3. [1/4 Points] DETAILS PREVIOUS ANSWERS LARLINALG8 6.2.029. Define the linear transformation T by T(x) = AX. Find ker(T), nullity(7), range(7), and rank(T). :- -3 A = O 17 (a) ker(T) (If there are an infinite number of solutions use t as your parameter.) (b) nullity(7) (c) range(T) {(0, t): t is any real number} {(s, 0): s is any real number} {(6s, 3t, 17s – 7t): s, t are any real number} R3 R2 (d) rank(T)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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3. [1/4 Points]
DETAILS
PREVIOUS ANSWERS
LARLINALG8 6.2.029.
Define the linear transformation T by T(x) = Ax. Find ker(7), nullity(T), range(T), and rank(T).
-
0 -3
7
A =
6.
O 17
(a) ker(T) (If there are an infinite number of solutions use t as your parameter.)
(b) nullity(7)
(c) range(T)
{(0, t): t is any real number)
{(s, 0): s is any real number}
{(6s, 3t, 17s - 7t): s, t are any real number}
R3
R2
(d) rank(7)
Transcribed Image Text:3. [1/4 Points] DETAILS PREVIOUS ANSWERS LARLINALG8 6.2.029. Define the linear transformation T by T(x) = Ax. Find ker(7), nullity(T), range(T), and rank(T). - 0 -3 7 A = 6. O 17 (a) ker(T) (If there are an infinite number of solutions use t as your parameter.) (b) nullity(7) (c) range(T) {(0, t): t is any real number) {(s, 0): s is any real number} {(6s, 3t, 17s - 7t): s, t are any real number} R3 R2 (d) rank(7)
2. [1/3 Points]
DETAILS
PREVIOUS ANSWERS
LARLINALG8 6.4.019.
Use the matrix P to determine if the matrices A and A' are similar.
14
-1 -1
P =
1
7
A =
-20 -13
-6
p-1 =
p-'AP =
Are they similar?
Yes, they are similar.
No, they are not similar.
Need Help?
Read It
Transcribed Image Text:2. [1/3 Points] DETAILS PREVIOUS ANSWERS LARLINALG8 6.4.019. Use the matrix P to determine if the matrices A and A' are similar. 14 -1 -1 P = 1 7 A = -20 -13 -6 p-1 = p-'AP = Are they similar? Yes, they are similar. No, they are not similar. Need Help? Read It
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