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6 a. Show whether or not H= {(x,y, z)| 2x – y + 3z = 0} is a subspace of R3 p. Solve the following system of Equations X1 – 2x2 + 3x3 = 4 %3D | Зх, — 5х2 + 14х3 3—2 %3D 2х1 — 4х, + 7хз —D 5 -

6 a. Show whether or not H= {(x,y, z)| 2x – y + 3z = 0} is a subspace of R3 p. Solve the following system of Equations X1 – 2x2 + 3x3 = 4 %3D | Зх, — 5х2 + 14х3 3—2 %3D 2х1 — 4х, + 7хз —D 5 -

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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I-3 -6 6 a. Show whether or not Н- = {(x,y, z)| 2x - y + 3z = 0} is a subspace of R3 b. Solve the following system of Equations X1 — 2х, + 3хз = 4 Зх, — 5х2 + 14х3 — —2 2х — 4х, + 7хз — 5 Using the inverse matrix method 7. A matrix M of linear transformation which rotates all points (x,y [cos 0 sin0 direction through an angle about the origin is given by CC linear transformation which reflects the point of the plane in the line (а) М, if @ —120 (b) The image of the point A(1,-2) under the transformation of an ar Followed by a reflection in the line y = X, correct to 1 d.p.
Transcribed Image Text:I-3 -6 6 a. Show whether or not Н- = {(x,y, z)| 2x - y + 3z = 0} is a subspace of R3 b. Solve the following system of Equations X1 — 2х, + 3хз = 4 Зх, — 5х2 + 14х3 — —2 2х — 4х, + 7хз — 5 Using the inverse matrix method 7. A matrix M of linear transformation which rotates all points (x,y [cos 0 sin0 direction through an angle about the origin is given by CC linear transformation which reflects the point of the plane in the line (а) М, if @ —120 (b) The image of the point A(1,-2) under the transformation of an ar Followed by a reflection in the line y = X, correct to 1 d.p.
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