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maria [59]
3 years ago
7

Please help it’s on of my last questions

Mathematics
1 answer:
Sedbober [7]3 years ago
5 0
One
Many
One
I’m pretty sure.
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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
4 years ago
Suppose the population of Franklin was 29,494 in the year 2000. If the exponential rate of increase is 1.23%, what is the curren
alukav5142 [94]

Answer:

652997

Step-by-step explanation:

1.23*18=22.14

22.14*29,494=652997.16

round it down to get 652997

8 0
4 years ago
Rena's rowboat drifts 23 feet from shore,
Brums [2.3K]

Answer: 23 + 9 = 32

Step-by-step explanation:

7 0
3 years ago
SOMEONE PLEASE HELP ME PLEASE
Stells [14]

Answer:

jajajajajjajajajajjajajajjajajajaj

3 0
3 years ago
evan has a job selling magazine and newspaper subscriptions. he earns $23 for each magazine subscription and $54 for each newspa
SashulF [63]
First we write the variables already defined:
 m = the number of magazine subscriptions sold
 n = the number of newspaper subscriptions sold
 We now write the system of inequations based on the following facts:
 "he earns $ 23 for each magazine subscription and $ 54 for each newspaper subscription that he sells. his goal is to make more than $ 642 per week"
 23m + 54n> 642
 "I have expectations to sell at least 10 subscriptions per week"
 m + n> = 10
 Answer: 
 A system of inequalities that models the given situation is: 
 23m + 54n> 642 
 m + n> = 10
5 0
4 years ago
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