(c) Let V be the vector space of all 2 x 2 complex matrices over R. Consider -{[ 0 a11,922 ER (iii) (iv) W = 0 a22 If now V is a vector space of all 2 x 2 complex matrices over C, explain whether W is still a subspace of V. If now V is a vector space of all 2 x 2 complex matrices over C and W is assumed to be a subspace of V, then determine the dimension of W.
(c) Let V be the vector space of all 2 x 2 complex matrices over R. Consider -{[ 0 a11,922 ER (iii) (iv) W = 0 a22 If now V is a vector space of all 2 x 2 complex matrices over C, explain whether W is still a subspace of V. If now V is a vector space of all 2 x 2 complex matrices over C and W is assumed to be a subspace of V, then determine the dimension of W.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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