Problem 6. Suppose S is an invertible 3 by 3 matrix. Consider all matrices A that are diagonalized by S, so that SAS is diagonal. Show that these matrices form a subspace of 3 by 3 matrix space. (You should test the requirements for a subspace here).
Problem 6. Suppose S is an invertible 3 by 3 matrix. Consider all matrices A that are diagonalized by S, so that SAS is diagonal. Show that these matrices form a subspace of 3 by 3 matrix space. (You should test the requirements for a subspace here).
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 5AEXP
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