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If A is a 2 × 3 matrix such that AB and AB' both are defined, then the order of the matrix B is ______. - Mathematics

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Question

If A is a 2 × 3 matrix such that AB and AB' both are defined, then the order of the matrix B is ______.

Options

  • 2 × 2

  • 2 × 1

  • 3 × 2

  • 3 × 3

MCQ
Fill in the Blanks

Solution

If A is a 2 × 3 matrix such that AB and AB' both are defined, then the order of the matrix B is 3 × 3.

Explanation:

Here, matrix A is of order 2 × 3. And AB and AB' are both defined. Then, from the given options order of matrix B is 3 × 3.

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