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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Question

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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