 9, -1, -3), nrow=2, ncol=2, byrow=T) print(eigen(A)) # Problem 11: # A = matrix(c(1, 0, 0, -4, 1, 0, 3, 6, 2), nrow=3, ncol=3, byrow=T) print(eigen(A)) # Problem 12: # A = matrix(c(-5/2, 1, 1, 1, -5/2, 1, 1, 1, -5/2), nrow=3, ncol=3, byrow=T) print(eigen(A)) # Problem 13: # A = matrix(c(3, -4, 1, -1), nrow=2, ncol=2, byrow=T) print(eigen(A)) # Problem 14: # A = matrix(c(1, -4, 4, -7), nrow=2, ncol=2, byrow=T) print(eigen(A)) # Problem 17: # A = matrix(c(1, -1, 1, 3), nrow=2, ncol=2, byrow=T) print(eigen(A)) # Problem 18: # A = matrix(c(1, 1, 1, 2, 1, -1, -3, 2, 4), nrow=3, ncol=3, byrow=T) print(eigen(A)) # Problem 19: # A = matrix(c(5, -3, -2, 8, -5, -4, -4, 3, 3), nrow=3, ncol=3, byrow=T) print(eigen(A))