document.write( "Question 1143887: Suppose A is a 5 x 3 matrix, B is an r x s matrix and C is a 4 x 5 matrix. If At BC is defined, then what is the size of b \n" ); document.write( "

Algebra.Com's Answer #764821 by ikleyn(52786) $\"\"$ $\"About$

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document.write( "Since A is 5 x 3 matrix, the matrix  is 3 x 5 matrix (3 rows and 5 columns).\r\n" );
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document.write( "Since the matrix product   is defined, it implies that matrix B has 5 rows.\r\n" );
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document.write( "Since the matrix C is 4 x 5 matrix and the matrix product BC is defined, it implies that matrix B has 4 columns.\r\n" );
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document.write( "ANSWER.  Matrix B has 5 rows and 4 columns, i.e. is 5 x 4 matrix.\r\n" );
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