Question

'1 Let A be an m X n matrix and let B be an n X m matrix. a) Prove that if n m, then det(AB) = 0. b) In particular, let m = 2 and n = 3. Give an example of A and B such that det(AB) = 0.'

Name: 1 let a be an m x n matrix and let b be an n x m matrix a prove that if n m then detab 0 b in particular let m 2 and n 3 give an example of a and b such that detab 0 10452
Uploaded: 2022-02-06T01:24:37-08:00
Duration: 3 min 19 s
Channel: Ekaveera Kumar
Description: 1 let a be an m x n matrix and let b be an n x m matrix a prove that if n m then detab 0 b in particular let m 2 and n 3 give an example of a and b such that detab 0 10452

          '1 Let A be an m X n matrix and let B be an n X m matrix.
a) Prove that if n
m, then det(AB) = 0. b) In particular, let m = 2 and n = 3. Give an example of A and B such that det(AB) = 0.'

Added by Aaron C.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Ekaveera Kumar

02/06/2022

Step 1

First, we know that the product of two matrices AB will have dimensions m x m. Show more…

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'1 Let A be an m X n matrix and let B be an n X m matrix. a) Prove that if n m, then det(AB) = 0. b) In particular, let m = 2 and n = 3. Give an example of A and B such that det(AB) = 0.'