Engg. Mathematics : Linear algebra-2

If A is 3 × 3 matrix and Trace A = 9, |A| = 24 and one of the eigen values is 3, then sum of other eigen values is ________.

A matrix with 0 as one of its eigen values will be called as?

If the eigen values of matrix A are 2, 3, 5. What is the trace of (A²-5A+ 6I)?

The determinant of a 2 × 2 matrix is 30. If one eigen value of the matrix is 5, then other eigen value is ________.

A matrix has eigen values –6 and –3, and the corresponding eigen vectors are respectively. The matrix is?

What are the eigen values of matrix given below:

A =

Consider the matrix

The sum of its eigen values is _____.