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posledela
3 years ago
5

Consider the matrices

Mathematics
1 answer:
umka21 [38]3 years ago
5 0

Answer:

Step-by-step explanation:

S = \left[\begin{array}{cc}4&1\\-1&-2\end{array}\right]

T = \left[\begin{array}{cc}-5&0\\-4&3\end{array}\right]

ST = \left[\begin{array}{cc}4&1\\-1&-2\end{array}\right] × \left[\begin{array}{cc}-5&0\\-4&3\end{array}\right] = \left[\begin{array}{cc}14(-5)+1(-4)&(4)0+1(3)\\(-1)(-5)+(-2)(-4)&(-1)0+(-2)(3)\end{array}\right] =

= \left[\begin{array}{cc}-24&3\\13&-6\end{array}\right]

TS = \left[\begin{array}{cc}-5&0\\-4&3\end{array}\right] × \left[\begin{array}{cc}4&1\\-1&-2\end{array}\right] = \left[\begin{array}{cc}(-5)(4)+(0)(-1)&(-5)(1)+(0)(-2)\\(-4)(4)+3(-1)&(-4)(1)+(3)(-2)\end{array}\right] =

= \left[\begin{array}{cc}-20&-5\\-19&-10\end{array}\right]

ST ≠ TS

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