Which of the following sets are subspace of M2x2? (a) All 2 x 2 matrices of the form ( 2) where a+b+c+d = 0. (b) All 2 x 2 matrices of the form ( ) where a + d = 1. (c) All 2 x 2 matrices of the form (ª :) where ab - cd = 0. d

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.5: Subspaces, Basis, Dimension, And Rank
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3. Which of the following sets are subspace of M2x2?
(a) All 2 x 2 matrices of the form ( ) where a+b+c+d = 0.
(b) All 2 x 2 matrices of the form
where a + d = 1.
(c) All 2 x 2 matrices of the form (a 2) v
where ab – cd = 0.
Transcribed Image Text:3. Which of the following sets are subspace of M2x2? (a) All 2 x 2 matrices of the form ( ) where a+b+c+d = 0. (b) All 2 x 2 matrices of the form where a + d = 1. (c) All 2 x 2 matrices of the form (a 2) v where ab – cd = 0.
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