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2 years ago

Is b a linear combination of a1, a2, and a3?

1 answer:

3 0

A1 = (1, -2 , 0) ; a2 = (0,1,2) ; a3 = (5,-6,8) ; b = (2,-1,6)

2*a1 = (2, -4,0)
3*a2 = (0, 3, 6)
-------------------
sum = (2, -1, 6) = b

Hope this helps

You might be interested in

Find the volume of the prism.

Rudik [331]

Answer:

216 cubic meters

Step-by-step explanation:

to find the volume of any prism the equation is bh or base times height

the base is a triangle so you find the triangles area and multiply it by the height

8 * 6 * 1/2 = 24

24 * 9 = 216

216 cubic meters

6 0

1 year ago

Reuben bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $150 more than the desktop. He p

cupoosta [38]

Same case as Pablo's, more or less.

a = price for the desktop

b = price for the laptop

we know the laptop is 150 bucks more than the desktop, b = a + 150.

how much is 7% of a? (7/100) * a, 0.07a.

how much is 9.5% of b? (9.5/100) * b, 0.095b.

total interests for the financing add up to 303, 0.07a + 0.095b = 303.

$\bf \begin{cases}
\boxed{b}=a+150\\
0.07a+0.095b=303\\
----------\\
0.07a+0.095\left(\boxed{a+150} \right)=303
\end{cases}
\\\\\\
0.07a+0.095a+14.25=303\implies 0.165a=288.75
\\\\\\
a=\cfrac{288.75}{0.165}\implies a=1750$

how much was it for the laptop? well b = a + 150.

8 0

2 years ago

Calvina Miller makes a car payment of $214.50 every month. Her car

Akimi4 [234]

12,870 dollars. Let me know if you want me to show my work.

4 0

2 years ago

Evaluate the expression when m = 63 and n = 45

sesenic [268]

The value of the given expression (3m - n)² + 4m when m = 63 and n = 45 is equal to 20,916.

<h3>What is an expression?</h3>

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

<u>Given the following variables:</u>

m = 63.

n = 45.

Substituting the given variables into the given expression, we have;

Expression = (3m - n)² + 4m.

Expression = (3(63) - 45)² + 4(45).

Expression = (189 - 45)² + 180

Expression = 144² + 180

Expression = 20,736 + 180

Expression = 20,916.

Read more on expressions here: brainly.com/question/28260012

#SPJ1

Complete Question:

Evaluate the expression when m = 63 and n = 45. (3m - n)² + 4m.

8 0

7 months ago

Help please !!!!!!!!!

madam [21]

Answer:

a=200;110;101andb=decreasing

Step-by-step explanation:

a.(100×10+1000)/10=200

(100×100+1000)/100=110

(100×1000+1000)/1000=101

8 0

2 years ago