An n × m matrix when added to a p × m matrix (p

Name: An n × m matrix when added to a p × m matrix (p < m), yields A)an n × m matrix. B)an n × p matrix. C)an m × p matrix. D)Matrices of these dimensions cannot be added.
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Question

An n × m matrix when added to a p × m matrix (p < m), yields
A)an n × m matrix.
B)an n × p matrix.
C)an m × p matrix.
D)Matrices of these dimensions cannot be added.

Quizplus · Accepted Answer

Matrix addition is only defined for matrices of the same dimensions. Since an n × m matrix and a p × m matrix do not have the same dimensions (because p < m), they cannot be added together.

An N × M Matrix When Added to a P