Home/ Questions/(5 points) Select all statements below which are true for all invertible n x n matrices...
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Asked: 2022-04-13T07:05:53+00:00 In:

(5 points) Select all statements below which are true for all invertible n x n matrices…

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(5%20points)%20Select%20all%20statements%20below%20which%20are%20true%20for%20all%20invertible%20n%20x%20n%20matrices...

(5 points)
Select all statements below which are true for all invertible n × n matrices A and B
A. A2 B8 is invertible 
B. ( In + A ) ( In + A-1 ) = 2In + A + A-1
C. A + B is invertible
D. ( AB )-1 = A-1B-1
E. ( A + B )2 = A2 + B2 + 2AB
F. ABA-1 = B
♦ Relevant knowledge

An n × n matrix A is invertible if it is an n × n matrix B that AB = BA = In and In is the identity matrix of n× n. A matrix is invertible when and only if the determinator is not zero. It should be noted that det (A) det (B) = det (AB).

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