{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

33A_review_topics

33A_review_topics - ibility 5 Subspaces kernel and image of...

Info icon This preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
MATH 33A Winter 2009 Review Topics 1. Gauss-Jordan elimination, reduced row echelon form, solving systems of linear equations 2. Definition of linear transformations, recognizing linear transformations, matrix of a linear transformation (a) scaling, projection, reflection, rotation 3. Vectors (a) length, dot product, cross product, angle between vectors 4. Matrices (a) matrix multiplication (not commutative), distributive property, inverses, transpose, inverse of product, transpose of product (b) Invertible matrices, invertible transformations, criteria for invert-
Image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ibility 5. Subspaces, kernel and image of a linear transformation 6. Linearly independent, orthogonal and orthonormal sets of vectors 7. Basis, linear combinations of basis vectors, coordinates, change of basis, similar matrices 8. Gram-Schmidt process for finding an orthonormal basis 9. Determinants, calculating the determinant, geometric interpretation of the determinant, classical adjoint 10. Eigenvalues and eigenvectors, finding them, algebraic vs. geometric multiplicity, diagonalization, powers of a matrix, complex eigenvalues 1...
View Full Document

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern