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If ABT is defined as a square matrix then what is the order of the matrix B, where matrix A has order 2 × 3?
  • a)
    3 × 3
  • b)
    2 × 3
  • c)
    4 × 2
  • d)
    3 × 2
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
If ABT is defined as a square matrix then what is the order of the ma...
Let the matrix B has an order p × q, i.e, p rows and q columns.
Transpose of B is B′ will have order q × p.
For matrix, is defined.
.∴ q = 3
Given,
ABT is a square matrix.
∴ p = 2
So, the order of B = p × q = 2 × 3
Hence, the correct option is (B).
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If ABT is defined as a square matrix then what is the order of the matrix B, where matrix A has order 2 × 3?a)3 × 3b)2 × 3c)4 × 2d)3 × 2Correct answer is option 'B'. Can you explain this answer?
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