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Write the expression for spur of a matrix for a 3×3 matrix whose entries are in the form of aij.

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Write the expression for spur of a matrix for a 3×3 matrix whose entries are in the form of aij.

(a) a11+ a12+a13

(b) a11+ a21+a31

(c) a12+ a22+a32

(d) a11+ a22+a33

The question was posed to me in a job interview.

My question is based upon Canonical Form or Sum of Squares Form topic in division Eigen Values and Eigen Vectors of Engineering Mathematics

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Correct answer is (d) a11+ a22+a33

Explanation: The spur of a matrix is nothing but trace of the matrix. It is defined as, ‘the sum of the diagonal elements of the matrix’.

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