Linear Algebra Done Right: Solutions and Examples for Success

College
Algebra
Linear algebra

What is the angle between <1,3,−8> and <4,1,5>

Aubrey Hendricks 2022-01-21

What is the cross product of [3,1,-4] and [1,1,18]

maryam.waleed2020 2022-01-20

If a student selects true or false at random on an examination, assuming independence among answers, determine the probability that: (a) The first correct answer is that of question 3. (b) At most three questions must be answered to obtain the first correct answer.

Fallbasiss4 2022-01-20

Do all linear transformations have a matrix representation? If so, what theorem proves this?? If not, give an example that contradicts the statement.

Connor Randall 2022-01-20

Two welders worked a total of 47 h on a project. One welder made $37/h, while the other made $39/h. If the gross earnings of the two welders was $1781 for the job, how many hours did each welder work? Using row- echron matrix.

Emmy Combs 2022-01-20

Matrix of singular transformation
$A = (0, 1)$ to $A^{'} = (0, 0), B = (2, 0)$ to $B^{'} = (0, 1)$ and $C = (2, 1)$ to $C^{'} = (0, 2)$
find the matrix representation r?

Emerson Barnes 2022-01-20

Find matrix of linear transformation
A linear transformation
$T : R^{2} \to R^{2}$
is given by
$T (i) = i + j$
$T (j) = 2 i - j$

Given a nonhomogeneous system of linear equations, if the system is underdetermined, what are the possibilities as to the number of solutions? Explain.

) i) In a group of 100 people, each person picks a number from 97 to 115. What is the minimum number of people you need to be sure two of them have the same number?

Since $\sqrt{2} \approx 1 + \frac{1}{1 + 1 + \frac{1}{1 + 1 + \frac{1}{1 + \sqrt{2}}}}$ I thought i could do $\frac{r_{n + 1}}{s_{n + 1}} = 1 + \frac{1}{1 + 1 + \frac{1}{1 + 1 + \frac{1}{1 + \frac{r_{n}}{s_{n}}}}}$ with the following piece of code :

ite = 8
int r = 1;
int s = 1;
int R = 0;
for (int i=0,i<ite,1){
   R = 3r+4s;
   s=2r+3s;
   r=R
}
int result = r/s;
System.out.println(result);

But it's not exactly the code one would get using picard's iteration method, so my answer does not fit the criteria. What am-I doing wrong?

If one does not know the answer but knows how to visualise picard's method for calculating sqrt(2) on a graph that would already help me a lot.

Thanks in advance

3/4x+2=9/10 No decimals

The exponential function f(x) = 1145e 0.0325x models the gray wolf population of the Western Great Lakes, f(x), x years after 1978. Project the gray wolf population of the Western Great Lakes, rounded to the nearest whole number, in 2017.

The top view of a circular table shown on the right has a radius of 120cm.find the area of the smaller segment of the table (shaded region) determined by 60° arc

Kathleen Rausch 2022-01-07

Let u and v be distinct vectors of a vector space V. Show that if {u, v} is a basis for V and a and b are nonzero scalars, then both {u+v, au} and {au, bv} are also bases for V.

Michael Maggard 2022-01-07

Write formulas for the unit normal and binormal vectors of a smooth space curve r(t)

b2sonicxh 2022-01-07

Let V, W, and Z be vector spaces, and let $T : V \to W$ and $U : W \to Z$ be linear.
If U and T are one-to-one and onto, prove that UT is also

zakinutuzi 2022-01-07

Let T and U be nonzero linear transformations from V into W, and let V and W be vector spaces. Show that T, U is a linearly independent subset of L if R(T)

Tara Alvarado 2022-01-07

True or False:
4. A vector is a linear combination if u can be written as a sum of scalar multiples of those vectors
5. If $u, v \in V$ , then $u - v = - u$ .
6. The objects in a vector space are called vectors.

Jason Yuhas 2022-01-07

Label the following statements as being true or false.
(a) If V is a vector space and W is a subset of V that is a vector space, then W is a subspace of V.
(b) The empty set is a subspace of every vector space.
(c) If V is a vector space other than the zero vector space {0}, then V contains a subspace W such that W is not equal to V.
(d) The intersection of any two subsets of V is a subspace of V.
(e) An $n \times n$ diagonal matrix can never have more than n nonzero entries.
(f) The trace of a square matrix is the product of its entries on the diagonal.

rheisf 2022-01-06

determine whether W is a subspace of the vector space.
$W = {(x, y) : x - y = 1}, V = R^{2}$

Finding detailed linear algebra problems and solutions has always been difficult because the textbooks would never provide anything that would be sufficient. Since it is used not only by engineering students but by anyone who has to work with specific calculations, we have provided you with a plethora of questions and answers in their original form. It will help you to see some logic as you are solving complex numbers and understand the basic concepts of linear Algebra in a clearer way. If you need additional help or would like to connect several solutions, compare more than one solution as you approach your task.

Linear algebra

Simplifying Linear Algebra: Techniques, Solutions, and Examples