A ship is being pushed by a tugboat with a force of 300 pounds along the negative y-axis while another tugboat is pushing along the negative x-axis with a force of 400 pounds. Find the magnitude and sketch the direction of the resultant force.

M303 Section 3.1 Notes- Introduction to Determinants 10-17-16 Determinant of × matrix - using first row, det (−1)1+(det ) where is =1 1 1 1 submatrix/minor of o = 11det11 − 12det 12+ 13det 13± ⋯± −1 )+11 det1 o Recall for 2 × 2- if[ = ], det = = | |= − o Recursive for × matrix , ie. det defined in terms of determinant − 1 × − 1 ) sub-matrices o For 1 ≤ , ≤ , is ( − 1) × − 1 submatrix obtained from by deleting row and ℎ column 3 1 1 o Ex. Let = [0 2 1] −1 4 6 3 1 1 2 1 11= [0 2 1 ]= [ ] −1 4 6 4 6 3 1 1 = [0 2 1 ]= [ 3 1] 22 −1 6 31 41 1 0 2 13= [0 2 1 ]= [−1 4 ] −1 4 6 1 5 0 o Ex. Compute the determinant of [2 4 −1 ] 0 −2 0 4 −1 2 −1 2 4