1,102 Answered Questions for the topic linear algebra

Linear Algebra

15h

#### Find the area of the parallelogram that has the vectors as adjacent sides.

Find the area of the parallelogram that has the vectors as adjacent sides.u = (2, 0, −3), v = (−3, 0, 2)

Linear Algebra

1d

#### Let (in Description below) and (in Description below). Given that P diagonalizes A, then compute the matrix A^2517.

LetGiven that P diagonalizes A, then compute the matrix A2517.

1d

#### Linear Equation Word Problem (below)

The sum of Eric’s and Bob’s weights is 9 times the difference of their weights. The positive difference of their weights is also 240 pounds less than the sum. If Eric weighs less than Bob, find...
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Linear Algebra

2d

#### Word problem using elimination

The sum of the digits of a three-digit number is 16. The units digit is 2 more than the sum of the other two digits and the tens digit is 5 more than the hundreds digit. What is the number?

3d

#### Linear Equation Word Problem (below)

A plane traveled 1496 miles to Baltimore and back. The trip there was with the wind. It took 11 hours. The trip back was into the wind. The trip back took 17 hours. Find the speed of the plane in...
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Linear Algebra Math

4d

#### Find the inverse Laplace Transform of the function

Find the inverse Laplace Transform of:G(s) = (as+b) / (s^2+β^2)

Linear Algebra

4d

#### Linear algebra question

Use the function to find the image of v and the preimage of w.T(v1, v2, v3) = (4v2 − v1, 4v1 + 5v2), v = (3, −4, −1), w = (6, 18)

Linear Algebra

4d

#### Linear algebra question

Let T: R3 → R3 be a linear transformation such that T(1, 0, 0) = (−1, 2, 4), T(0, 1, 0) = (−2, 1, 3),and T(0, 0, 1) = (0, 2, −2). Find the indicated image. T(0, 1, −3)

Linear Algebra Algebra

4d

#### -4x+y=-5 8x-2y=10 solve by elimination

This is how I worked it:2(-4x+y=-5) = -8x+2y=-108x-2y=10-8x+2y=-10(the x and y cancels each other out, leaving 10 and -10, which are false, so I got no solution)But when I used a calculator, it...
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Linear Algebra Algebra

5d

#### -20y-10x=10 -8x-8-16y=0 use elimination to solve it.

For me, I somehow got "no solution" but I know the answer is "infinitely many", I just don't know how to get it. Please help. Thank you.

5d

#### Show that B is the inverse of A.

A = -1/2 -5/4 B = 8 5 1 2 -4 -2To show that B is the inverse of A, we need to show that AB = I = BA.AB = -4 + ___ -5/2 + ___ ...
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5d

#### Use an inverse matrix to solve (if possible) the system of linear equations. (If there is no solution, enter NO SOLUTION. If the system is dependent, set y = a and solve for x in terms of a.)

5/6x - y = -184/3x - 7/2y = -44(x,y) = _____

6d

#### Find the new quadratic form?

Classify the quadratic form below. Then make a change of variable, x=Py, that transforms the quadratic form into one with no cross-product terms. Write the new quadratic...
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6d

#### Find the new quadratic form

Classify the quadratic form below. Then make a change of variable, x=Py, that transforms the quadratic form into one with no cross-product term. Write the new quadratic form.2x21 + 8x1x2+2x22What...
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Linear Algebra

6d

#### Linear Algebra (Vector)

Determine whether or not the set of vectors identified is a subspace of:#1.R3 if U={vectors whose length does not exceed 1} , i.e., U= {(a, b, c): a² + b² + c² ≤1}

Linear Algebra

7d

#### Linear Algebra (Vector)

Tell whether or not W can be written as a linear combination of the vectors in S. If yes, find the values of a , b and c ∈ R.Problem #1.W(-4, 3, 5) and S = { (1, -1, -2), (5, -4, -7), (-3, 1, 0)}

Linear Algebra

7d

#### Linear Algebra (Vector)

Determine whether or not the set of vectors identified is a subspace of:#1. R3 if W is the set of all vectors of the form (x, y, 1) under the usual vector addition and scalar multiplication.

Linear Algebra

7d

#### Linear Algebra: Orthogonal basis additon

Let W = span([-1,3,0], [2,2,1]), and v = [5,1,2]. Write down v as sum of two vectors v1 in W and v2 in W complement

Linear Algebra Linear Equations

13d

#### how do I solve this? 2 (x+3) > 6(x-1)

Linear Algebra

14d

#### Need help with this proof

Let {~v1, · · · ~vm} ⊂ Rn be a linearly independent set. Let L ∈ Rm×n . Prove that, if null(L) = {~0}, then {L~v1, · · · L~vm} ⊂ Rm is a linearly independent set.

Linear Algebra

15d

#### Given an example of a set S with two binary operations such that S is closed under those binary operations but is not a vector space with respect to them.

Linear Algebra

15d

#### Determine whether the set {(2, 0, 1), (1, 1, 0), (0, 0, 1)} spans R3. Is this set linear independent?

Determine whether the set {(2, 0, 1), (1, 1, 0), (0, 0, 1)} spans . Is this set linear independent?

Linear Algebra

15d

#### See subsets in Description below, graph these subsets separately and determine whether either of them is a subspace of V.

Consider as a vector space with the standard operations, and the subsets W1:={(x, y) ∈ V | xy = 0} and W2:={(x, y) ∈ V | x + y = 0} of V. Graph these subsets separately and determine whether...
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