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If A is a lower triangular matrix then A^T is a _________

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If A is a lower triangular matrix then A^T is a _________

(a) Lower triangular matrix

(b) Upper triangular matrix

(c) Null matrix

(d) None of the mentioned

I have been asked this question in examination.

Asked question is from Transpose of Matrices topic in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

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Best answer
Correct option is (b) Upper triangular matrix

Explanation: By transpose a lower triangular matrix will turn to upper triangular matrix and vice – versa.

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