Assignment 4

Assignment 4 - MATH 223, Linear Algebra Winter, 2010...

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

View Full Document Right Arrow Icon

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

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: MATH 223, Linear Algebra Winter, 2010 Assignment 4, due in class Monday, February 8, 2010 1. Find a basis for each of the row space, column space and null space of the following matrix A over the complex numbers. What is its rank? Express each row of A as a linear combination of the rows in your basis for the row space; express each of the columns of A as a linear combination of the vectors in your basis for the column space. A = 1 2 i 2 + 4 i 1 + 8 i 4 + 14 i 1- i 3 + 2 i 7 + i 12 + 7 i 23 + 9 i i- 2- 2 + i- 3 + 2 i 4- 1 + i 10 i 1 + 11 i 4 + 22 i . 2. Let V = Z 4 2 and W 1 = Span 1 1 , 1 1 and W 2 = Span 1 1 , 1 1 and be subspaces of V . Find a basis for W 1 + W 2 and one for W 1 W 2 ....
View Full Document

This note was uploaded on 02/10/2010 for the course MATH math 223 taught by Professor Loveys during the Winter '10 term at McGill.

Page1 / 2

Assignment 4 - MATH 223, Linear Algebra Winter, 2010...

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

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