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Keith_Richards [23]

3 years ago

14

The null space for the matrix is spanned by the vector:_______

1 answer:

mafiozo [28]3 years ago

8 0

Answer:

True

Step-by-step explanation:

The null space of matrix is set of all solutions to matrix. The linearly independent vectors forms subset which are spanned and forms the null space. The null space of vector can be found by reducing its echelon. The non zero rows formed are the null spaces of matrix.

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Let f be the function given by f(x)= (x-1)(x^2-4)/x^2-a. For what positive values of a is f continuous for all real numbers x?

9966 [12]

Answer:

a =1 and a=4.

Step-by-step explanation:

The function is

$f(x)=\frac{(x-1)(x^2-4)}{x^2-a}$

If we want f(x) to be continuous the denominator needs to be different to 0, otherwise f(x) will be indeterminate.

Now, for a a positive real we have that $x=\sqrt{a}$ will annulate the denominator, i.e

$(\sqrt{a})^2-a = a-a = 0$ . But, if a = 1 we have:

$f(x)=\frac{(x-1)(x^2-4)}{x^2-1} = \frac{(x-1)(x^2-4)}{(x-1)(x+1)}=\frac{(x^2-4)}{x+1}$

so, the value $x=\sqrt{a} = \sqrt{1} = 1$ won't annulate the denominator.

Now, for a = 4 we have:

$f(x)=\frac{(x-1)(x^2-4)}{x^2-4} = x-1$

so, the value $x=\sqrt{a} = \sqrt{4} = 2$ won't annulate the denominator.

In conclusion, for a=1 or a=1, the function will be continuos for all real numbers, since the denominator will never be 0.

4 0

3 years ago

4(7-x)+5x<-3<br><br> Please help

Sedbober [7]

Answer:

x<−31

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Find the values of x and y.

Vesna [10]

Answer:

1500

Step-by-step explanation:

you multiply 30x50

6 0

3 years ago

Given the following function, find f(-2), f(0), and f(1).<br> f(x) = 5x +5<br><br> f(-2) =

Finger [1]

Answer:

f(-2) = -5

f(0) = 5

f(1) = 10

Step-by-step explanation:

f(-2) = 5(-2) + 5 → -10 + 5 = -5

f(0) = 5(0) + 5 → 0 + 5 = 5

f(1) = 5(1) + 5 → 5 + 5 = 10

4 0

2 years ago

Read 2 more answers

Perez Corporation has the following financial data for the years 20X1 and 20X2: 20X1 20X2 Sales $ 3,472,500 $ 4,462,500 Cost of

Artyom0805 [142]

Answer: a) For 20X1 = 7.50; 20X2= 7.50

b) For 20X1 = 5.50; 20X2= 6.00

Step-by-step explanation:

Explanation is attached.

Give me brainliest, thanks

5 0

3 years ago