I need an equation that includes the slope of m=2 and y-intercept of (0,0).
I need an equation that includes the slope of m=2 and y-intercept of (0,0).
there are two red jars of marbles and one jar of blue marbles. Jars of the same color of marbles contain the same number of marbles in them. there are 35 total marbles. The difference...
Im not to sure how to do this problem. I think it has to do with fields, but not sure. the question asks express 1/(4+4P^1/3 + 5P^2/3) in the form of x+yP^1/3 +...
Given vectors u, a, v, and b as defined below, let T : R2 → R2 be a linear transformation that maps the vector u to the vector a and the vector v to the vector b. Use the linearity of T to find the...
Given the sizes of two matrices A and B, determine the sizes of the product AB and the product BA, if the products are defined. Worth 8 points. (a) Ais4×4andBis4×4. (b) Ais2×1andBis1×1. (c)...
Given the matrix A and the vector b below, define the transformation T : R3 → R3 by T (x) = Ax. Determine whether or not b is in the range of T. If so, find a vector x such that T(x) = b. ...
No additional details, the question is a true/false question.
Determine whether or not the columns of the following matrix are linearly independent. ?−2 1 4? ?4 0 −4? 2 7 &nbs...
For what values of h are the following vectors linearly independent? ? 1 ? ?−4? ?−6? and ?24? 1 ...
Consider the following matrices. A= -3 1 and B=0 4 0 2 -1 6 (a) Find -2A+B (b)...
Given A and b as defined below, write the general solution of Ax = b in parametric vector form. 2 -5 3 -1 A...
10. For v1, v2, and v3 as defined below, determine whether or not the set {v1, v2, v3} is linearly independent. 1 -3...
If p(3x) = x2 and p(2x) = x, is it possible that p is a linear function from the polynomials to the polynomials? Explain your answer. (Hint: Fractions are scalors too)
For any a, x, y ∈ R define x⊕y = (x3+y3)1/3 and a⊗x = ³√ax. Show that a⊗(x⊕y) = (a⊗x)⊕(a⊗y).
Determine whether or not the following system is consistent. If so, find the general solution. ? x1 − x2 + 3x3 = −9 ?−5x1 + 5x2 − 15x3 = −2...
2. Given the following augmented matrix for a system of equations, determine whether or not the system is consistent. If so, find the general solution. ? 1 4 −2...
Find the volume of a pyramid given its height is 138.8m and its base is 230.4m along the side use the formula: | x1 ...
Many important techniques in fields such as CT and MR imaging in medicine, nondestructive testing and scientific visualization are based on trying to recover a matrix from its projections...
Please give a specific type of problem where linear algebra techniques are required to solve the problem....
1. If A has only real entries, then all of the eigenvalues of A are real numbers. 2. There could be eigenvalues for A for which there is only 1 associates eigenvectors. 3. There could be eigenvalues...