Find a 3 x 3 matrix A with the following property: if T(x) = Ax, then the range of T is the xy-plane. 1 -2 4 A = -3 -12

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Determinants
Section3.CM: Cumulative Review
Problem 10CM: Find ATA for the matrix A=[531246]. Show that this product is symmetric.
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Find a 3 x 3 matrix A with the following property: if T(x) = Ax, then the range of T is the xy-plane.
1
-2
4
A =
-3
6.
-12
Transcribed Image Text:Find a 3 x 3 matrix A with the following property: if T(x) = Ax, then the range of T is the xy-plane. 1 -2 4 A = -3 6. -12
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