Let A = 0 -2 OC. Three of the five columns in rref(A) have pivots. OD. Two of the five columns in rref(A) have pivots. -3 -2 2 -4 6 0 2 4 b. The dimension of the column space of A is answer): A. rref(A) has a pivot in every row. OB. The basis we found for the column space of A has three vectors. E. rref(A) has a pivot in every column. F. rref(A) is the identity matrix. c. The column space of A is a subspace of d. The geometry of the column space of A is the origin inside R^5 a. A basis for the column space of A is { }. You should be able to explain and justify your answer. Enter a coordinate vector, such as <1,2,3,4> or <1,2,3,4,5>, or a comma separated list of coordinate vectors, such as <1,2,3,4>,<5,6,7,8> or <1,2,3,4,5>,<6,7,8,9,10>. 4 -2 2 1 -2 1 -3 -2 2 because (select all correct answers -- there may be more than one correct because each column vector in A is a vector in R^4 ✓

Q: To show that the first four Hermite polynomials form a basis of P3, what theorem should be used? O…

A:

Q: V1 [³] Given a₁ = -4 and a2 V2 || = 5, what vector is formed by the linear combination a₁ V₁ + a2V₂?

A: Here we have to find the linear combination a1v→1+a2v→2 for the given the vectors v→1 and v→2.

Q: Assume that A is row equivalent to B. Find bases for Nul A, Col A, and Row A. A = -2 8-2-8 2-12 -4 2…

A:

Q: 1 %Define the three vectors u=[1, 0, -4], v=[3, -3, 1], and w=[0, 2, 1]. u=[1 0 -4] v=[3 -3 1] w= [0…

A: ##Importing the library of numpy and then Defining the 3 vectors : import numpy as np…

Q: 14. A = B = [1 ~ 3 NO NC hové - ลด and a b 0 0 0 0 0 58 0-9 0

A: Given: Matrix A=12-511-324-51521204536-519-2 Matrix B=12045005-780000-900000 is row equivalent to…

Q: Let ā = (- 2, – 3) and b = (- 6, – 4). Compute the dot product.

A:

Q: 2. 4 7 X•w Compute w • w, x•w, and using the vectors w=-1 and x = w•w - 5 3 w•w = (Simplify your…

A:

Q: Given that 9 write -18 as a linear combination of the vectors 9 -18 = -11 H 0 -2 −1 -000 + −1 2 1 9…

A: We have to write

Q: 1 3 -2 2 1 1 -5 Let A = 1 2 -3 7 -2 -8 2 -1 A. Do the columns of A span R4 ? B. Does the equation B…

A: Hello. Since your question has multiple parts, we will solve the first three parts for you. If you…

Q: A = -6 21 ] has 3 rows and 2 columns. -35 0 When factoring A as UEVT, V has has 2 rows and 2…

A: The Singular value decomposition of a matrix A is given as A=UΣVT , where U and V orthogonal matrix…

Q: Compute a x b, where a = i – 2j + 5k, b = 2i +j+ 3k. (Write your solution using the standard basis…

A:

Q: If v = 3i - 7j and w = -i + 4j, find v + w. 2i - 3j 4i + 3j 2i + 11j 4i + 11j QUESTION 4 If v = 3i -…

A:

Q: 10 - 2 7 Let A = 0 3 3 and b = 3 Denote the columns of A by a,, a2, ag, and let W = Span (a,, a2,…

A:

Q: -33 28 22 that 5u - 6vw = 0. Use this fact (and no row operations) to find X1 3 8 -33 and 2 that…

A:

Q: Let Z₁ Z1 If = 22 m= n = F/1, and Z₂ = -3-4i, -40 +-=-5 i, calculate m and n: n

A:

Q: Could a set of three vectors in R* span all of R4? Explain. What about n vectors in RM when n is…

A: Determine whether a set of three vectors in R4 span all of R4 as follows. Consider a matrix A of the…

Q: Let u = 6 - 1 and v= 6 Show that a a -[:] k Let b = k How can it be shown that a vector b is in Span…

A:

Q: Suppose a vector w R³ can be written as w = 5v₁ - 3v2 + 7v3, where V₁, V2, V3 are vectors in R³.…

A: Explanation of the answer is as follows

Q: Let a₁ = -4 a2 3 Write b as a linear combination of a₁, a2, and a3, if possible. b= -6 -2 3 " - a3 =…

A:

Q: 9.2 If possible, find two vectors ū and v so that (a) a and c are non-negative linear combinations…

A:

Q: Given the ordered basis -1 -5 A2 -4 1 6. | B A1 %3D %3D -2 -3 5 6. -2 A4 9 -2 Аз 6 2 -9 -4 with…

A:

Q: 2. a. In each part express the vector as a linear combination of 2+x+4x², p₂ = 1 − x + 3x², and p3 =…

A: