If a and b are real numbers such that ab = 0, then a = 0 or b = 0. However, if A and B
Chapter 8, Problem 108(choose chapter or problem)
Think About It If a and b are real numbers such that ab = 0, then a = 0 or b = 0. However, if A and B are matrices such that AB = O, it is not necessarily true that A = O or B = O. Illustrate this using the following matrices.
\(A=\left[\begin{array}{ll}3&3\\ 4&4\end{array}\right],\quad\ \ B=\left[\begin{array}{rr}1&-1\\ -1&1\end{array}\right]\)
Text Transcription:
A = [ _4 4 ^3 3], B = [ _-1 1 ^1 -1]
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