MAT 22A Midterm: 22A_dec2013
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MAT 22A Full Course Notes
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Mat 22a : linear algebra: (a) compute the projection of the vector. Find the best linear relation that links the gas mileage to the average speed. Hint : to simplify the computation, try to t the relation (mpg 50) = c + d(mph 60). December 13, 2013: consider the matrix a = 2 2 0 (a) prove that the columns of a are linearly independent. (b) compute an orthogonal basis of c(a), the column space of a (c) compute a vector that is in the orthogonal complement of c(a). Student id : (a) prove that the rank of a is 2. (b) prove that . Is an eigenvector of a. (c) compute all eigenvalues and eigenvectors of a. (d) compute a200 with 5 signi cant digits. December 13, 2013: give a short answer and a justi cation to the following questions. The justifcation is more important than a correct answer. (a) what is the determinant of.
