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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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Find the length of the chord made by 3x2 - y2 = 3 and y + x – 5 = 0.
MArishka [77]

Answer:

The correct answer is "9√2 units".

Step-by-step explanation:

The given equations are:

⇒ 3x^2-y^2=3...(equation 1)

⇒ y+x-5=0...(equation 2)

According to the 2nd equation, we get

⇒ y+x-5=0

⇒              y=5-x

On substituting the value of "y" in the 1st equation, we get

⇒  3x^2-y^2=3

     3x^2-(5-x)^2=3

     3x^2-(25+x^2-10x)=3

     2x^2+10x-28=0

On taking common, we get

     x^2+5x-14=0

On applying factorization, we get

     x^2+7x-2x-14=0

   x(x+7)-2(x+7)=0

           (x+7)(x-2)=0

                        x+7=0

                              x=-7

or,

                         x-2=0

                                x=2

Now,

The points are:

(-7, 12) = (x₁, y₁)

(2, 3) = (x₂, y₂)

By using the distance formula, the length of chord will be:

= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

On substituting the values in the above formula, we get

= \sqrt{(2-(-7))^2+(3-12)^2}

= \sqrt{(9)^2+(-9)^2}

= \sqrt{81+81}

= 9 \sqrt{2} units

8 0
3 years ago
Write an exponential expression showing organism B’d increase in population over the same 8 days
Bogdan [553]

Answer:

the answer is 5^2

Step-by-step explanation:

4 0
3 years ago
Find the volume of the rectangular prism. Write your answer as a fraction.
suter [353]

Answer:

V = 8/125 cubic units

Step-by-step explanation:

This prism is actually a cube of side length 2/5.

The volume of a cube of side length s is V = s^3.

Here, the volume of the cube (rectangular prism) is V = (2/5)^3, or

V = 8/125 cubic units

8 0
3 years ago
What is the initial value of the equation shown?
Ksju [112]

Answer:

Y = 2

Step-by-step explanation:

if you were looking for y's value

3 0
2 years ago
If -2x+xy=30 and y=8,then what is the value of x?
Dafna1 [17]
-2x + xy = 30.....when y = 8

-2x + 8x = 30
6x = 30
x = 30/6
x = 5 <==
3 0
3 years ago
Read 2 more answers
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