If A and B are square non-singular matrices of the same dimension. Which of the following statements is always true? А. (АB)-1 — Ав-1 В. (А — В)Т %3 АТ - вт С. АВ — ВА D. (АB)T - АТВТ

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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If A and B are square non-singular matrices of the same dimension.
Which of the following statements is always true?
А. (АB)-1 — АВ-1
В. (А — В)Т — AT — ВТ
%3D
С. АВ — ВА
D. (AB)T = ATBT
Transcribed Image Text:If A and B are square non-singular matrices of the same dimension. Which of the following statements is always true? А. (АB)-1 — АВ-1 В. (А — В)Т — AT — ВТ %3D С. АВ — ВА D. (AB)T = ATBT
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