1,975 Answered Questions for the topic linear algebra

Linear Algebra Math Algebra 1 Algebra 2

01/04/21

Functions math help.
f(5) = 15 and g(x) = f(x+2)-5. Find g(3).
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Linear Algebra

01/01/21

Rank , Kernel and Other Properties ofa Linear Transformation
Determine rank and kernel of L : P2 --> M2*2(R) given by,L(ax^2 + bx + c) = A, where A is 2*2 matrix whose elements are as follows : A11 = A12 = a & A21 = A22 = c
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Linear Algebra

12/27/20

Linear Algebra - Linear Transformations
Consider the basis S = {v1, v2, v3} for R3, where v1 = (1, 2, 1); v2 = (2, 9, 0), and v3 = (3, 3, 4) and let T : R3-->R2 be the linear transformation for whichT(v1) = (1, 0), T(v2) = (1, 1);... more
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Linear Algebra Differential Equations

12/26/20

What is the general form of the matrix exponential of a 2x2 non-diagonalizable matrix?
Include the following matrix and prove its n-th power formula, given here too, in your answer: ⌈ λ 1 ⌉ ⌈ λn n*λn-1 ⌉D = | | and Dn = | | , ... more
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Linear Algebra Civil Engineering

12/25/20

linear algebra and civil engineering
I have a term project. I should do research about ''how linear algebra can use in civil engineering'' Can you please suggest me resource about this topic.
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Linear Algebra Math Algebra Maths

12/25/20

Kernel & Image of a Linear Transformation
Let (M2×2(R),+, ·/R) be the matrix vector space. Let T : M2×2(R) --> M2×2(R) , be the mapping defined by,T(A)= AT − A for all A belongs to M2×2(R).(i) Show that T is linear.(ii) Determine... more
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Linear Algebra Algebra Maths Mathematics

12/24/20

Please Help me with this Linear Algebra Maths questions
Q.1 Determine the scalars c for which A − c x Identity Matrix [2x2] is not invertible,where A = [ 4 6 −1 −3 ]Q7. Let S be the parallelogram determined by the vectors b1 = [ 2 and... more
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Linear Algebra Math Algebra Maths

12/23/20

Linear Transformation ( T : R2 --> R4)
Let T : R2 --> R4 be a linear transformation such that,T[ 1 1]^T = [ -1 1 2 3]^T , T[-1 1]^T = [2 0 2 3]^TFind T[5 3]^T
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Linear Algebra Differential Equations

12/19/20

Find the general solution of the ODE x^2 y" + xy' + (x^2 - 1/4 )y = x^3/2 cos x if sinx/√ x and cosx/√x are two independent solutions of the corresponding homogeneous problem for x > 0.
Use method of Variation of parameters
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Linear Algebra Autodesk Maya

12/18/20

Write the general solution of xy' + y + xe^-xy = 0
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Linear Algebra Maths

12/18/20

gauss jordan method
Using Gauss-Jordan method to find the solution of the following system of equations,  y + z = 4, 3x + 6y - 3z = 3, -2x - 3y + 7z = 10,
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Linear Algebra

12/18/20

Slope 0 y intercept (4,-5)
Tere is a line that includes the point (4,-5) and has a slope of 0. What is it's equation in slope intercept form?
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Linear Algebra

12/17/20

Find the value of r so the line that passes through each pair of points has the given slope. Point 1: (−2,r) Point 2: (6,7) m=12
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Linear Algebra

12/17/20

Let ( V , ⟨ , ⟩ ) be a finite dimensional inner product space over C, and let T : V → V be a linear operator. Show that the following two conditions are equivalent:
Let ( V , ⟨ , ⟩ ) be a finite dimensional inner product space over C, and let T : V → V be a linear operator. Show that the following two conditions are equivalent:1)  is invertible and   2)    for... more
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Linear Algebra Math Algebra 2 Algebra

12/16/20

Passing through (3,-5) and perpendicular to y= −23 (x−4) +1
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Linear Algebra

12/16/20

What is 27 less than four times a number is equal to the number? What is the number?
simple algebra =, but I really am struggling with it.
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Linear Algebra

12/16/20

linear word problem
Two numbers differ by 7. The larger number is 11 less than twice the smaller number. What are the two numbers?
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12/16/20

Please, help-me with this Linear Algebra question
If T:R4→R4 is an linear transformation and pT(t) a characteristic polynomial of T, which of these options T is diagonalizablea) pT(t) = t^4 - 1 b) pT(t) = t^3(t + 2) c) pT(t) = t^2(t^2 - 1) d)... more
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Linear Algebra

12/15/20

𝑢 and 𝑣 are two vectors such that ‖𝑢+𝑣‖=5 and ‖𝑢−𝑣‖=1. Find 𝑢⋅𝑣.
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Linear Algebra Math Algebra 2

12/15/20

How would you answer this? Regarding the Quadratic Formula
What can the inside of the square root tell you about your answer? The inside of the square root is known as the discriminant. 
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Linear Algebra Math Maths Mathematics

12/12/20

Linear Algebra : Spanning Sets
It is given that the vectors v1=[ 1 0]^T and v2 = [ 0 1]^T span the full two-dimensional space R^2(R - set of real numbers)Also it is given that the vectors v1=[1 0]^T , v2 = [0 1]^T and v3 = [4 ... more
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Linear Algebra Calculus Trigonometry

12/10/20

kindly solve this
You know you have an income, but are you meeting expenses? You earn 20 dollars per hour working a variable number of hours each month, and you typically receive a 1200 dollar IRS refund each year.... more
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Linear Algebra

12/10/20

In a 3×3 matrix 𝐴, the sum of the elements in each row is 2020. Show that 2020 is an eigenvalue of 𝐴.
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Linear Algebra

12/10/20

If 𝜆 is an eigenvalue for 𝐴 and 𝐴3=0 show that 𝜆=0
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Linear Algebra Math Algebra 1 Mathematics

12/08/20

I need help to solve this Linear Algebra's question. Can any one help me?
Q.6 The reduced row echelon form of a matrix A is:R = [1 2 0 −1 0 0 1 1 0 0 0 0]Determine A, given that the first and third columns of A area1 = [1 2 1]and a3 = [2 ... more
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