Answer: a) AB = $\left[\begin{array}{ccc}-14&26\\-11&22\end{array}\right]$ ; b) $\left[\begin{array}{ccc}5&-5\\13&9\end{array}\right]$ ; c) No, they are different; d) No, they are never the same;

Step-by-step explanation:

a) A = $\left[\begin{array}{ccc}-2&4\\1&3\end{array}\right]$ , B = $\left[\begin{array}{ccc}-2&1\\-3&7\end{array}\right]$ . This multiplication is possible, because matrix A has 2 columns and matrix B has 2 rows. When those value are equal, the multiplication is possible.

AB = $\left[\begin{array}{ccc}-2&4\\1&3\end{array}\right]$ . $\left[\begin{array}{ccc}-2&1\\-3&7\end{array}\right]$ = $\left[\begin{array}{ccc}-14&26\\-11&22\end{array}\right]$

b) BA = $\left[\begin{array}{ccc}-2&1\\-3&7\end{array}\right]$ . $\left[\begin{array}{ccc}-2&4\\1&3\end{array}\right]$ = $\left[\begin{array}{ccc}5&-5\\13&9\end{array}\right]$

c) As, we can see, parts a and b are differents.

d) With matrices, multiplication is not commutative, which means AB≠BA

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4 years ago

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How much state tax is withheld from $36,200 if the tax rate is 4%?

Flura [38]

Answer:

$1448

Step-by-step explanation:

Tax=rate*amount=(4/100)*36200=1448

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