1,953 Answered Questions for the topic linear algebra

Linear Algebra Math Algebra 1 Algebra 2

03/23/24

Linear Algebra NullSpace, Rank
Let A = (a1 a2 a3 a4 a5), where ai is the i-th column of A, for i = 1,..., 5. It is known thata1 = (1 -1 0 0), a3 = (-2 0 1 1), a5 = (-3 3 4 3).Suppose A is row equivalent to R = (1 2 -1 2 -1; 0 1... more
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Linear Algebra

03/23/24

In 2003, the price of a certain automobile was approximately $32,900 with a depreciation of $2,080 per year. After how many years will the car's value be $18,340?
Write an equation to model the problem. Let t represent the number of years after 2003. For example, the year 2005 would be represented by t = 2.I already have the number of years for part b, which... more
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Linear Algebra Math Calculus Prealgebra

03/22/24

Linear Algebra question
Find the shortest distance from the point P=(-3,-2,-3) to a point on the line given by 1: (x,y,z) = (-7t, 1t, 1t). Please help ASAP! Thanks!
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Linear Algebra Math Algebra 1 Algebra 2

03/22/24

Linear Algebra (Basis)
Given A^T * A = (3 4 0; 4 10 -3; 0 -3 3).(a) Solve the homogenous system Ax = 0. Explain how you derive your answer.(b) Suppose (A^T * A)^-1 * A^T = (3/5 -4/5 0 3/5 1/5; -1/5 3/5 0 -1/5 -2/5; -1/5... more
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Linear Algebra Math Algebra 1 Algebra 2

03/22/24

Linear Algebra Row/Col Spaces
Let T = { v1 = (2 1 1 3), v2 = (3 2 0 1), v3 = (1 0 2 5), v4 = (-1 -1 1 2) v5 = (3 2 0 0), v6 = (13 8 2 8 ) }(a) Find a linearly independent subset S of T such that span(S) = span(T).(b) Does T... more
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03/18/24

How do I solve this integral Calculus 2 question?
Here's the link to the question: https://ibb.co/b1k3dTH The integral is improper for two reasons: the interval [0,∞][0,∞] is infinite and the integrand has an infinite discontinuity at x=0.... more
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Linear Algebra Math Algebra 1 Algebra 2

03/18/24

Linear Algebra Basis/Subspaces Invertibility

Given A^T * A = (3 4 0; 4 10 -3; 0 -3 3).(a) Solve the homogenous system Ax = 0. Explain how you derive your answer.(b) Suppose (A^T * A)^-1 * A^T = (3/5 -4/5 0 3/5 1/5; -1/5 3/5 0 -1/5 -2/5; -1/5... more
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Linear Algebra Math Algebra 1 Algebra 2

03/18/24

Linear Algebra Subsets/Row/Column Spaces
Let T = { v1 = (2 1 1 3), v2 = (3 2 0 1), v3 = (1 0 2 5), v4 = (-1 -1 1 2) v5 = (3 2 0 0), v6 = (13 8 2 8 ) } (a) Find a linearly independent subset S of T such that span(S) = span(T).(b) Does T... more
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Linear Algebra Math Algebra 1 Algebra 2

03/18/24

Linear Algebra Subspaces / Basis
Let A = (a1 a2 a3 a4 a5), where ai is the i-th column of A, for i = 1,..., 5. It is known that a1 = (1 -1 0 0), a3 = (-2 0 1 1), a5 = (-3 3 4 3).Suppose A is row equivalent to R = (1 2 -1 2 -1; 0 1... more
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Linear Algebra Math Algebra 1 Algebra 2

03/17/24

Linear Algebra Subspaces
Let w = (1 1 2 -1), W = { u € R^4 | u • w = 2 } , and V = { u - (1 0 1 1) | for all u € W }.(a) Is W a subspace ? Explain your answer (b) Show that V is a subspace and that T = { (-1 1 0 0) , (-2 0... more
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03/14/24

Which of the following integrals represents the volume of the solid obtained by rotating the region bounded by the curves 𝑦=sin(𝑥) and 𝑦=0, with 0≤𝑥≤𝜋 about the line 𝑦=1?
I keep getting it wrong. Here's the link to the question: https://ibb.co/BNDJS8J
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Linear Algebra Calculus Physics Precalculus

03/11/24

Find the volume of the solid obtained by rotating the region enclosed by...
Here's the link to the question. Can you please show me how to solve it and what is the answer? https://ibb.co/hMMfpP6
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Linear Algebra Calculus Precalculus Sat Math

03/11/24

Find the volume of the solid obtained by rotating the region bounded by the curves.
Find the volume of the solid obtained by rotating the region bounded by the curves y=tan^2(x), x=pi/4, x=0, and y=0 about the x-axis. PLEASE HELP ASAP.
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Linear Algebra Algebra 1 Algebra 2

02/24/24

Slope and Linear Equations Tips
Slope and Linear Equations: Finding the slope of a line given two points or an equation. Writing the equation of a line given its slope and a point, or two points. Graphing linear equations in... more
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Linear Algebra

02/18/24

Solving a distance, rate, time problem using a system of linear equations
Two cyclists leave towns 96 kilometers apart at the same time and travel toward each other. One cyclist travels 10 kmh faster than the other. If they meet in 3 hours, what is the rate of each cyclist? more
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Linear Algebra Math Matlab

02/17/24

Linear Algebra/Matrices to solve Linear System
Consider the linear system with 4 unknown variables x1, x2, x3, x4 and 4 equations.x1 + x2 - bx3 + (b-a)x4 = b-2x1 + ax2 - bx3 = 12x1 + 2x2 + ax4 = 0x1 + x2 - bx3 = 0for some real numbers a, b =... more
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Linear Algebra

02/17/24

Inverse Transformation Linear Algebra
Find the inverse transformation if it exists. Your answers will contain y1,y2 and y3y1 = x1 + x2y2 = -2x1 + x2 -2x3y3 = 7x1 - 3x2 + 8x3x1 = x2 = x3 = Please help me solve this and show all steps... more
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Linear Algebra Math Algebra 1 Algebra 2

02/16/24

Linear Algebra Determinants
Let A = [(a-1) -2 2 -1 (a-3) 1 -1 -4 (a+2)] 3x3 matrix(a) For what values of a will the homogenous system Ax = 0 have infinitely many solutions ?(b) For each values of a found in (a) write down the... more
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Linear Algebra Math Algebra 1 Algebra 2

02/16/24

Linear Algebra Matrices / Determinant
R2-2R1 R3-3R1A ————>————> [1 0 2 0 2 a 0 0 b] 3x3 matrix.[1 0 2 0 2 a 0 0 b] <——<———<————<————R2R2 -5R3 R2-R3 R1+2R3(a) Determine the values of a and b such that A is singular(b)... more
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Linear Algebra Math Algebra 1 Algebra 2

02/15/24

Linear Algebra & Linear Systems
Consider the linear systemx1 + x2 - bx3 + (b-a)x4 = b-2x1 + ax2 - bx3 = 12x1 + 2x2 + ax4 = 0x1 + x2 -bx3 = 0for some real numbers a, b = R(a) Determine the values of a and b such that the system... more
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Linear Algebra Math

02/15/24

Linear Algebra & Linear Systems & Symmetric Matrices

Let A = [1 -1 0 0 1 1 1 0 -1] 3x3 matrix. Find all symmetric matrices B such that AB is a symmetric matrix. How do I do this question I know B is same as it’s transpose
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Linear Algebra Math

02/15/24

Linear algebra linear systems & matrices

Let A = [1 -1 0 0 1 1 1 0 -1] Find all symmetric matrices B such that AB is a symmetric matrix ?
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Linear Algebra Math Calculus Prealgebra

02/12/24

Determine the following elementary matrices and their inverses. URGENT
No one answered my question the other time I posted. I'm not sure why I'm getting this question wrong. I have one last attempt. Please help asap! Here's the link to part 1:... more
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02/10/24

Determine the Elementary Matrix (Linear Algebra)
I'm not sure why I'm getting this question wrong. I have one last attempt. Please help asap! Here's the link to part 1: https://ibb.co/mGkztbLAnd here's the link to part 2: https://ibb.co/z54SJ31
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Linear Algebra Math Calculus Sat Math

02/09/24

Solve for X (Linear Algebra)
I keep getting this question wrong and I have no idea how to do this. It would be really appreciated if you can help me. Here's the link to the example: https://ibb.co/pjTMyg2
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