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What is transpose of a matrices?

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What is transpose of a matrices?

Posted by Shivam Yadav 4 years, 5 months ago

CBSE > Class 12 > Mathematics

1 answers

Meghna Thapar 4 years, 5 months ago

The transpose of a matrix is a new matrix whose rows are the columns of the original. The transpose of a matrix is simply a flipped version of the original matrix. We can transpose a matrix by switching its rows with its columns. We denote the transpose of matrix A by AT. For example, if A=[123456] then the transpose of A is AT=[142536]. In linear algebra, the transpose of a matrix is an operator which flips a matrix over its diagonal, that is it switches the row and column indices of the matrix by producing another matrix denoted as A^T (also written A′, A^tr, ^tA or A^t).

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