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Math 218 Unit 1 Exam with Questions and Answers how to separate <v -w, v-w> ANSWER foil method 1. <v, v-w> - <w, v-w> 2. <v,v> - <v, w> - <w,v> - <w,w> 3. ||v||^2 + ||w||^2 - 2<v,w> another word for transpose ANSWER involution trace of a m...

Math 218 Exam 2 with Questions and Answers Matrix Multiplication ANSWER only makes sense if # of cols of first matrix = # rows of second matrix --> if performing A*B: resulting matrix should have rows = # rows of A cols = # cols of B in other words AB ∈ R^mofA x nofB Column Perspec...

Math 218 Midterm Exam with Questions and Answers square matrix ANSWER an m x n matrix is square if m = n the diagonal of a matrix ANSWER refers to the collection of (i,i) entries of the matrix upper triangular ANSWER refers to a matrix if every entry below the diagonal is zero lower tria...

Math 218 Final Exam with Questions and Answers Eigenvectors can only occur if matrix is ANSWER square Eigenvector formula ANSWER Av=λv Euler characteristic ANSWER x(g) = nodes - arrows x(g) = connected components - circuit rank Net Flow ANSWER weights IN - weights OUT Incidence Matr...

MATH 218 Final Exam Prep with Questions and Answers Linearization formula ANSWER L = integral from a to b of f(g(t), h(t), k(t)) |v(t)| dt gradient field ANSWER delta g = (dg/dx)i + (dg/dy)j + (dg/dz)k work equation ANSWER W = integral from a to b of (Mdx + Ndy + Pdz) dt Flux equation AN...

Math 218 Study Set with Questions and Answers point ANSWER an idealized version of a dot, having no shape or size line ANSWER an infinitely long, stretched string that has no beginning or end. it has not thicknesss plane ANSWER an infinite flat piece of paper that has not beginning or end, ...

Math 218 Test 3 with Questions and Answer Mij ANSWER det(Aij) Cij ANSWER (-1)^(i+j) det(Aij) det(AT) ANSWER det(A) det(AB) ANSWER det(A)det(B) row swap (determinant) ANSWER det(B) = -det(A) row scale (determinant) ANSWER det(B) = c*det(A) row addition (determinant) ANSWER det(B)...