Answer:
m=0.55
Step-by-step explanation:
Divide each term by 13 and simplify.
Answer:
- 240
Step-by-step explanation:
We have to find the value of the following determinant

Now, we know that the value of a general determinant
is given by [a( ei - fh) + b(fg - di) + c(dh - eg)]
Therefore, the value of the given determinant is
= 4[0 × 4 - (-1)(-2)] + 8[3(-1) - 4 × 4] + 10[4(-2) - 3 × 0]
= - 8 - 152 - 80 = - 240 (Answer)
Answer:
x = 6.9168 or x = 7
Step-by-step explanation:
Hope that helps :)
Answer:
Step-by-step explanation:
A) Suppose that we have the complex numbers

Remember that to sum complex numbers, we sum the real parts of the two numbers to get the real part and the imaginary parts of the two numbers to get the imaginary part. Hence,

On the other hand, if we sum the matrix visualizations of
we get
![\left[\begin{array}{cc}x &y\\-y&x\end{array}\right] + \left[\begin{array}{cc}\tilde{x}&\tilde{y}\\ -\tilde{y}&\tilde{x}\end{array}\right] = \left[\begin{array}{cc}x + \tilde{x}& y + \tilde{y}\\-(y+\tilde{y})&x+\tilde{x}\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Dx%20%26y%5C%5C-y%26x%5Cend%7Barray%7D%5Cright%5D%20%2B%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D%5Ctilde%7Bx%7D%26%5Ctilde%7By%7D%5C%5C%20-%5Ctilde%7By%7D%26%5Ctilde%7Bx%7D%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Dx%20%2B%20%5Ctilde%7Bx%7D%26%20y%20%2B%20%5Ctilde%7By%7D%5C%5C-%28y%2B%5Ctilde%7By%7D%29%26x%2B%5Ctilde%7Bx%7D%5Cend%7Barray%7D%5Cright%5D)
which is the matrix visualization of
.
To multiply two complex numbers, we use the distributive law to multiplly and then separete the real part from the imaginary part

Again, if we multiply the matrix visualizations of
we get
![\left[\begin{array}{cc}x&y\\-y&x\end{array}\right]\left[\begin{array}{cc}\tilde{x}&\tilde{y}\\-\tilde{y}&\tilde{x}\end{array}\right] = \left[\begin{array}{cc}x\tilde{x}-y\tilde{y}&x\tilde{y}+y\tilde{x}\\-y\tilde{x}-x\tilde{y}&x\tilde{x}-y\tilde{y}\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Dx%26y%5C%5C-y%26x%5Cend%7Barray%7D%5Cright%5D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D%5Ctilde%7Bx%7D%26%5Ctilde%7By%7D%5C%5C-%5Ctilde%7By%7D%26%5Ctilde%7Bx%7D%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Dx%5Ctilde%7Bx%7D-y%5Ctilde%7By%7D%26x%5Ctilde%7By%7D%2By%5Ctilde%7Bx%7D%5C%5C-y%5Ctilde%7Bx%7D-x%5Ctilde%7By%7D%26x%5Ctilde%7Bx%7D-y%5Ctilde%7By%7D%5Cend%7Barray%7D%5Cright%5D)
which is the matrix viasualization of 
B) Since the usual matrix operations are consisten with the usual addition and multiplication rules in the complex numbers, we can use them to find the multiplicative inverses of a complex number
.
We are looking for the complex number
which in terms of matrices is equivalent to find the matrix
Hence,

Answer:
No she won't
Step-by-step explanation:
200(0.30)=60
60(0.06)=3.6
60+3.6=63.6
75(0.06)=4.5
75+4.5=79.5
79.5+63.6=143.1
200-143.1=56.9
56.9<60