Question

Define trace of the matrix, find the trace of

1 3 5

2 1 5

2 0 1

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Answer 1

SOLUTION

TO DETERMINE

1. Define trace of the matrix

2. The trace of the matrix

$\displaystyle\begin{pmatrix} 1 & 3 & 5\\ 2 & 1 & 5 \\ 2 & 0 & 1 \end{pmatrix}$

EVALUATION

1.

TRACE OF A MATRIX

The trace of a square matrix A , denoted by tr A, is the sum of the principal diagonal elements of A

2.

Let the given matrix = A

$A = \displaystyle\begin{pmatrix} 1 & 3 & 5\\ 2 & 1 & 5 \\ 2 & 0 & 1 \end{pmatrix}$

∴ tr A

$= 1 + 1 + 1$

$= 3$

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