Whats the "trace" of a Matrix?

1 Answer
Feb 12, 2017

Answer:

Trace of a square matrix is the sum of the elements on the main diagonal.

Explanation:

Trace of a matrix is defined only for a square matrix .

It is the sum of the elements on the main diagonal, from the upper left to the lower right, of the matrix.

For example in the matrix #A#

#A=((color(red)3,6,2,-3,0),(-2,color(red)5,1,0,7),(0,-4,color(red)(-2),8,6),(7,1,-4,color(red)9,0),(8,3,7,5,color(red)4))#

diagonal elements, from the upper left to the lower right are

#3,5,-2,9# and #4#

Hence #traceA=3+5-2+9+4=19#