-B 2. Given: A = 2 -4 0 2 1 -1 2 1 2 3 1 -2 1 4 4 a. Transform A into RREF then give a basis of its row space. b. Find a basis of the null space of A. c. Give the row rank, column rank and nullity of A.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.1: Inner Product Spaces
Problem 37EQ
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2. Given: A =
2
-1
1
-4 02
2 1 2 3
-2 1 4 4
a. Transform A into RREF then give a basis of its row space.
b. Find a basis of the null space of A.
c. Give the row rank, column rank and nullity of A.
Transcribed Image Text:2. Given: A = 2 -1 1 -4 02 2 1 2 3 -2 1 4 4 a. Transform A into RREF then give a basis of its row space. b. Find a basis of the null space of A. c. Give the row rank, column rank and nullity of A.
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