Maths
General
Easy
Question
A is an involutary matrix given by A = then inverse of will be
 2A


 A^{2}
Hint:
inverse of A exists.
The correct answer is: 2A
A^{1 }/2
We know that an involutary matrix is one which follows the property A^{2}= I, I = identity matrix of 3^{rd} order.
This means that A= A^{1}
A/2 = A^{1 }/2
Inverse of A/2 = A^{1 }/2, since inverse of A/2 exists.
an involutary matrix is one which follows the property A2= I, I = identity matrix of 3rd order.
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