{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

psLinAlgebra2Qu

psLinAlgebra2Qu - vectors Is the conjecture true Prove your...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Fall 2007 ARE211 Problem Set #07 Second Lin Algebra Problem Set Due date: Oct 23 Problem 1 What is the diference between a minimum spanning set For a vector space and a basis For a vector space. Provide an example highlighting this diference. Problem 2 Problem 3 Problem 4 Problem 5 Consider the Following conjecture: Let V be a vector space spanned by the set { v 1 , v 2 ,... v n } . The 1
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
2 set { v 1 , v 2 ,... v n } is a minimal spanning set for V iF the vectors v 1 , v 2 ,... v n are linearly independent
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: vectors. Is the conjecture true? Prove your answer. Problem 6 Let U and W be vector subspaces of the vectorspace V. De±ne the space U + W = { x | x = u + w , u ∈ U, w ∈ W } Show that U + W is a vector subspace of V. Problem 7 a) Let A be a symmetric (nxn) matrix with one or more negative eigenvalues. What can you say about the determinant of the matrix and its rank? b) Let A be symmetric (2x2) matrix. Is it true that A is inde±nite iF its determinant is negative. Explain your answer (No formal proof necessary)....
View Full Document

{[ snackBarMessage ]}

Page1 / 2

psLinAlgebra2Qu - vectors Is the conjecture true Prove your...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon bookmark
Ask a homework question - tutors are online