L: M2x2 M2x2 be the linear transformation given by L(A) =A-A'.Which of the following is true? a. The range of L is M2x2 b. kernel of is M2 x2 OC. c. 12x2 is in the range of L d. kernel of L is the set of all 2 x2 symmetric matrices e. kernel of L is the trivial vector space of M2x2

L: M2x2 M2x2 be the linear transformation given by L(A) =A-A'.Which of the following is true? a. The range of L is M2x2 b. kernel of is M2 x2 OC. c. 12x2 is in the range of L d. kernel of L is the set of all 2 x2 symmetric matrices e. kernel of L is the trivial vector space of M2x2

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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Question

L: M2x2 M2x2
be the linear transformation given by L(A) =A-A'.Which of the following is true?
a. The range of L is M2x2
b. kernel of
is M2 x2
OC.
c. 12x2
is in the range of L
d. kernel of L is the set of all 2 x2 symmetric matrices
e. kernel of L is the trivial vector space of M2x2

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