Engineering
Mathematics
Introduction to Matrix
Algebra of Matrices
Question

If A=[2312], B=[132431], C=[12], D=[468579]

Then which of the sums A + B, B + C, C + D and B + D is defined?
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Solution
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Order of the matrix A = 2 × 2, B = 2 × 3, C = 2 × 1 and D = 2 × 3
We know that, 
Only the matrices of the same order can be added.
Hence, only B + D is defined as they have same order.