Determine if y is in the subspace of R spanned by the columns of A. 14 -5 -8 -7 A= 16 6-7 y= -5-7 3 -5 15 -2 -8 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The vector y is in the subspace spanned by the columns of A because y can be written as a linear combination of these columns as follows. - 4 14 5 -8 -7 - 7 y = 16 6. -5 - 7 3 -5 15 - 2 - 8 (Type integers or simplified fractions.) O B. The vector y is not in the subspace spanned by the columns of A.

Q: Civen that 1 00 7 -4 -3 3 2 19 -1 1 4 0 1 0 4 3 -1 4 3 0 0 1 4 3 write 4 as a linear combination of…

A:

Q: Select the best statement.

A:

Q: Find the distance of the point (1, 7, -9) in R from the subspace of vectors of the form (a, 8a, b).

A:

Q: Find a non-zero vector in the column space of A. A = -8 4 -20 12 -25 -4 -6 -5 24 0 30

A:

Q: Find the dimension of the vector space.R3m

A:

Q: 1 A =-3 -2 -2 ,and b= 9 1. Let 1 9. -5 ,x= 4 -8 -1 7 It can be shown that Ax b. Use this fact to…

A:

Q: a Let A = b - a then A is diagonalizable. b Select one: O True O False

A:

Q: Determine if the given set of vectors is linearly independent. B = {|1 2 }

A:

Q: Find all values a for which the set {(a — 5, 13, 0), (−1, a – 9,0), (4, 0, a — 2)} is linearly…

A:

Q: Determine if v is in the set spanned by the columns of B. 2 -3 2 - 4 6 -7 9 - 4 B = v= 6 -5 15 4 6…

A:

Q: Find the cross product a * b. a=(4, 5, 0), b = (1, 0, 7) Verify that it is orthogonal to both a and…

A:

Q: Let ui = (3, –1,3, 3), u2 = (-2,3, 1, 3), and uz = (0, –1, -1, –1). Write v = (8, –9, 1, –1) as a…

A:

Q: a 12 Let A 0 a 1 For what value of a is A diagonalizable? Explain your 00 a answer.

A:

Q: Determine the dimension of the vector space. R9

A:

Q: Consider the subset of P3 Q = {−6x² + 4x − 6, −24x² + sx + 6, 2sx + s} Find the two values of s for…

A: In this question, we will find the values of 's' for which a given set is linearly dependent.

Q: Find the dimension of the subspace spanned by the given vectors below. 4 6. -5 8 -4 O 3 O 4

A:

Q: Let A = -1 -3 3 and b = b₁ 8} Show that the equation Ax=b does not have a solution for some choices…

A:

Q: [1 |A = [a1, a2, a3, a4] 2 11 5 0 3 -1 4 0

A: According to the given information, it is required to find a linear dependence between the columns…

Q: Determine whether or not A = 25 is diagonalizable. Justify your answer. 1

A:

Q: Given 7 - -6 -8 -8 find the closest point to in the subspace W spanned by 5 -6 -2 and -6 3 3 -54

A: We have to find the closest point to the vector v in the subspace spanned by the vectors x and y…

Q: A given field mouse population satisfies the differential equation dp dt = 0.2p - 380. where p is…

A: The given differential equation is       = 0.2p - 380  =>  = dt Integrating both sides, we get…

Q: 1 1 -1 |1– 5k + k² 1+4k 1– 2k 3 -2 1

A: we can write the given vectors as a linear combination of vectors…

Q: A culture of yeast grows at a rate proportional to its size. If the initial population is 8000 cells…

A: I have written everything with in the solution. Please go through that.

Q: 10 -2 -2 -2 Denote the columns of A by a,, a2, a3, and let W = Span (a,, a2, az}. - 16 Let A = 0 2…

A:

Q: {{: ]-- The set P = b = c = a + d } is a vector space under usual addition and multiplication. Find…

A:

Q: Find a basis for the subspace of Rª spanned by the following vectors. Answer: 5 -14

A:

Q: Determine if v is in the set spanned by the columns of B. B= 8-3 2 -9 4-7 6-2 4 5 -1 10 V= 12 -11 10…

A:

Q: Find the vector form for the geveral selution to the system of equations. X, - X, + Zxg - xy - Xx=-8…

A:

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.