Let the set R(2×2) of 2×2-matrices be a vector space. Let A∈R2×2, (I) be the identity matrix, and x∈R. Determine whether the following sets are subspaces of R2×2: (b) {B∈R(2×2) :AB = BA},
Let the set R(2×2) of 2×2-matrices be a vector space. Let A∈R2×2, (I) be the identity matrix, and x∈R. Determine whether the following sets are subspaces of R2×2: (b) {B∈R(2×2) :AB = BA},
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.1: Vector Spaces And Subspaces
Problem 28EQ: In Exercises 24-45, use Theorem 6.2 to determine whether W is a subspace of V. V=M22,W={[abb2a]}
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Let the set R(2×2) of 2×2-matrices be a
Let A∈R2×2, (I) be the identity matrix, and x∈R.
Determine whether the following sets are subspaces of R2×2:
(b) {B∈R(2×2) :AB = BA},
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