Question

Define Trace of a Matrix and find the trace
of A if
-12
2
=
O
- 1
/
2
1
2​

Answer 1

Answer:

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Answer 2

SOLUTION

TO DETERMINE

1. Define trace of the matrix

2. The trace of the matrix

$\displaystyle\begin{pmatrix} 1 & 2 & - \frac{1}{2} \\ 0 & - 1 & 2 \\ - \frac{1}{2} & 2 & 1 \end{pmatrix}$

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

$A = \displaystyle\begin{pmatrix} 1 & 2 & - \frac{1}{2} \\ 0 & - 1 & 2 \\ - \frac{1}{2} & 2 & 1 \end{pmatrix}$

∴ Trace of A

= tr A

= 1 - 1 + 1

= 1

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