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kozerog [31]
3 years ago
8

Determine whether the given set S is a subspace of the vector space V.A. V is the vector space of all real-valued functions defi

ned on the interval (−[infinity],[infinity]), and S is the subset of V consisting of those functions satisfying f(0)=0.B. V=Mn(R), and S is the subset of all nonsingular matrices.C. V=C3(I), and S is the subset of V consisting of those functions satisfying the differential equation y′′′+7y=x2.D. V=C5(I), and S is the subset of V consisting of those functions satisfying the differential equation y(5)=0.E. V=Pn, and S is the subset of Pn consisting of those polynomials satisfying p(0)=0.F. V=Mn(R), and S is the subset of all upper triangular matrices.G. V=P2, and S is the subset of P2 consisting of all polynomials of the form p(x)=x2+c.

Mathematics
1 answer:
Nataly [62]3 years ago
5 0

Answer:

Check the explanation

Step-by-step explanation:

kindly check the attached image below to Determine whether the given set S is a subspace of the vector space <u><em>(which is contained within a different vector space. So all the subspace is a kind of vector space in their own way, although it is also defined relative to some of the other larger vector space. The linear subspace is more often than not simply called a subspace whenever the situation serves to differentiate it from other types of subspaces.)</em></u> V.A

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Month 5 is when it will be at $100

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13/10

Step-by-step explanation:

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Part A: Determine if the expression is one of our special products. If so, identify it by its general form:
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Answer:

1.

Part A: Yes, it is (a - b)².

Part B: a² - 2ab + b² => (x - 6)² = x² - 12x + 36.

Part C: x² - 12x + 36.

2.

Part A: Not a special product.

Part B: Binomial distribution => (x + 8)(x + 1) = x² + 9x + 8.

Part C: x² + 9x + 8.

3.

Part A: Yes, it is (a + b)²

Part B: a² + 2ab + b² => (3x + 2)² = 9x² + 12x + 4.

Part C: 9x² + 12x + 4.

4.

Part A: Yes, it is (a + b)(a - b), a difference of squares.

Part B: a² - b² => 4x² - 49

Part C: 4x² - 49

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The list of equations is shown in the picture which equation has No Solution, One Solution, and Infinitely Many Solutions.

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have given a linear equation in one variable.

\rm \dfrac{1}{2}y + 3.2y = 20

After solving:

y = 5.40   (one solution)

\rm \dfrac{15}{2}+ 2z -\dfrac{1}{4}=4z+\dfrac{29}{4}  -2z

After solving:

\rm \dfrac{15}{2} -\dfrac{1}{4}=\dfrac{29}{4}

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Thus, the list of equations is shown in the picture which equation has No Solution, One Solution, and Infinitely Many Solutions.

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