The given matrix determines a linear transformation T. Find all x such that T(x) = 0. 5 - 3 4 -2 -7 5 -8 0 -5 7 4-12 6 4 8 -1 Select the correct choice below and fill in the answer box within your choice. OA. There is only one vector, which is x = +x4 OB. x=x₁ OC. x=X4 +x4 OD. x=x2 +3

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.6: Introduction To Linear Transformations
Problem 1EQ: 1. Let Ta : ℝ2 → ℝ2 be the matrix transformation corresponding to . Find , where and .
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The given matrix determines a linear transformation T. Find all x such that T(x) = 0.
5
-
3
4
-2
-7 5 -8
0
-5
7
4-12
6 4
8
-1
Select the correct choice below and fill in the answer box within your choice.
OA. There is only one vector, which is x =
+x4
OB. x=x₁
OC. x=X4
+x4
OD. x=x2
+3
Transcribed Image Text:The given matrix determines a linear transformation T. Find all x such that T(x) = 0. 5 - 3 4 -2 -7 5 -8 0 -5 7 4-12 6 4 8 -1 Select the correct choice below and fill in the answer box within your choice. OA. There is only one vector, which is x = +x4 OB. x=x₁ OC. x=X4 +x4 OD. x=x2 +3
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