SOLUTION: If E is any n x n matrix with E^2 = Identity matrix, what is (Identity matrix + E)(Identity matrix - E)? What is (Identity matrix

SOLUTION: If E is any n x n matrix with E^2 = Identity matrix, what is (Identity matrix + E)(Identity matrix - E)? What is (Identity matrix - E)(Identity matrix + E)?

Question 188994: If E is any n x n matrix with E^2 = Identity matrix, what is
(Identity matrix + E)(Identity matrix - E)?
What is (Identity matrix - E)(Identity matrix + E)?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If E is any n x n matrix with E^2 = Identity matrix, what is
(Identity matrix + E)(Identity matrix - E)
= I -E + E - E^2 = I-E^2
-------------------------------
What is (Identity matrix - E)(Identity matrix + E)
= I + E - E - E^2 = I - E^2
===============================================
Cheers,
Stan H.
--------------------------------------

RELATED QUESTIONS
What is the 6X6 identity... (answered by Alan3354)

what is the diffrence between unit and identity matrix? (answered by Edwin McCravy)

What is the transpose of a 6x6 identity matrix (answered by ikleyn)

1 3 1 2 1 -5 3 -1 -4 What is the identity of the... (answered by Photonjohn)

Let F be a field of characteristic 0 and let W = ( A = [a_ij] ∈ F^(n×n) : tr(A) =... (answered by CPhill)

Given the matrix A= 1 1 1 1 2 3 1 4 5 Find a 3X3 matrix, B, that is not... (answered by Edwin McCravy)

Given that the matrix 𝑨 = [ 1 3 −2 −1 0 6 2 4 0 ] Find the matrix X, where... (answered by Edwin McCravy)

Given P = ( 3 0 2 2 1 2 -3 -4 -6 ) a) if ( 2 6 n -2 m 9 0 -2 1 ) is the... (answered by ElectricPavlov)

What is matrix a+ matrix... (answered by Fombitz)