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If a is 3 × 4 Matrix and B is a Matrix Such that A'B and Ba' Are Both Defined. Then, B is of the Type - Mathematics

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प्रश्न

If A is 3 × 4 matrix and B is a matrix such that A'B and BA' are both defined. Then, B is of the type 

पर्याय

  • 3 × 4

  • 3 × 3

  • 4 × 4 

  • 4 × 3

MCQ

उत्तर

3 × 4 

The order of A is 3x  4. So, the order of A' is 4x  3 

Now, both 

`A’B` and `BA’` are defined. So, the number of columns in A' should be equal to the number of rows in B for A'B.
Also, the number of columns in B should be equal to number of rows in A' for BA'.

Hence, the order of matrix B is 3 X   4

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पाठ 5: Algebra of Matrices - Exercise 5.7 [पृष्ठ ६७]

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आरडी शर्मा Mathematics [English] Class 12
पाठ 5 Algebra of Matrices
Exercise 5.7 | Q 22 | पृष्ठ ६७

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