MATH 21B Midterm: MATH 21B Harvard 21b Spring 18Solution7

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15 Feb 2019
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Math 20: introduction to linear algebra and multivariable calculus. The midterm covers sections 3. 1, 3. 2, 4. 9, 5. 1 5. 3, 6. 1, 6. 3 6. 5 of lay. Start by making sure you know how to do all of your homework problems. Solutions are posted on the course web site. You can also try additional, unassigned problems from any section you don"t understand completely. There is a set of supplementary problems after each chapter in lay. These are things you should know how to do in preparing for the second exam, organized by topic. Introduction to determinants (section 3. 1 of lay: compute the determinant of any square matrix by cofactor expansion. Properties of determinants (section 3. 2: compute the determinant of a square matrix using row operations, apply the properties det(ab) = det(a)det(b) and det(at) = det(a) The characteristic equation (section 5. 2: find the characteristic polynomial of a square matrix, find the eigenvalues of a matrix.