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iris [78.8K]
3 years ago
15

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

Mathematics
1 answer:
marta [7]3 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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Simora [160]

Answer:

c

Step-by-step explanation:

25/6 = 4.166666666667

sine it is the 6 that is repetitive, we place the bar on the 6 only

6 0
3 years ago
A piece of cable 8.5 cm long weighs 52 grams. How much does a cable that is 10 cm long weigh
Arturiano [62]
8.5 cm cable weighs = 52 grams

1 cm of cable weighs = \frac{52}{8.5}grams
                                      
                                      = 52/ \frac{85}{10} grams
                                      = 52* \frac{10}{85} grams
                                      = \frac{520}{85} grams
                                      = 6.11764 grams
Rounding it up = 6. 10000 grams

Then, 

10 cm of cable weighs = 6.10*10 grams
                                            <span>    </span>= 61.0 grams

6 0
4 years ago
X
Alex777 [14]
I think the answer is X
8 0
3 years ago
How do polynomials demonstrate the closure property under addition and subtraction?
andriy [413]

Answer:

polynomials are closed under addition, subtraction, and multiplication.

Closure: Polynomials will be closed under an operation if the operation produces another polynomial.

Polynomials form a system similar to the system of integers

3 0
4 years ago
What's the answer !!<br><br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B10%5D%7B1024%7D%20" id="TexFormula1" title=" \sqrt[10
LenaWriter [7]

Answer: 2 is your answer hope this helped

Step-by-step explanation:

8 0
3 years ago
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