Question-2

What is the relationship between the following matrices?

• diagonal matrix

• scalar matrix

• identity matrix

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• Diagonal, scalar and identity matrices are all square matrices.

• An identity matrix is also a scalar matrix.

• A scalar matrix is also a diagonal matrix.

If \(S\) is a scalar matrix, then it can be expressed as \(S=cI\) for some scalar \(c\), where \(I\) is the identity matrix of the same order as the scalar matrix.