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A diagonal matrix is said to be a scalar matrix if its diagonal elements are -

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Question

A diagonal matrix is said to be a scalar matrix if its diagonal elements are

Options

  • equal

  • zero

  • half

  • one

MCQ

Solution

equal

Explanation:

A diagonal matrix is said to be scalar matrix 1 if its diagonal elements are equal, that is a square matrix B = [bij] n × n is said to be scalar matrix if bij = 0, when i ≠ j.

bij = k, When i = j, for some constant k.

For example, A = [3], B = `[(-1, 0),(0, 1)]` are scalar matrics of order 1, 2 respectively.

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