Answer: a)
<u>Step-by-step explanation:</u>
Matrix multiplication is the sum of Row 1 (of first matrix) x Column 1 (of second matrix) ...repeat for each row.
Transpose means to switch the rows to columns.
![A=\left[\begin{array}{cc}5&2\\3&-1\end{array}\right] \qquad \times \qquad A^T=\left[\begin{array}{cc}5&3\\2&-1\end{array}\right] \\\\\\= \left[\begin{array}{cc}5(5)+2(2)&5(3)+2(-1)\\3(5)+(-1)(2)&3(3)+(-1)(-1)\end{array}\right] \\\\\\= \left[\begin{array}{cc}29&13\\13&10\end{array}\right]](https://tex.z-dn.net/?f=A%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D5%262%5C%5C3%26-1%5Cend%7Barray%7D%5Cright%5D%20%5Cqquad%20%5Ctimes%20%5Cqquad%20A%5ET%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D5%263%5C%5C2%26-1%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%5C%5C%5C%5C%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D5%285%29%2B2%282%29%265%283%29%2B2%28-1%29%5C%5C3%285%29%2B%28-1%29%282%29%263%283%29%2B%28-1%29%28-1%29%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%5C%5C%5C%5C%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D29%2613%5C%5C13%2610%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:B
Answer: 7
Step-by-step explanation:
f(x) = y
f(-5) = y
x = -5
find the value of y at x = -5
and the answer is 7
Answer:
10
Step-by-step explanation:
The formula for finding the distance between 2 points (x1, y1) and (x2, y2) is
d = √[(x2 - x1)² + (y2 - y1)²]
Here (x2, y2) = (6, -8) and (x1, y1) = (0, 0)
Plugging them gives us
d = √[(6 - 0)² + (-8 - 0)²]
d = √[(6)² + (-8)²]
d = √[36 + 64]
d = √100
d = 10
This equation has infinite solutions, any real number makes it true.
