Consider a matrix A, and let B= rref(A). %3D a. Is ker(A) necessarily equal to ker(B)? Explain. b. Is im(A) necessarily equal to im(B)? Explain.

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Chapter2: Second-order Linear Odes
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Consider a matrix A, and let B = rref( A).
a. Is ker(A) necessarily equal to ker( B)? Explain.
b. Is im(A) necessarily equal to im(B)? Explain.
Transcribed Image Text:Consider a matrix A, and let B = rref( A). a. Is ker(A) necessarily equal to ker( B)? Explain. b. Is im(A) necessarily equal to im(B)? Explain.
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