1. For each map 0; below, either prove the map is linear or show that it is not linear.lal lela. 01 : R3 → M22(R) given by 0where |x| is the modulus of x.- iba bb. 02 : M2.2(C) → C° given by 0c db – icс — id

1. For each map 0; below, either prove the map is linear or show that it is not linear. a lal a. 01 : R3 → M22(R) given by 0 where |x| is the modulus of x. а b b. 02 : M2.2(C) → C° given by 0 с а - ib b – ic с — id

1. For each map 0; below, either prove the map is linear or show that it is not linear. a lal a. 01 : R3 → M22(R) given by 0 where |x| is the modulus of x. а b b. 02 : M2.2(C) → C° given by 0 с а - ib b – ic с — id

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

1. For each map 0; below, either prove the map is linear or show that it is not linear.
lal lel
a. 01 : R3 → M22(R) given by 0
where |x| is the modulus of x.
- ib
a b
b. 02 : M2.2(C) → C° given by 0
c d
b – ic
с — id

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