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a) Fir CO b) Let

a) Fir CO b) Let

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
Problem 63EQ
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Answer a and b
1-2 0 0 3 2-5-3-2 6 0 5 15 10 0 a) Find the bases for row space and null space of A = Also find a basis for 2 6 18 8 6/ C(A) by finding a basis for R(AT). b) Let U = {(x, y, z): 2x + 3y +z = 0} and V = {(x, y, z): x + 2y-z = 0) be the subspaces of R³. Find a basis for U, V, U + V, and Un W.
Transcribed Image Text:1-2 0 0 3 2-5-3-2 6 0 5 15 10 0 a) Find the bases for row space and null space of A = Also find a basis for 2 6 18 8 6/ C(A) by finding a basis for R(AT). b) Let U = {(x, y, z): 2x + 3y +z = 0} and V = {(x, y, z): x + 2y-z = 0) be the subspaces of R³. Find a basis for U, V, U + V, and Un W.
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