Mathematics, 10.09.2019 04:30 25cotahai
Explain why the formula is not valid for matrices. illustrate your argument with examples. (a + b)(a − b) = a2 − b2 the formula is not valid because in general, the distributive property is not valid for matrices. the formula is not valid because in general, b(−b) ≠ −b2 for matrices. the formula is not valid because in general, ab ≠ ba for matrices. the formula is not valid because in general, a(−b) ≠ −ab for matrices. select the pair of matrices, a and b, for which the formula is not valid.
Answers: 1
![A=\left[\begin{array}{ccc}1&0&0\\0&0&6\\0&8&0\end{array}\right] \\B=\left[\begin{array}{ccc}0&2&0\\6&0&0\\0&0&9\end{array}\right] \\(A -B) = \left[\begin{array}{ccc}1&-2&0\\-6&0&6\\0&8&-9\end{array}\right]\\\\(A + B) = \left[\begin{array}{ccc}1&2&0\\6&0&6\\0&8&9\end{array}\right]\\(A - B)(A + B) = \left[\begin{array}{ccc}-11&2&-12\\-6&36&54\\48&-72&-33\end{array}\right]\\A^2 - B^2 = \left[\begin{array}{ccc}-11&0&0\\0&36&0\\0&0&-33\end{array}\right]\\](/tpl/images/0226/5206/646f4.png)
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Explain why the formula is not valid for matrices. illustrate your argument with examples. (a + b)(a...
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