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Linear Algebra Math

03/22/20

When asked to find ALL unit vectors perpendicular to the plane of the triangle ABC (R3), how many results should I get?

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Linear Algebra

03/19/20

Find all unit vectors in R^2 which are orthogonal to (−3, 1).

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Linear Algebra

03/19/20

You have 10 people in company X, 10 people in company Y and 10 people in company Z. Next year, you have 7 people in company X, 3 people in company Y and 20 people in company Z.

Knowing that 5 people left Z and 15 people joined Z. How many people left X ? Is it solvable ? If no why ?

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Linear Algebra Math Precalculus Trigonometry

03/16/20

A wheel completes 2.4 revolutions in 3 seconds. What is the angular velocity of the wheel in radians per minute? As simplified fraction.

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Linear Algebra Proofs Vectors

03/12/20

Prove that the set {v + w, v + x, w − x} is always linearly dependent

Let v, w, x ∈ Rn be vectors. Prove that the set {v + w, v + x, w − x} is always linearly dependent (even if {v, w, x} is linearly independent).

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Linear Algebra Proofs Vectors

03/12/20

If the set {v, w, x} is linearly independent, so is {v+w, v+x, w+x}

Let v, w, x ∈ Rn be vectors. Prove that if the set of vectors {v, w, x} is linearly independent, then so is the set {v + w, v + x, w + x}.

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Linear Algebra Vectors Spans

03/12/20

What is the value of t that would result in span((0, 1, −1),(1, 2, 1),(t, −1, 4))

Determine which values of t ∈ R result in span((0, 1, −1),(1, 2, 1),(t, −1, 4)) being(i) a line(ii) a planeor (iii) all of R3

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Linear Algebra Vectors Trueorfalse Spans

03/12/20

Vectors and Span: True or False

(a) The inverse of a rotation matrix [R^θ] is [R^−θ].(b) If the vectors v1, v2, . . ., v3 are such that no two of these vectors are scalar multiples of each other then they must form a linearly... more

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Linear Algebra Vectors Spans

03/12/20

Vector Sets and Span

For each set of vectors, determine whether their span is {0}, a line, a plane, all of R2, or all of R3.A) {(0, 0), (3, 7)}B) {(1, 2),(3, 4)}C) {(0, 1, −2),(2, 1, 0),(1, 1, −1)}

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Linear Algebra Vectors Subspaces

03/12/20

Determine which of the following vector sets are and aren't in subspaces

A) The graph of the function y = 4x - 2 in R2B) The graph of the function y = cos(x) - 1 in R2C) The set of solutions (x, y, z) in the equation 3x - 4y + 2z = 0D) The set {(x, y) ∈ R2 : x ≥ 0 and y... more

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Linear Algebra Matrix Inverse

03/04/20

Inverse Matrix Question

Suppose X and Y are both invertible matrices, and W is a block matrix: W = [ X Z ] [ 0 Y ] Show that W is invertible, and its inverse is:[ X-1 -X-1ZY-1 ] = W-1[ 0 Y -1 ]

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Linear Algebra Matrix Inverse

03/04/20

Finding the Inverse of a Matrix

Suppose x ∈ R.Find the inverse of the following matrix: A = [ 1 1 1 ] [ 0 1 1 ] [ x 0 1 ]

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Linear Algebra Matrix Row Equivalent

03/04/20

Row Equivalent Matrices

Determine whether or not the two matrices are row equivalent: matrix one: [ 1 2 1 ] [ 1 -1 1 ] [ 2 1 2 ] matrix two: [ 0 -2 0 ] [ 1 1 1 ] [ 1 0 1 ]

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Linear Algebra Matrix Inverse Inverse Matrices

03/04/20

Inverse Matrices

Find the inverse of the following matrices if it exists: 1. [ 1 -2 ] [ -3 5 ] 2. [ -2 0 2 ] [ 4 -2 -1 ] [ 0 2 -2 ]

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Linear Algebra Reduced Row Echelon Form

03/04/20

Reduced Row Echelon Form

Compute the reduced row echelon form of each of the follow matrices: (a) [ 2 1 ] [ -3 -2 ] (b) [ 3 -3 -3 ] [ 2 -3 -4 ] (c) [ 2 2 ] [ 3 0 ] [ 1 0 ] (d) [ 1 -2 0 ] [ -2 4 -1 ] [ 2 -4 -1 ]

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Linear Algebra

03/03/20

If u = (1, 4, 2), v = (3, 5, 6) and w = (2, 2, 3) are three vectors in R3, then (u + v) . 5(u - w) is_____

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Linear Algebra

03/03/20

If v= (2, 4, 4) and ‖ k v ‖ = 24, then the value of k is:

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Linear Algebra

03/03/20

Linear Equations in 2 variables

Hi, this is the question that has me stumped the most. Solve for X and Y1/2x + 1/1 = 1y = 15/21x +1/9y = 67/9I believe the answer has no solution but I wanted to hear from you all.

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Linear Algebra

03/02/20

Hello, i have a question. Suppose A is a 3*2 matrix, B is a p*q matrix and C is a 5*4 matrix. if ABC is defined then p and q is :1) p=2 and q=5 2) p=2 and q=43) p=3 and q=44) p=3 and q=5I... more

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Linear Algebra Algebra 2

02/25/20

simultaneous equations

Equation 1: 3x + y - 2z = -7Equation 2: -az = x + y + 6To form the third equation use the digits 2,2,1,9 will be the coefficients of x,y,z, and the constant term in that order, given that the... more

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When asked to find ALL unit vectors perpendicular to the plane of the triangle ABC (R3), how many results should I get?

Find all unit vectors in R^2 which are orthogonal to (−3, 1).

You have 10 people in company X, 10 people in company Y and 10 people in company Z. Next year, you have 7 people in company X, 3 people in company Y and 20 people in company Z.

A wheel completes 2.4 revolutions in 3 seconds. What is the angular velocity of the wheel in radians per minute? As simplified fraction.

Prove that the set {v + w, v + x, w − x} is always linearly dependent

If the set {v, w, x} is linearly independent, so is {v+w, v+x, w+x}

What is the value of t that would result in span((0, 1, −1),(1, 2, 1),(t, −1, 4))

Vectors and Span: True or False

Vector Sets and Span

Determine which of the following vector sets are and aren't in subspaces

Inverse Matrix Question

Finding the Inverse of a Matrix

Row Equivalent Matrices

Inverse Matrices

Reduced Row Echelon Form

If u = (1, 4, 2), v = (3, 5, 6) and w = (2, 2, 3) are three vectors in R3, then (u + v) . 5(u - w) is_____

If v= (2, 4, 4) and ‖ k v ‖ = 24, then the value of k is:

Linear Equations in 2 variables

A=a+b+c/3 to solve for b in this formula, the first step is to

please help me I need to pass

Systems of Linear Equations Question

Linear Systems Question

Linear Transformation Question

My question is about matrices.

simultaneous equations

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