Q. Let A be a real n×n matrix. (a) Show that A =0 if AA^T =0. (b)...

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Advance Math

Q. Let A be a real n×n matrix.
(a) Show that A =0 if AA^T =0.
(b) Show that A is symmetric if and only if A^2= AA^T

Answer & Explanation Solved by verified expert

3.9 Ratings (786 Votes)

a Let A be an nn matrix with real entries where n2 LetAATbij where AT is the transpose of A If b11b22bnn0 showthat A0LetAaijATajiAATbijso that0Now by See Answer

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Q. Let A be a real n×n matrix. (a) Show that A =0 if AA^T =0. (b)...

50.1K

Verified Solution

Question

Advance Math

Q. Let A be a real n×n matrix.
(a) Show that A =0 if AA^T =0.
(b) Show that A is symmetric if and only if A^2= AA^T

Answer & Explanation Solved by verified expert

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Q. Let A be a real n×n matrix. (a) Show that A =0 if AA^T =0. (b)...

50.1K

Verified Solution

Question

Advance Math

Q. Let A be a real n×n matrix.(a) Show that A =0 if AA^T =0.(b) Show that A is symmetric if and only if A^2= AA^T

Answer & Explanation Solved by verified expert

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Q. Let A be a real n×n matrix.
(a) Show that A =0 if AA^T =0.
(b) Show that A is symmetric if and only if A^2= AA^T