1,977 Answered Questions for the topic linear algebra

Linear Algebra Math Sat Math

02/04/20

What are the length and width of a rectangular traffic sign if the length exceeds the width by 10 inches and the perimeter is 156 ​inches?

Kind of stuck dont know how to solve this?
Linear Algebra

02/04/20

whats the length and width?

The length of a rectangle is 77 ft longer than twice the width. If the perimeter is 9292 ​ft, find the length and width of the rectangle.
Linear Algebra

01/31/20

Let u4 be a vector that is not a linear combination of {u1,u2,u3,}.

Select the best statement.A) span{u1, u2, u3} = span{u1, u2, u3, u4}B) There is no obvious relationship between span{u1, u2, u3} and span{u1, u2, u3, u4}C) span{u1, u2, u3} is a proper subset of... more

01/30/20

Linear Transformation and Standard Matrix

Let T: R2-> R2 be the linear transformation with the property: T(1, 0) = (4, -1) and T(2, 1) = (6, 1)Find [T], the standard matrix of T

01/30/20

True or False: Linear Transformation & Matrix

Determine which are true and which are false:A) If there is a path of lenght 2 between two specific vertices in an undirected graph, then there must be a path of lenght 3 between those two... more

01/30/20

Standard Matrices of Linear Transformations

Find the standard matrix of the linear transformations T that act as follows:(a) T(x, y) = (-4x + 6y, -x - 5y)(b) T(x y,) = (-2x - y, 2x + 3y, -4x + y)
Linear Algebra Linear Transformation

01/30/20

Linear Transformation Questions

Suppose that T : R2 -> R2 is a linear transformation satisfying T(e1) = (5, 4) and T(e2) = (3, -2). Compute the following:(a) T(2, 0)(b) T(1, 1)(c) T(2, -3)
Linear Algebra

01/29/20

1.25(x-4)=5+25 solve show all work and check

Linear Algebra Matrix

01/24/20

Matrix Problem Questions

The following list describes the flight routes between the cities:H is connected to T, HX, and MN.T is connected H, SJ, HX, MN, and ML.ML is connected to T, SJ, HX, and MN.SJ is connected to T, and... more
Linear Algebra Angles Radians Vectors

01/18/20

Vector Angles in Radians

Compute the angle in radians between each of the following vectors:a) v = (-2, -2) and w = (2, -2)b) v = (5, 0, 5) and w = (2, 2, 0)c) v = (3, 3, 3, 3) and w = (0, 0, -1, -1)
Linear Algebra Rectangle Vectors

01/18/20

Vector Question

A rectangle R3 has three of its corners at the points (3,1,1), (2,3,4) and (1,1,2). What are the coordinates of its fourth corner?
Linear Algebra Linear Equations

01/16/20

if 2w -1 =2 what is the value of w(expontent2) -1

Linear Algebra Proof Vector

01/15/20

Vector Proof Question

Suppose v and w are vectors in Rn . Show that || v − w || ≥ || v || − || w ||
Linear Algebra True Or False Vectors

01/15/20

Vectors: True or False Questions

Determine which of the following statements are true and which are false.(a) There exist vectors v, w ∈ R3 such that ||v|| = 3, ||w|| = 3, and ||v + w|| = 7.(b) There exist vectors v, w ∈ R2 such... more
Linear Algebra Vectors

01/08/20

Vectors: Solve the following equations for the vector x ∈ ℝ2

x ∈ ℝ2(a) −2x + (0, −1) = (−2, 1) (b) (−4, 0) − x = (1, −1) − 2x (c) 2(x + 2(x + 2x)) = 5(x + 5(x + 5x)
Linear Algebra True Or False Vectors

01/08/20

Vectors: Determine which of the following statements are true and which are false.

(a) For vectors v, w, z ∈ ℝn , if v + w = v + z then w = z. (b) The vector (3, 2, 1) is a linear combination of the vectors (1, 1, 1) and (1, 1, 0). (c) For vectors v, w, z ∈ ℝn, if v · w = v · z,... more
Linear Algebra Vectors Parallelogram

01/08/20

Vector Parallelogram Question

If a parallelogram has diagonals described by the vectors x = (5, 4) and y = (3, −2), what are the sides v and w of that parallelogram?
Linear Algebra Linear Equations

01/08/20

Intersection of 5x+2y=43 and -6x+3y=-30

Linear Algebra

01/03/20

Find the angle between vectors u = [3,0] and v= [-1,1].

I found the following solution: cos⁡θ=(u⋅v) /‖u‖‖v‖= (3⋅(-1) +0.1) / (√ (3^2+0^2) ⋅√((-1) ^2+1^2)) =-3/ (√9 √2). However, the correct solution is -1/√2. What did I wrong? How do they find this... more

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