# If find f(A), where f(x) = x2 – 2x + 3.

Given : and f(x) = x2 – 2x + 3.

Matrix A is of order 2 2.

To find : f(A)

Formula used : Where cij = ai1b1j + ai2b2j + ai3b3j + ……………… + ainbnj

A2 is a matrix of order 2 x 2.

f(x) = x2 – 2x + 3

f(A) = A2 – 2A + 3I

A2 = = A2 = = A2 = 2A = 2 × = 2A = 3I = 3 × = 3I = f(A) = A2 – 2A + 3I = + = f(A) = A2 – 2A + 3I = f(A) = A2 – 2A + 3I = Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos  Triangular Matrices & operations on matrices58 mins  Types of Matrices & Properties51 mins  Determining a determinant63 mins  Determinants of Matrices of different order59 mins  Lecture on Product of Determinants58 mins  Interactive Quiz on Properties of Determinants43 mins  Know About finding the Adjoint & Inverse Of Matrix46 mins  Test Yourself, Properties of Determinants30 mins  Interactive Quiz on Matrices & Determinants48 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses 