Maiclubk
2021-02-11
yagombyeR
Skilled2021-02-12Added 92 answers
A subspace is a subset H of a vector space V with the following 3 characteristics:
1. the zero vector of V is in H
2. the subspace gets sealed as more is added.
3. in the case of scalar multiplication, the subspace is closed.
1. Let A = 0. Then for any matrix F, FA = 0. Thus, . So H contains the zero vector.
2. Let . Consider due to the distributive property of matrices. Since .
Thus, , so H is closed under addition.
3. Let . Consider cA. F(cA) = c(FA) according to scalar properties. Since , c(FA) =c(0) =0. Thus, . So H is closed under scalar multiplication.
Thus, H fulfills all the requirements of the definition of a subspace of .
Describe all solutions of Ax=0 in parametric vector form, where A is row equivalent to the given matrix
Find, correct to the nearest degree, the three angles of the triangle with the given vertices
A(1, 0, -1), B(3, -2, 0), C(1, 3, 3)
Whether f is a function from Z to R if
a) .
b) .
c) .
How to write the expression in radical form?
How to evaluate ?
What is the derivative of ?
How to verify the identity: ?
Find using the half-angle formula.
How to find the exact values of using the half-angle formula?
How to express the complex number in trigonometric form: 5-5i?
The solution set of is
How to find the angle between the vector and axis?
Find the probability of getting 5 Mondays in the month of february in a leap year.
How to find the inflection points for the given function ?
How do I find the value of sec(3pi/4)?