T: R3[x] → M2x3 (R) is a linear transformation. The matrix of T with 1 1 2 3 1 2 3 4 respect to (1, x, x² , x³ ) and (E11, E21, E12, E22) is 2 3 5 7 0 1 1 1 Let r = Rank(T), n = Nullity(T). What is the value of 3r + 2n? %3D О 1 O 12 О 14
T: R3[x] → M2x3 (R) is a linear transformation. The matrix of T with 1 1 2 3 1 2 3 4 respect to (1, x, x² , x³ ) and (E11, E21, E12, E22) is 2 3 5 7 0 1 1 1 Let r = Rank(T), n = Nullity(T). What is the value of 3r + 2n? %3D О 1 O 12 О 14
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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![T: R3[x] → M2x3 (R) is a linear transformation. The matrix of T with
1 1
2 3
1 2 3 4
respect to (1, x, x² , x³ ) and (E11, E21, E12, E22) is
2 3 5 7
0 1
1
1
Let r = Rank(T), n = Nullity(T). What is the value of 3r + 2n?
%3D
О 1
O 12
О 14
10](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F92207898-9d84-4f6b-a174-6bfab14e9a46%2Ff9e3e73f-0d53-46aa-8b10-e4afb8bd27c4%2Fbs3rv6f_processed.png&w=3840&q=75)
Transcribed Image Text:T: R3[x] → M2x3 (R) is a linear transformation. The matrix of T with
1 1
2 3
1 2 3 4
respect to (1, x, x² , x³ ) and (E11, E21, E12, E22) is
2 3 5 7
0 1
1
1
Let r = Rank(T), n = Nullity(T). What is the value of 3r + 2n?
%3D
О 1
O 12
О 14
10
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