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svetlana [45]
3 years ago
9

6. Consider the A = LR factorization of the matrix A: A =   1 0 0 1 1 0 0 1 1     0 3 2 3 4 0 0 0 2 4 0 0 0 0 0   withou

t multiplying L and R (a) Find a basis for C(A). (b) Find a basis for R(A). (c) Find a basis for N(A). (d) Find a basis for N(AT ). (e) Write the dimension of each of these subspace.

Mathematics
1 answer:
Natali [406]3 years ago
8 0

Answer:

Please see attachments for step by step guide and answers.

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1. Taylor needs to purchase a car. The car Taylor plans to purchase costs $10,000. Taylor has saved $2,000 to use as a down paym
Alexxandr [17]

Answer:

a. The amount Taylor will need to finance is $8,000

b. The amount Taylor pays as interest in one year is $400

Step-by-step explanation:

The given parameters of the financing for the car are;

The cost of the car Taylor plans to purchase, C = $10,000

The amount Taylor has saved to be used as down payment, S = $2,000

The interest rate of the credit Taylor is offered = 5%

The duration given for repayment of the loan = 5 years

a. To purchase the car, the amount Taylor will need to finance, 'P', is given as follows;

P = C - S

∴ P = $10,000 - $2,000 = $8,000

b. The amount of interest on the loan in one year, 'I', is given by the following formula;

I = \dfrac{P \times R \times T}{100}

Where;

I = The interest payed

P = The principal amount taken as loan = $8,000

R = The interest rate = 5% APR

T = The time period the interest is applied = 1 year

Plugging in the values, we get;

I = \dfrac{\$ \, 8,000 \times 5 \times 1}{100} = \$ \, 400

The interest Taylor will pay on the loan in one year, I = $4,00

7 0
3 years ago
I might have to kiss you if you answer this
SVEN [57.7K]
Hey can i get a kiss
4 0
3 years ago
Read 2 more answers
2+8+5+9+90=<br>3+45+111=​
Anastasy [175]

Answer:

1) 114

2) 159

Step-by-step explanation:

2+8+5+9+90 = 114

3+45+111 = 159

Hope this helps.

8 0
3 years ago
What is the value of "c" in the following quadratic? (Make sure the equation is in
garri49 [273]

               \rule{50}{1}\large\blue\textsf{\textbf{\underline{Given question:-}}}\rule{50}{1}

           <em>What is the value of c in the quadratic </em>\large\text{$x^2+28=-11x$}?

          \rule{50}{1}\large\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}

           Before starting to solve, you should notice something - the

quadratic is not in its standard form!

We can easily fix it by adding \large\textit{11x} on both sides:-

\large\text{$x^2+28-11x=0$}

We can switch the order of 28 and -11x:-

\large\text{$x^2-11x+28=0$}

  Now, the quadratic is in its standard form, so we can get down to

finding the value of "c".

Remember, the standard form of a quadratic looks like so:-

  •  \large\text{$ax^2+bx+c=0$}

Now we can just write our <u>quadratic</u> here:-

  • \large\text{$x^2-11x+28=0$}

Now, can you see what the value of "c" is?

An easy way to <u>remember</u> "c" in quadratics is:-

The "c" in quadratics is the constant.

   

Henceforth, we conclude that the value of "c" in the given quadratic is:-

 \Large\textbf{28}\Large\checkmark

<h3>         Good luck with your studies.</h3>

        \rule{50}{1}\smile\smile\smile\smile\smile\smile\rule{50}{1}    

5 0
2 years ago
Adam has a playhouse in his backyard that is shaped like a square prism with a squarepyramid for the roof. What is the volume of
Ainat [17]

Answer:

51 cubic feet

Step-by-step explanation:

This is basically a rectangular prism + pyramid.

Volume of rectangular prism = length * width * height

Volume of square pyramid = 1/3 * area of base * height

The rectangular prism's dimensions are 3 x 3 x 5 ,  so volume = 3*3*5 = 45

The pyramid's base is a square with side 3, so area of base = 3 * 3 = 9

The height is 2, we find the volume using the formula stated above as:

1/3 * 9 * 2 = 6

Volume of Playhouse = volume of rectangular prism + volume of pyramid

Volume of Playhouse = 45 + 6 = 51 cubic feet

5 0
3 years ago
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