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)an m × m matrix. E)None of the above
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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)an m × m matrix.
E)None of the above

Quizplus · Accepted Answer

Matrix addition is only defined for matrices of the same dimensions. Since the matrices have different dimensions (n × m and p × m), they cannot be added.

An N × M Matrix When Added to a P