Let A be a 3 x 4 matrix, B be an s x t matrix and...

 

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Let A be a 3 x 4 matrix, B be an s x t matrix and C be an n x m matrix. (a) What can you say about s and t, if you know that AB and ABT are both defined? (b) What can you say about s. t n and m. if you know that AB + ACT is defined? (c) What can you say about s, t n and m, if you know that ABAT + C BC is defined? Let A be a 3 x 4 matrix, B be an s x t matrix and C be an n x m matrix. (a) What can you say about s and t, if you know that AB and ABT are both defined? (b) What can you say about s. t n and m. if you know that AB + ACT is defined? (c) What can you say about s, t n and m, if you know that ABAT + C BC is defined?