Assignment 2 Math 270
Athabasca University
Question 1.
a) Given
Then
and
then find
, and
B)
To be Prove p(x)=p1(A)p2(A) for an arbitrary square matrix A
Given a polynomial
Let A is an arbitrary square matrix
we can write here polynomial in terms of matrix
where I is an identity matrix of order 2x2
now
p1(A) and p2(A) are both factors of p(A)
so that p(A)=p1(A)p2(A)
Athabasca University
Question 1.
a) Given
Then
and
then find
, and
B)
To be Prove p(x)=p1(A)p2(A) for an arbitrary square matrix A
Given a polynomial
Let A is an arbitrary square matrix
we can write here polynomial in terms of matrix
where I is an identity matrix of order 2x2
now
p1(A) and p2(A) are both factors of p(A)
so that p(A)=p1(A)p2(A)
