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Mathematics 18 Online
OpenStudy (anonymous):

Pleasee helpp!! Tell whether the product AB is defined for A4x5 andB5x3. If yes, give the product's dimensions as the following example: 2x3. If no, write no in the box.

jimthompson5910 (jim_thompson5910):

matrix A has 4 rows and 5 columns matrix B has 5 rows and 3 columns

jimthompson5910 (jim_thompson5910):

Since # of columns in matrix A = # of rows in matrix B this means that AB is defined and it will be a 4x3 matrix The '4' comes from the "4x5" in matrix A and the '3' comes from the "5x3" in matrix B

jimthompson5910 (jim_thompson5910):

here is a visual way to do this |dw:1391736417516:dw|

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