Problem 2. Let V C R be the vector space of solutions to the equation X1 – x2 – 3x3 - 2 x4 + 2 x5 = 0 (a) Find a matrix A such that Null(A) : (including their dimensions). = V. Draw the picture of all four fundamental subspaces of A
Problem 2. Let V C R be the vector space of solutions to the equation X1 – x2 – 3x3 - 2 x4 + 2 x5 = 0 (a) Find a matrix A such that Null(A) : (including their dimensions). = V. Draw the picture of all four fundamental subspaces of A
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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Transcribed Image Text:Problem 2. Let V C R be the vector space of solutions to the equation
X1 – x2 – 3 x3 – 2 x4 + 2 x5 = 0
= V. Draw the picture of all four fundamental subspaces of A
(a) Find a matrix A such that Null(A)
(including their dimensions).
(b) Find the projection matrix Py without using a computer.
Hint. This is a difficult direct computation. The picture from part (a) helps make this problem easier!
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