Which of the following is not a vector space? (; :) A. The set of all 2x2 matrices of the form with the standard operations of matrix addition and scalar multiplication. B. The set of all 2x2 matrices with real entries, and with the standard operations of addition and scalar multiplication. 0 0 C. The set of all 2x2 matrices of the form with the standard operations of matrix addition and scalar multiplication. O D. The set of all 2x2 with integer entries and with the standard operations of matrix addition and scalar multiplication.
Which of the following is not a vector space? (; :) A. The set of all 2x2 matrices of the form with the standard operations of matrix addition and scalar multiplication. B. The set of all 2x2 matrices with real entries, and with the standard operations of addition and scalar multiplication. 0 0 C. The set of all 2x2 matrices of the form with the standard operations of matrix addition and scalar multiplication. O D. The set of all 2x2 with integer entries and with the standard operations of matrix addition and scalar multiplication.
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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