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(c) Show that the matrices M₁ vector space M22 of 2 x 2matrices. M₂= M₁ = = 1 form a basis for the

(c) Show that the matrices M₁ vector space M22 of 2 x 2matrices. M₂= M₁ = = 1 form a basis for the

Linear Algebra: A Modern Introduction
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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3. c) Show that the matrices M₁ = M₂0 M₂ M = form a basis for the vector space M22 of 2 x 2matrices. a) Let U = [(x₁,x2, x3, x4, x3): 2x₁-x2x3 =0=X4-3x5), V = ((x₂.X₂, X3, X4, Xs): X3 + x₁ = 0) be two subspaces of RS. Find the dimensions of U,V,V+W and VOW.
Transcribed Image Text:3. c) Show that the matrices M₁ = M₂0 M₂ M = form a basis for the vector space M22 of 2 x 2matrices. a) Let U = [(x₁,x2, x3, x4, x3): 2x₁-x2x3 =0=X4-3x5), V = ((x₂.X₂, X3, X4, Xs): X3 + x₁ = 0) be two subspaces of RS. Find the dimensions of U,V,V+W and VOW.
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