COGS109 HW1 Matrix and Vector Algebra DUE 10 30AM FRIDAY OCT 8 September 30 2010 Type your answers in a text file called hw1algebra txt and upload that file to icogsci1 Feel free to check your answers with Matlab but since you won t have Matlab on the midterms it s worth making sure you can do these by hand Remember to check whether the following problems conform to the rules of vector and matrix algebra and explain why they do not if necessary 1 Compute 12 13 5 12 57 2 2 Compute 12 0 2 1 7 10 3 Compute 4 2 1 9 10 2 9 4 What is the 3 2 element of the resulting matrix 2 7 1 4 0 5 12 1 5 4 1 1 2 11 5 15 9 1 0 5 9 6 8 1 5 a What is the 1 1 element of the resulting matrix 1 7 1 4 0 5 12 4 3 1 2 11 5 9 5 0 5 b What would the 1 1 element of the resulting matrix be if the right matrix is transposed before the multiplication 1 6 Describe in words what happens to the vector cos 2 sin 2 2 sin 2 cos 2 4 7 Given the following equation what can you say about the relationship between the matrix and the vector a b e e c d f f 2