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iris [78.8K]
2 years ago
15

How to solve the matrix equation for matrix Y.simplify all elements

Mathematics
1 answer:
marta [7]2 years ago
4 0

Given <em>YA</em> = <em>B</em>, you can solve for <em>Y</em> by multiplying by <em>A </em>⁻¹ on the right (on both sides of the equation). So we have

<em>YA</em> = <em>B</em>   ==>   (<em>YA</em>) <em>A </em>⁻¹ = <em>BA </em>⁻¹   ==>   <em>Y</em> (<em>AA </em>⁻¹) = <em>BA </em>⁻¹   ==>   <em>Y</em> = <em>BA </em>⁻¹

provided that the inverse of <em>A</em> exists. In this case, det(<em>A</em>) = 5 ≠ 0, so the inverse does exist, and

A=\begin{bmatrix}-1&-4\\0&-5\end{bmatrix} \implies A^{-1}=\dfrac1{\det(A)}\begin{bmatrix}-5&0\\4&-1\end{bmatrix} = \begin{bmatrix}-1&0\\\frac45&-\frac15\end{bmatrix}

Then

Y=\begin{bmatrix}5&-5\\8&-8\end{bmatrix}A^{-1} = \begin{bmatrix}-5&5\\-8&\frac{24}5\end{bmatrix}

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4 0
2 years ago
Write the equation of the line that has a slope of 2 and passing through (3,-4) point
wel

Answer:

y=2x-10

Step-by-step explanation:

We know that the line has a slope of 2 and it passes through the point (3, -4).

So, we can use the point-slope form:

y-y_1=m(x-x_1)

Where m is the slope and (x₁, y₁) is a point.

So, let’s substitute 2 for m and (3, -4) for (x₁, y₁). This yields:

y-(-4)=2(x-3)

Solve for y. Distribute the right:

y+4=2x-6

Subtract 4 from both sides. Therefore, our equation is:

y=2x-10

4 0
3 years ago
Find the area. 14 m 4.5 m 4.5 m 9m 12 m 3 m 3 m <br><br>plzzz help meeee​
Natasha_Volkova [10]

Answer:

52

Step-by-step explanation:

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3 years ago
The coffee cup can hold 7/9 of a pint of liquid. If Emily pours 2/3 of a pint of coffee into a cup, how much more milk can she a
Orlov [11]

1/9 pints of milk can be added by a customer

Step-by-step explanation:

We have to subtract simple fractions to find the amount of milk that can be added to a cup of coffee

Given

Total Capacity of a cup = 7/9 pints

Coffee to be added in a cup = 2/3 pints

So in order to find the amount of milk that can be added we have to subtract the amount of coffee from the total capacity of cup.

So,

Hence,

1/9 pints of milk can be added by a customer

Keywords: Fractions, addition

7 0
2 years ago
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If the circle radius is 27yd, how do I find the circumference without using pi?
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Circumference of a circle having radius of 27 yard can be found using the formula, π = 2(Area of Circle)/r, which is C = 169.6 yd

<h3>What is the Circumference of a Circle?</h3>
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  • Circumference = Perimeter
  • Circumference of a circle without using π = 2(Area of Circle)/r.

Given:

radius of circle = 27 yd

Thus:

Area = πr² = π(27)²

Area = 2,290.2 yd²

Circumference of a circle without using π = 2(2,290.2)/27

= 169.6 yd.

Learn more about Circumference of a Circle on:

brainly.com/question/16703642

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2 years ago
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