3 years ago

Which system of equations corresponds to this matrix multiplication operation

Mathematics

2 answers:

dedylja [7]3 years ago

8 0

Answer:

Option B

Step-by-step explanation:

I just completed the test.

faltersainse [42]3 years ago

3 0

Answer:

Option (B)

Step-by-step explanation:

$\begin{bmatrix}5 & 2 & 1\\ 7 & -5 & 2\\ -5 & 3 & 1\end{bmatrix}\times \begin{bmatrix}x\\ y\\ z\end{bmatrix}=\begin{bmatrix}16\\ 3\\ 12\end{bmatrix}$

By applying multiplication property of the matrices,

$\begin{bmatrix}(5x+2y+z)\\ (7x-5y+2z)\\(-5x+3y+z) \end{bmatrix}=\begin{bmatrix}16\\ 3\\ 12\end{bmatrix}$

Therefore, system of equations formed will be,

5x + 2y + z = 16

7x - 5y + 2z = 3

-5x + 3y + z = 12

Option (B) will be the correct option.

You might be interested in

A clothing store is having a sale on graphing T-shirts and plain T-shirts. There are 56 graphic T-shirts on sale. The store mana

Butoxors [25]

Answer:

Step-by-step explanation:

80 shirts on sale, some basic divisoin/ multiplication.

6 0

3 years ago

Read 2 more answers

What is m∠A? 45° 103° 77° 35°

Delvig [45]

Answer:103°

Step-by-step explanation:

because do the math

3 0

3 years ago

On a coordinate grid, the coordinates of vertices P and Q for Polygon PQRS are P(1, 2) and Q(−1, 2). What is the length of Side

Molodets [167]

Answer:

3 units

Step-by-step explanation:

6 0

3 years ago

A penguin can dive 48 meters below the surface of the water to reach a fish. It dives 2% of the total depth every 1 second.

nikitadnepr [17]

The answer is A- 3.84 meters

3 0

3 years ago

Which logarithmic equation is equivalent to 2^5=32?

kolbaska11 [484]

Answer: $5=log_{2}(32)$

Step-by-step explanation:

1. By definition, you have if $y=b^{x}$ , then $x=log_{b}(y)$

2. Keeping this on mind, you must follow the proccedure shown below:

- You have that:

$2^{5}=32$

Where:

$x=5\\y=32\\b=2$

- Substitute values into $x=log_{b}(y)$ . Then, you obtain:

$5=log_{2}(32)$

6 0

3 years ago

Read 2 more answers

Which system of equations corresponds to this matrix multiplication operation￼

Which system of equations corresponds to this matrix multiplication operation