1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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}

You might be interested in
WILL MARK AS BRAINIEST!!!!!!! In this triangle, which of the following is true?
prisoha [69]

Answer:

D

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 given angles from 180

x = 180° - (90 + 35)° = 180° - 125° = 55°

----------------------------------------------------------

Since the triangle is right use the cosine ratio to solve for b

cos35° = \frac{adjacent}{hypotenuse} = \frac{b}{20}

Multiply both sides by 20

20 × cos35° = b, hence

b = 16.38 ( to 2 dec. places )

7 0
3 years ago
Read 2 more answers
Need help this is due tonight
Luba_88 [7]

Step-by-step explanation:

the number would be heading towards the -11 because it's to negatives adding together and it's adding them up but as a negative so it u just had 6+5 it equals 11 but u just put the negative

7 0
3 years ago
What does h-13=184 equal
34kurt

Answer:

h = 197

Step-by-step explanation:

add 14 to each side, and h = 197

5 0
3 years ago
How do I solve this problem. I have to find the missing side lengths and lease my sender as radicals in simplest form
nlexa [21]

Answer:

x = y = 2√2

Step-by-step explanation:

Find the diagram attached

To get the unknown side x and y, we need to use the SOH CAH TOA identity

Opposite side = x

Adjacent = y

Hypotenuse = 4

Sin theta = opposite/hypotenuse

sin 45 = x/4

x = 4 sin 45

x = 4 * 1/√2

x = 4 * 1/√2 * √2/√2

x = 4 * √2/√4

x = 4 * √2/2

x = 2√2

Similarly;

cos theta = adjacent/hypotenuse

cos 45 = y/4

y = 4cos45

y = 4 * 1/√2

y = 4 * 1/√2 * √2/√2

y = 4 * √2/√4

y = 4 * √2/2

y = 2√2

4 0
2 years ago
4^4 x 4^7 <br><br>How do I work this problem?​
mote1985 [20]
4^4 is simply 4x4x4x4 and 4^7 is 4x4x4x4x4x4x4
6 0
3 years ago
Other questions:
  • Put 20/25 into lowest terms
    12·2 answers
  • A jar contains 26 fluid ounces of spaghetti sauce how many cups of spaghetti sauce do jars contain
    13·1 answer
  • What expression shows how to break apart 5×617
    10·2 answers
  • The product of 8 and x plus the quotient of y and 7. answer choices are (8 + x)/(7 + y) (8x) + (y/7) (8 + x)(y/7)
    7·1 answer
  • Your new phew is standing on his deck which is 4 feet off the ground. He tosses his toy up into the air. The equation h(t) = -2t
    10·1 answer
  • The mean of a population being sampled is 64, and the standard deviation is 6. If the sample size is 50, the standard error of t
    6·2 answers
  • 5 of 8
    9·1 answer
  • Pamella late for school 10% of time. Richard late for 15% of the time.
    6·1 answer
  • Plzzzzzz help
    11·2 answers
  • The table shows the amount of sugar needed to make lemonade. Are the quantities proportional? Explain which method you used and
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!