This exam is meant to enhance your understanding of the subject matter, and contains roughly the same amount of multiple choice, fill-in-the-blank and true or false questions. For each question, select or fill in the choice that is most appropriate.
Exam-takers should read through each question carefully and take notes on difficult concepts.
- Some matrices expressed explicitly may have rows separated by semi-colons (;). For example, [1 2 3; 4 5 6] is a 2 x 3 matrix with 1, 2, 3 in the first row and 4, 5, 6 in the second row.
- Unless stated otherwise, matrices given in the problem statement by only representative form (i.e. matrix A along with the size are the only information given versus the the actual components of the matrix) are nonsymmetrical, not diagonal, non-stochastic, non-regular, and are not an identity matrix and do not have any other known matrix numerical patterns.
- The matrix I will always be the identity matrix, and the size will be given if necessary to solve the problem.
- Vectors are represented by bold lower-case letters. For example x, b and are all vectors, if it is a representative set or list, it will be italicized, like x
- Matrices are represented by italicized upper-case letters. For example, A, B and I are matrices, bold-face will be used sometimes to decrease visual confusion with vectors and other terms.
- Unless otherwise stated, for multiple choice there is only 1 correct solution.