Unformatted text preview: S is a subspace of V . Prove that L ( S ) is a subspace of W . c) The dimension of Col ( A ) equals the dimension of Row ( A ). [Explain each step, including a couple of sentences about dependency relations]. Remarks and Answers: The average was about 45/60. 1) TTTTT 2) The matrix U that goes back to the standard basis is easier to do 1st; then ﬁnd its inverse any way you choose (I used the adjoint method). U = ±-1 1 2 2 ² so , the answer is U-1 = 1-4 ± 2-1-2-1 ² 3) See text. 1...
View Full Document
- Spring '09
- Linear Algebra, col, nonsingular matrix, adjoint method, Prof. S. Hudson