MATH 325 CCSF Linear Algebra Vectors Matrixes Eigenvalues & Eigenvectors Exam Practice
1. Determine if the vectors1−23 ,321,56−1 are linearly independent orlinearly dependent. Please explain your answer.2. Let A be the matrix1 2 −31 0 2−3 4 6. For which vectors b does the equationAx = b have a solution?3. Does there exist a 3×3 matrix A that satisfies A2 = −I (where I denotesthe identity matrix)?Hint: if A satisfies A2 = −I, what would det(A) be […]