A matrix is Idempotent if M2 M If A is idempotent prove AT i

A matrix is Idempotent if M^2= M. If A is idempotent, prove A^T is also idempotent.

If a is idempotent then A² = A

Now consider (A^T)² = (A²)^T...{Because we know that (BA)^T = A^TB^T, Take B= A}

=> (A^T)² = A^T [ Because A is idempotent]

=> A^T is idempotent

$A matrix is Idempotent if M^2= M. If A is idempotent, prove A^T is also idempotent.SolutionIf a is idempotent then A2 = A Now consider (AT)2 = (A2)T...{Because$

A matrix is Idempotent if M2 M If A is idempotent prove AT i

Solution

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