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Algebra of Matrices — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsAlgebra of Matrices2 Marks
Question
If A is an m × n matrix and B is n × p matrix does AB exist? If yes, write its order.
✓

Answer

Given: Order of A = m × n
Order of B = n × p
Since the number of columns in A are equal to the number of rows in B, i.e. n, AB exists.
Order of AB = Number of rows in A × Number of columns in B = m × p

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