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kirill115 [55]
2 years ago
11

True or False?

Mathematics
1 answer:
stira [4]2 years ago
6 0

In a situation where x is a nontrivial solution, then every entry in x should not be nonzero. Therefore, it's false.

<h3>What is a nontrivial solution?</h3>

A nontrivial solution simply means a system of equation where the determinant of the coefficient is zero. When x is a nontrivial solution of Ax = 0, then at least one entry should be nonzero.

The equation x= x2u + x3v, with x2 and x3 free (and neither u nor v a multiple of the other), describes a plane through the origin. This is true. Since they're free variables, the space span has dimensions and this spans through the origin.

The equation Ax = b is homogeneous if the zero vector is a solution. Since x = 0 is a solution. Therefore, Ax = b. Hence, b = 0.

The effect of adding p to a vector is to move the vector in a direction parallel to p. It should be noted that adding p to a vector moves it in a direction that's parallel.

Learn more about nontrivial solution on:

brainly.com/question/15120462

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NNADVOKAT [17]
Just multiply all the values together but first, remember 3 YARDS = ONE FOOT
25 x 60 x 7.5 because the formula is L x W x H
The volume is 11250 feet cubed
Hope this helps!
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3 years ago
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Find an expression for a cubic function f if f(4) = 96 and f(-4) = f(0) = f(5) = 0. Part 1 of 4 A cubic function generally has t
Bezzdna [24]

Given a polynomial p(x) and a point x_0, we have that

p(x_0) = 0 \iff (x-x_0) \text{\ divides\ } p(x)

We know that our cubic function is zero at -4, 0 and 5, which means that our polynomial is a multiple of

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Since this is already a cubic polynomial (it's the product of 3 polynomials with degree one), we can only adjust a multiplicative factor: our function must be

f(x) = ax(x+4)(x-5),\quad a \in \mathbb{R}

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What are the distances between the two points (2,-4) , (2,6)
kotegsom [21]

Answer:

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Step-by-step explanation:

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A bag contains yellow marbles and red marbles, 23 in total. The number of yellow marbles is 4 less than 2 times the number of re
Orlov [11]
First let’s express the total number of marbles as such:
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now let’s express the relation of yellow marbles to red marbles:
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since we figured out what y equals, we can plug into the first equation we created:
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now solve for r:
2r-4+r=23
combine like terms
3r-4=23
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divide both side by 3
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plug r back into first equation and solve for y:
y+9=23
subtract 9
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there are 9 red marbles and 14 yellow marbles!


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Answer:

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