Determine whether the members of the given set of vectors are linearly independent. if they are linearly dependent, find a linear relation among then. the vectors are written as row vectors to save space but may be considered as column vectors that is, the transposes of the given vectors may be used instead of the vectors themselves. x^(1) = (1, 1, 0), x^(2) = (0, 1, 1), x^(3) = (1, 0, 1) x^(1) = (2, 1, 0) x^(2) = (0, 1, 0), x^(3) = (-1, 2, 0) x^(1) = (1, 2, 2, 3), x^(2) = (-1, 0, 3, 1), x^(3) = (-1, 2, 0) x^(4) = (-3, t-13) x^(1) = (1, 2, -1, 0), x^(2) = (2, 3, 1, -1), x^(3) = (-1, 0, 2, 2), x^(4) = (3, -1, 1, 3) suppose that each of the vectors x^(1), x^(m) has n components, where n < m. x^(1), (m) are linearly dependent. in each of problems 13 and 14, determine whether the member of the given of vectors linearly independent for -infinity < t < infinity. if they are linearly dependent, find the linear among them. as in problems 7 through 11, the vectors are written as row vectors to save space x^(1) (t) = (e^-t, 2e^-t), x^(2) (t) = (e6-t, e^(-t), x^(3) (t) = (3e^-t, 0) x^(1) (t) = (2 sin t, sin t), x^(2) (t) = (sin t, 2 sin t)

2 x^2 -3x+p

sum of roots = 3/2

let other root be x

3+ x = 3/2

x= 3/2 - 3 = -3/2

product of roots = p/2

3× -3/2 = p/2

-9 = p

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i need a picture

step-by-step explanation:

1. perpendicular

2. parallel

3. perpendicular

the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

the root or roots of a polynomial are the values of the variable that makes the polynomial equal to 0. we can find the roots of a polynomial making the expression equal to 0 and then, isolating the variable (it it has just one variable).

for example, given the following polynomial:

the root or zero of the polynomial, can be found by making the expression equal to 0, and then, isolating the variable, so, finding the root we have:

therefore, we have that the root of the polynomial is equal to 2.

we must remember that the number of roots that a polynomial can have, will depend on the degree of the polynomial, a first degree polynomial have will have one single root, a second degree polynomial (quadratic expression) may have two roots and so.

hence the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

have a nice day!