Which of the following statement is false regarding operations with matrices?
A.)AB≠BA
B.)you can square a 3 x 1 matrix
C.)if A B, and C are all m x n matrices, then A+(B+C)=(A+B)+C
D.) if r is a matrix scalar, then rA=Ar

Respuesta :

B is false.  You cannot square a 3x1 matrix.  

In order to multiply matrices, the number of columns of the first matrix must match the number of rows of the second matrix.  To square a 3x1 matrix, you would be multiplying a 3x1 by a 3x1; the number of columns in the first one is 1, but the number of rows of the second matrix is 3.  They are not compatible.
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