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Q2 Let A be a 4 × 5 matrix. If the column vectors a1, a2 and a4 are linearly independent and satisfy the dependency relations: az = a1 + 2a2, ag = 2a1 – a2 + 3a4, determine a basis for the null space of A.

Q2 Let A be a 4 × 5 matrix. If the column vectors a1, a2 and a4 are linearly independent and satisfy the dependency relations: az = a1 + 2a2, ag = 2a1 – a2 + 3a4, determine a basis for the null space of A.

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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Q2 Let A be a 4 × 5 matrix. If the column vectors a1, a2 and a4 are linearly independent and satisfy the dependency relations: az = a1 + 2a2, as 3D 2а1 — аz + За4, determine a basis for the null space of A.
Transcribed Image Text:Q2 Let A be a 4 × 5 matrix. If the column vectors a1, a2 and a4 are linearly independent and satisfy the dependency relations: az = a1 + 2a2, as 3D 2а1 — аz + За4, determine a basis for the null space of A.
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