Chapter: Matrices· Mathematics & Statistics (Commerce) Part 1

State whether true or false: Every identity matrix is a scalar matrix.

Q.1 (B)(i) State whether true or false: Every identity matrix is a scalar matrix.

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Answer: True

A scalar matrix is a diagonal matrix whose diagonal elements are all equal to the same scalar \(k\). The identity matrix \(I\) is a diagonal matrix with every diagonal element equal to 1, i.e. it is a scalar matrix with \(k = 1\).

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State whether true or false: Every identity matrix is a scalar matrix.

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