Find the dimension of each of the following vector spaces. (a) The vector space of all diagonal n x n matrices. Dimension: (b) The vector space of all symmetric n × n matrices. Dimension: (c) The vector space of all upper triangular n x n matrices. Dimension:

Find the dimension of each of the following vector spaces. (a) The vector space of all diagonal n x n matrices. Dimension: (b) The vector space of all symmetric n × n matrices. Dimension: (c) The vector space of all upper triangular n x n matrices. Dimension:

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 10EQ

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Question

Find the dimension of each of the following vector spaces.
(a) The vector space of all diagonal n x n matrices.
Dimension:
(b) The vector space of all symmetric n x n matrices.
Dimension:
(c) The vector space of all upper triangular n x n matrices.
Dimension:

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