Check my work??? I will add a picture plz tell me if im right its worth 50 points!!

Which of the following is the solution to lx-13 k 18 ?

natali 33 [55]

I think d is the answer

7 0

3 years ago

Find the? inverse, if it? exists, for the given matrix.<br><br> [4 3]<br><br> [3 6]

True [87]

Answer:

Therefore, the inverse of given matrix is

$=\begin{pmatrix}\frac{2}{5}&-\frac{1}{5}\\ -\frac{1}{5}&\frac{4}{15}\end{pmatrix}$

Step-by-step explanation:

The inverse of a square matrix $A$ is $A^{-1}$ such that

$A A^{-1}=I$ where I is the identity matrix.

Consider, $A = \left[\begin{array}{ccc}4&3\\3&6\end{array}\right]$

$\mathrm{Matrix\:can\:only\:be\:inverted\:if\:it\:is\:non-singular,\:that\:is:}$

$\det \begin{pmatrix}4&3 \\3&6\end{pmatrix}\ne 0$

$\mathrm{Find\:2x2\:matrix\:inverse\:according\:to\:the\:formula}:\quad \begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}^{-1}=\frac{1}{\det \begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}}\begin{pmatrix}d\:&\:-b\:\\ -c\:&\:a\:\end{pmatrix}$

$=\frac{1}{\det \begin{pmatrix}4&3\\ 3&6\end{pmatrix}}\begin{pmatrix}6&-3\\ -3&4\end{pmatrix}$

$\mathrm{Find\:the\:matrix\:determinant\:according\:to\:formula}:\quad \det \begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}\:=\:ad-bc$

$4\cdot \:6-3\cdot \:3=15$

$=\frac{1}{15}\begin{pmatrix}6&-3\\ -3&4\end{pmatrix}$

$=\begin{pmatrix}\frac{2}{5}&-\frac{1}{5}\\ -\frac{1}{5}&\frac{4}{15}\end{pmatrix}$

Therefore, the inverse of given matrix is

$=\begin{pmatrix}\frac{2}{5}&-\frac{1}{5}\\ -\frac{1}{5}&\frac{4}{15}\end{pmatrix}$

4 0

3 years ago

How much money would a person have 8 years after they invested $2,000 into an account that has an annual interest rate of 3% tha

madam [21]

The amount of money the person would have in 8 years s $2541.74.

<h3>How much would the person have in 8 years? </h3>

The formula for calculating future value is:

FV = P (1 + r)^nm]

Where:

FV = Future value

P = Present value = $2000
R = interest rate = 3% / 12 = 0.25%
m = number of compounding = 12
N = number of years = 8 years

Value of the account in 8 years with monthly compounding = $2000(1.0025)^(12 x 8) = $2541.74

To learn more about future value, please check: brainly.com/question/18760477

4 0

1 year ago

The sum of two consecutive integers is − 17 -17. find the numbers

UkoKoshka [18]

I think it might be -76

4 0

2 years ago

Which of the following shows a group of possible angles a triangle could have?

Delvig [45]

Answer:

C. 60 degrees, 60 degrees, 60 degrees

Step-by-step explanation:

The measures of interior angles of a triangle sum to 180°.

8 0

3 years ago