MATH 4A Study Guide - Final Guide: Diagonal Matrix, Design Matrix, Linear Independence
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Solutions a: solve the given linear systems, if possible. No solution due to the contradiction in row 3, which says 0x+0y+0z=8. b) Half of row 4, then switch rows 2 and 4. 1: solve the given linear systems, if possible. Write any non-unique solutions in parametrized form. c) 2 x y z w: determine the values of k such that the system has, a unique solution, no solution, more than one solution z3x. We get only 2 pivot columns in the reduced matrix, so the vectors are linearly dependent. Their span is a 2-dimensional subspace of r4: use cramer"s rule to solve the following linear system: x2. We need to calculate determinants of a, and then the 3 matrices that have a column of a replaced by the vector b. denote these a1, a2 and a3. x. 0: the determinant of matrix a below is 12.
