Answer:
The product of given
is ![\left[\begin{array}{ccc}-32 \\4\\20\\-36\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-32%20%5C%5C4%5C%5C20%5C%5C-36%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
Consider the given product of a constant and a matrix.
![-4 \cdot \left[\begin{array}{ccc}8\\-1\\-5\\9\end{array}\right]](https://tex.z-dn.net/?f=-4%20%5Ccdot%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D8%5C%5C-1%5C%5C-5%5C%5C9%5Cend%7Barray%7D%5Cright%5D)
To do product we multiply scalar -4 with each element of the matrix given,
![-4 \cdot \left[\begin{array}{ccc}8\\-1\\-5\\9\end{array}\right]= \left[\begin{array}{ccc}-4 \times 8 \\-4 \times -1\\-4 \times -5\\-4 \times 9\end{array}\right]](https://tex.z-dn.net/?f=-4%20%5Ccdot%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D8%5C%5C-1%5C%5C-5%5C%5C9%5Cend%7Barray%7D%5Cright%5D%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-4%20%5Ctimes%208%20%5C%5C-4%20%5Ctimes%20-1%5C%5C-4%20%5Ctimes%20-5%5C%5C-4%20%5Ctimes%209%5Cend%7Barray%7D%5Cright%5D)
On solving further , we get,
![\left[\begin{array}{ccc}-4 \times 8 \\-4 \times -1\\-4 \times -5\\-4 \times 9\end{array}\right]=\left[\begin{array}{ccc}-32 \\4\\20\\-36\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-4%20%5Ctimes%208%20%5C%5C-4%20%5Ctimes%20-1%5C%5C-4%20%5Ctimes%20-5%5C%5C-4%20%5Ctimes%209%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-32%20%5C%5C4%5C%5C20%5C%5C-36%5Cend%7Barray%7D%5Cright%5D)
Thus, the product of given
is ![\left[\begin{array}{ccc}-32 \\4\\20\\-36\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-32%20%5C%5C4%5C%5C20%5C%5C-36%5Cend%7Barray%7D%5Cright%5D)
The next three terms are 2, 1/2, 1/4
You take 1/2 of each previous term to get the next term, which means this sequence is geometric (first term is 4, common ratio is 1/2)
Answer:
- The order tells us what sides are congruent.
- The order tells us what angles are congruent
It is important that we write the vertices of a triangle in a congruent statement, because it will tell us if the sides and angles are congruent.
Hope this helps you!