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Question: If the trace of the matrix A = \(\begin{bmatrix} x - 1 & 0 & 2 & 5 \\ 3 & x^{2} - 2 & 4 & 1 \\ - 1...

If the trace of the matrix

A = $\begin{bmatrix} x - 1 & 0 & 2 & 5 \ 3 & x^{2} - 2 & 4 & 1 \

  • 1 & - 2 & x - 3 & 1 \ 2 & 0 & 4 & x^{2} - 6 \end{bmatrix}$ is 0, then x is equal to-
A

– 2, 3

B

2, – 3

C

–3, 2

D

3, – 2

Answer

–3, 2

Explanation

Solution

Trace of the matrix is defined as ∑i=1naii=2x2+2x−12=0\sum_{i = 1}^{n}{a_{ii} = 2x^{2} + 2x - 12 = 0}

Ž x = – 3, 2