Answer:
The matrix is not invertible.
Step-by-step explanation:
We are given the following matrix in the question:
![A =\left[\begin{array}{ccc}-5&0&1\\-1&3&2\\0&10&6\end{array}\right]](https://tex.z-dn.net/?f=A%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-5%260%261%5C%5C-1%263%262%5C%5C0%2610%266%5Cend%7Barray%7D%5Cright%5D)
Condition for invertible matrix:
A matrix is invertible if and only if the the determinant is non-zero.
We can find the determinant of the matrix as:
![|A| = -5[(3)(6)-(2)(10)]-0[(-1)(6)-(2)(0)] + 1[(-1)(10)-(3)(0)]\\|A| = -5(18-20)+(-10)\\|A| = 10-10\\|A| = 0](https://tex.z-dn.net/?f=%7CA%7C%20%3D%20-5%5B%283%29%286%29-%282%29%2810%29%5D-0%5B%28-1%29%286%29-%282%29%280%29%5D%20%2B%201%5B%28-1%29%2810%29-%283%29%280%29%5D%5C%5C%7CA%7C%20%3D%20-5%2818-20%29%2B%28-10%29%5C%5C%7CA%7C%20%3D%2010-10%5C%5C%7CA%7C%20%3D%200)
Since the determinant of the given matrix is zero, the given matrix is not invertible.
<u>In Bar Graphs;</u>
- Bars have equal space
- One the y-axis, we have numbers & on the x-axis, we have data which can be anything.
<u> In Histograms;</u>
- Bars are fixed
- On the y-axis, we have numbers & and on the x-axis, we have data which in continuous & will always be number.
<u>An easy way you can remember the difference is looking at the spaces of the bars. </u>
<em>A bar graph has gaps</em>
<em>A histogram has no gaps.</em>
Answer:
n=100+0.05(460)
Step-by-step explanation:
She earns 100 dollars all the time. so its 100+ something
she also earns 5% of the tips, which in that case were 460$
you can repersent that as 0.05(460)
so: 100+0.05(460)
Answer:
12 girls
Step-by-step explanation:
multiply 8 by 3/2 to get 12.
Answer:
1. its substitution
2.
3. order of operations
4. variable
5. equation
Step-by-step explanation: