Question 1 :Answer each of the following as True or False justifying your answers: a) If A and B are 5 x 5 matrices such that AB = -BA, then AB is singular.b) If (AB)? = A²B², then AB =c) If A is ann X n matrix such that A²|C1 + 2a1 bị a1= |C3 + 2a3 b3 az|c2 + 2a2 b2 azВА.0, then (I – A)-1 = I + A.|a1a2azd) b1 b3 b3|C1C2C3e) The vector (1,2,0,4) is a linear combination of the vectors (1,0,1,2), (2,0,2,3)and (3,0,2,2).

Name: Question 1 :Answer each of the following as True or False justifying y
Uploaded: 2024-03-20T07:07:37.000Z
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Description: Question 1 :Answer each of the following as True or False justifying your answers: a) If A and B are 5 x 5 matrices such that AB = -BA, then AB is singular.b) If (AB)? = A²B², then AB =c) If A is ann X n matrix such that A²|C1 + 2a1 bị a1= |C3 + 2a3

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If A and B are 5 × 5 matrices such that AB = –BA, then AB is singular. If (AB)² = A²B², then AB = If A is an n × n matrix such that A? = 0, then (I – A)-1 = I + A. ВА.