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If a is a Matrix of Order 3 × 4 and B is a Matrix of Order 4 × 3, Find the Order of the Matrix of Ab. - Mathematics

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Question

If A is a matrix of order 3 × 4 and B is a matrix of order 4 × 3, find the order of the matrix of AB

Sum

Solution

If A is a matrix of order 3 × 4 and B is a matrix of order 4 × 3, then the order of matrix AB   is given by the number of rows in A and number of columns in B, respectively.

Thus, the order of matrix AB is

\[3 \times 3\].

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Chapter 5: Algebra of Matrices - Exercise 5.6 [Page 63]

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RD Sharma Mathematics [English] Class 12
Chapter 5 Algebra of Matrices
Exercise 5.6 | Q 41 | Page 63

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