3. True or false A, B, C are nxn matrices, and x is a nxl vector. (a) If C = A + B, then detC = detA + detB. - (b) If C AB, then detC = detAdetB. = (c) If Ax 0 has only trivial solutions, it implies that detA=0. (d) If A is nonsingular, it implies that A is invertible. -1 (e) (AB)-¹ = B−¹A¯¹
3. True or false A, B, C are nxn matrices, and x is a nxl vector. (a) If C = A + B, then detC = detA + detB. - (b) If C AB, then detC = detAdetB. = (c) If Ax 0 has only trivial solutions, it implies that detA=0. (d) If A is nonsingular, it implies that A is invertible. -1 (e) (AB)-¹ = B−¹A¯¹
ChapterB: Graphical Analysis Of Planar Trusses
Section: Chapter Questions
Problem 2P
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Transcribed Image Text:3.
True or false
A, B, C are nxn matrices, and x is a nxl vector.
(a) If C = A + B, then detC = detA + detB.
-
(b) If C AB, then detC = detAdetB.
=
(c) If Ax 0 has only trivial solutions, it implies that detA=0.
(d) If A is nonsingular, it implies that A is invertible.
-1
(e) (AB)-¹ = B−¹A¯¹
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