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Consider the subspace of R^5, U = span (vector u 1 (1, 3, 2, 2, 3), vector u2 = (1,4, 3, 4,2), vector = u3 (2,3, -1, -2, 9) v span (vector v 1 = (1,3,0,2,1) v v2 = (1,5, -6, 6, 3), vector v 3 = (2,5,3,2,1), Find the dimension of and basis of U (upside-down UV. (b) Let U + V = {vector x€R ^5: vec x = vector v, where vector u €U, vector v€V } Show that U + V is a subspace of R^ 5 and find the dimension and the basis of U + V??

Consider the subspace of R^5, U = span (vector u 1 (1, 3, 2, 2, 3), vector u2 = (1,4, 3, 4,2), vector = u3 (2,3, -1, -2, 9) v span (vector v 1 = (1,3,0,2,1) v v2 = (1,5, -6, 6, 3), vector v 3 = (2,5,3,2,1), Find the dimension of and basis of U (upside-down UV. (b) Let U + V = {vector x€R ^5: vec x = vector v, where vector u €U, vector v€V } Show that U + V is a subspace of R^ 5 and find the dimension and the basis of U + V??

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Consider the subspace of R^5, U = span (vector u 1 (1, 3, 2, 2, 3), vector u2 = (1,4, 3, 4,2), vector = u3 (2,3, -1, -2, 9) v span (vector v 1 = (1,3,0,2,1) v v2 = (1,5, -6, 6, 3), vector v 3 = (2,5,3,2,1), Find the dimension of and basis of U (upside-down UV. (b) Let U + V = {vector x€R ^5: vec x = vector v, where vector u €U, vector v€V } Show that U + V is a subspace of R^ 5 and find the dimension and the basis of U + V??
Transcribed Image Text:Consider the subspace of R^5, U = span (vector u 1 (1, 3, 2, 2, 3), vector u2 = (1,4, 3, 4,2), vector = u3 (2,3, -1, -2, 9) v span (vector v 1 = (1,3,0,2,1) v v2 = (1,5, -6, 6, 3), vector v 3 = (2,5,3,2,1), Find the dimension of and basis of U (upside-down UV. (b) Let U + V = {vector x€R ^5: vec x = vector v, where vector u €U, vector v€V } Show that U + V is a subspace of R^ 5 and find the dimension and the basis of U + V??
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