Let A = Show that A is inevitable. Find adj. A and A Also verify that AA–1 = A–1 A = I.
Verify AA–1 = A–1 A = I where
If then A3 = A–1 What is adj. A ?
From (1) and (2),A3 = A–1
If find A–1 and show that A–1 = A2.
If show that A4 = I. Hence find A–1
If A = prove that A–1 = A–2 – 6 A + 111.
If Find A–1 and hence prove that A2 – 4A – 5 I = O.
For the matrix show that A3 + 6A2 + 5A + 11 I = 0. Hence, find A–1.
If verify that A1 – 6A2 + 9A – 4 I = O and hence find A–1.
Compute (AB)-1 where