Define the linear transformation T by T(x) = Ax. Find ker(7), nullity(7), range(7), and rank(7). 0 -2 6 [2 4 0 19 ker(7) (If there are an infinite number of solutions use t as your parameter.) A = (a) (b) nullity (7) (c) range(T) O {(0, t): t is any real number} O R³ O R² O {(4s, 2t, 19s - 6t): s, t are any real number} O {(s, 0): s is any real number} (d) rank(7) Need Help? Read It Watch It

Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
Author:Ron Larson
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Chapter7: Eigenvalues And Eigenvectors
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Subject: calculus 

 

 

Define the linear transformation T by T(x) = Ax. Find ker(7), nullity(7), range(7), and rank(7).
0 -2 6
[2
4
0 19
ker(7) (If there are an infinite number of solutions use t as your parameter.)
A =
(a)
(b) nullity (7)
(c)
range(T)
O {(0, t): t is any real number}
O R³
O R²
O {(4s, 2t, 19s - 6t): s, t are any real number}
O {(s, 0): s is any real number}
(d)
rank(7)
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Transcribed Image Text:Define the linear transformation T by T(x) = Ax. Find ker(7), nullity(7), range(7), and rank(7). 0 -2 6 [2 4 0 19 ker(7) (If there are an infinite number of solutions use t as your parameter.) A = (a) (b) nullity (7) (c) range(T) O {(0, t): t is any real number} O R³ O R² O {(4s, 2t, 19s - 6t): s, t are any real number} O {(s, 0): s is any real number} (d) rank(7) Need Help? Read It Watch It
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