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6. Let 1-2 A ^= (²-²² ₂²³). G (a) Find bases for N(A) and R(AT). (b) For an arbitrary z € R³, find unique y ≤ N(A) and z € R(AT) such that x = y + z. (You must obtain formulae for y and z in terms of r).

6. Let 1-2 A ^= (²-²² ₂²³). G (a) Find bases for N(A) and R(AT). (b) For an arbitrary z € R³, find unique y ≤ N(A) and z € R(AT) such that x = y + z. (You must obtain formulae for y and z in terms of r).

Advanced Engineering Mathematics
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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matrix analysis practice question,Please write the simplest answer process,thanks.
6. Let -2 ^-6 -² 2 A ³) 1 1 (a) Find bases for N(A) and R(AT). (b) For an arbitrary E R³, find unique y ≤ N(A) and z € R(AT) such that x = y + z. (You must obtain formulae for y and z in terms of s). Show all the details.
Transcribed Image Text:6. Let -2 ^-6 -² 2 A ³) 1 1 (a) Find bases for N(A) and R(AT). (b) For an arbitrary E R³, find unique y ≤ N(A) and z € R(AT) such that x = y + z. (You must obtain formulae for y and z in terms of s). Show all the details.
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