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Home » Math Homework Help » Algebra Homework Help » Row by Column Matrix
Row by Column Matrix
Let A = [aij], B = [bjk].                  I = 1, 2, …., m; j = 1, n; k = 1, …., p

be two matrices of order m × n and n × p respectively.

Let A be written as



where R, denotes the ith row of the matrix A and it can be regarded as 1 × n matrix. Thus the matrix A can be regarded as an ordered set of rows. Similarly, B can be regarded as the ordered set of columns, i.e.



where each Ck k = 1, …. P is a matrix of order n × 1.

The two matrices A and B are of the type m × n and n × p respectively and hence their product is defined and is of the type n × p.



But, can be looked upon as the product of the two matrices of the types 1 × n and n × 1.

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