The trace of a matrix is the sum of its diagonal elements, while the transpose of a matrix is obtained by converting rows into columns. For example, in a 3x3 matrix with diagonal elements 1, 5, and 9, the trace is 1+5+9=15, and the transpose swaps the matrix dimensions by making each row become a column.
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How to find the Trace and Transpose of a matrix? #matrixAdded:
How to find, trace, and transpose of a matrix?
>> [music] >> So, you can see there's a 3 cross 3 matrix.
And the diagonal element of this matrix [music] are these. 1 5 9 So, to calculate the trace of this matrix, >> [music] >> we just add those element and the answer will come This is the trace [music] of this matrix.
Now, coming to the transpose, how to calculate the transpose of a matrix? So, the transpose of this matrix will be row >> [music] >> will become as column. That means the transpose of this matrix is 1 2 3 4 5 6 7 8 9 The row [music] become column. Thank you.
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