Let T: M₂ (R) → M₂ (R) be defined by 0 T(4) = (1₂3) 4 subspaces of T. A. Choose all invariant Answer will be marked as correct only if all correct choices are selected and no wrong choice is selected. There is no negative mark for this question. Subspace of all matrices whose first column is zero. Subspace of all symmetric matrices Subspace of all matrices whose second column is zero. Subspace of all matrices whose second row is zero. Subspace of all skew-symmetric matrices Subspace of all diagonal matrices Subspace of all matrices whose first row is zero

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.1: Operations With Matrices
Problem 76E
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Let T M₂ (R) → M₂ (R) be defined by
0
T(A) = (1₂3) 4
subspaces of T.
A. Choose all invariant
Answer will be marked as correct only if all
correct choices are selected and no wrong
choice is selected. There is no negative mark
for this question.
Subspace of all matrices whose first
column is zero.
Subspace of all symmetric matrices
Subspace of all matrices whose second
column is zero.
Subspace of all matrices whose second
row is zero.
Subspace of all skew-symmetric
matrices
Subspace of all diagonal matrices
Subspace of all matrices whose first row
is zero.
Transcribed Image Text:Let T M₂ (R) → M₂ (R) be defined by 0 T(A) = (1₂3) 4 subspaces of T. A. Choose all invariant Answer will be marked as correct only if all correct choices are selected and no wrong choice is selected. There is no negative mark for this question. Subspace of all matrices whose first column is zero. Subspace of all symmetric matrices Subspace of all matrices whose second column is zero. Subspace of all matrices whose second row is zero. Subspace of all skew-symmetric matrices Subspace of all diagonal matrices Subspace of all matrices whose first row is zero.
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