Let T': R³ → R4 be a linear transformation so that T(x) = Ax, where 1 -2 -3 0 1 -1 A = 0 0 1 0 0 0 Which of the following is/are true? A. The kernel of T is a subspace of R4. B. The range of T is the column space of A. C. The null space of A is the empty set because dim(Nul A) = 0. OA and C only

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let T: R³ → R4 be a linear transformation so that T(x)
-2-3
0 1
-1
A =
00
1
0 0
0
Which of the following is/are true?
A. The kernel of T is a subspace of R4.
B. The range of T is the column space of A.
C. The null space of A is the empty set because dim(Nul A) = 0.
OA and C only
OA, B, and C
○ C only
○ A only
○ B only
Ax, where
Transcribed Image Text:Let T: R³ → R4 be a linear transformation so that T(x) -2-3 0 1 -1 A = 00 1 0 0 0 Which of the following is/are true? A. The kernel of T is a subspace of R4. B. The range of T is the column space of A. C. The null space of A is the empty set because dim(Nul A) = 0. OA and C only OA, B, and C ○ C only ○ A only ○ B only Ax, where
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