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Sliva [168]
2 years ago
8

Find the inverse of matrix [3-1-10 9]

Mathematics
1 answer:
levacccp [35]2 years ago
4 0
\mathbf A=\begin{bmatrix}3&-1\\-10&9\end{bmatrix}

The inverse is given by 

\mathbf A^{-1}=\dfrac1{\det\mathbf A}\mathrm{adj}\,\mathbf A

where \det\mathbf A is the determinant of the matrix, and \mathrm adj\,\mathbf A is the adjugate matrix, or transpose of the cofactor matrix.

\det\mathbf A=\begin{vmatrix}3&-1\\-10&9\end{vmatrix}=3(9)-(-1)(-10)=17

\mathrm{adj}\,\mathbf A=\begin{bmatrix}9&10\\1&3\end{bmatrix}^\top=\begin{bmatrix}9&1\\10&3\end{bmatrix}

So the inverse is

\mathbf A^{-1}=\dfrac1{17}\begin{bmatrix}9&1\\10&3\end{bmatrix}
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Please help me solve this question will give you braisnlt !
DIA [1.3K]

Answer:

s = 54m +160

Step-by-step explanation:

Given: The attachment

Required: Determine the equation

We start by picking any two equivalent points on the table:

(m_1,s_1) = (2,268)

(m_2,s_2) = (4,376)

Next, we determine the slope, M:

M = \frac{s_2 - s_1}{m_2 - m_1}

M = \frac{376 - 268}{4-2}

M = \frac{108}{2}

M = 54

The equation is then calculated as:

s - s_1 = M(m - m_1)

Where:

M = 54

(m_1,s_1) = (2,268)

So, we have:

s - 268 = 54(m - 2)

Open bracket

s - 268 = 54m - 108

Collect like terms

s = 54m - 108 + 268

s = 54m +160

Hence, the equation is: s = 54m +160

6 0
2 years ago
Kenny’s weight is 6/7 times Melvin’s weight.
Mazyrski [523]

Answer=7:13


Kenny's Weight*6/7=Melvin's Weight


So, for example, if Melvin's weigh was 7...


Kenny's Weight*6/7=7

divide both sides by 6/7

Kenny Weight=6


So we can say that Melvin's weight to Kenny's weight is 7:6


The boys total weights would be...

7+6=13



So Melvin's weight over the total weight of the two boys is:


7:13



3 0
3 years ago
Q =3x2+5x-2 R = 2 – x2 S = 2x + 5 Find Q – [R + S] Show all of the steps.
matrenka [14]

Q=3x^2+5x-2\\R=2-x^2\\S=2x+5\\\\Q-[R+S]=(3x^2+5x-2)-[(2-x^2)+(2x+5)]\\\\=(3x^2+5x-2)-(2-x^2+2x+5)\\\\=(3x^2+5x-2)-[-x^2+2x+(2+5)]\\\\=(3x^2+5x-2)-(-x^2+2x+7)\\\\=3x^2+5x-2-(-x^2)-2x-7\\\\=3x^2+5x-2+x^2-2x-7\\\\=(3x^2+x^2)+(5x-2x)+(-2-7)\\\\=\boxed{4x^2+3x-9}

5 0
2 years ago
5. Show 3 different ways on how you can multiply two polynomials to get 30x^3.
Mrrafil [7]
10x(3x^2)
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5x(6x^2)
7 0
3 years ago
I don't need an answer anymore.
Ghella [55]
Is this a question? Or what is the question if you first said it?
4 0
3 years ago
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