Answer: a) AB = ![\left[\begin{array}{ccc}-14&26\\-11&22\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-14%2626%5C%5C-11%2622%5Cend%7Barray%7D%5Cright%5D)
; b) ![\left[\begin{array}{ccc}5&-5\\13&9\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%26-5%5C%5C13%269%5Cend%7Barray%7D%5Cright%5D)
; 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]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-2%264%5C%5C1%263%5Cend%7Barray%7D%5Cright%5D)
, B = ![\left[\begin{array}{ccc}-2&1\\-3&7\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-2%261%5C%5C-3%267%5Cend%7Barray%7D%5Cright%5D)
. 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 = . =
b) BA = . =
c) As, we can see, parts a and b are differents.
d) With matrices, multiplication is not commutative, which means AB≠BA
Answer:
use pythagoras theorem to solve ur problem.
Ratio of Nickel to Zinc:
( 2/7 ) = ( Nickel /4.9)
Nickel = 1.4 lbs.
Ratio of Copper to Zinc:
( 9/7 ) = ( Copper /4.9)
Copper = 6.3 lbs.
Alloy = Zinc + Nickel +
Copper
Alloy = 4.9 lbs. + 1.4 lbs.
+ 6.3 lbs.
Alloy = 12.6 lbs.
Hope
this answer will be a good h<span>elp for you.</span>
The absolute value of a number can never be negative. That's because it represents the distance of a number from zero on a number line. The number
is
digits to the left of zero on a number line. So, the absolute value of
would be
.
Let me know if you have any questions regarding this problem!
Thanks!
-TetraFish
Answer:
to expand, use the distributive property. therefore, we get:
6x - 24y
