Show that is a solution of the matrix equation X² - 2X - 3I = 0 where I is the unit matrix of order 2.

Question

KnowledgeBoat · Accepted Answer

Given, X² - 2X - 3I = 0 Putting value of X and I in above equation we get, Since, L.H.S. = = R.H.S. Hence, proved that X² - 2X -3I = 0. ∴ is a solution of the matrix equation X² - 2X - 3I = 0

Mathematics

Show that is a solution of the matrix equation X<sup>2</sup> - 2X - 3I = 0 where I is the unit matrix of order 2.

Matrices

Related Questions