MAT2114 HOMEWORK 06 2. (Your instructor forgot to do this example in class). Let W- (a) Find a matrix A so that W = Null(A). A-[117] = [1 CA (b) Find a basis for W. A: [ 1 1 1] > Bass (w). Singulur vector Pof R₂-R., 13-2, ER³ such that r+y+z=0 y = 0 Z Ax=0✓ 1x305x1 10

Q: O Xply Hhe Cram- Schaidt to fraus fom the jven baris for R into an or themumal' tasis. Ue the veitos…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find a basis for Nul A and dim Nul A. 2 2 -1 -1 2 1 -2 0 1 A -1 1 0 0 -3 0 1 1] 1 -1

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Q: How are n, rank A, and nullity A related to each other how can one find a basis for Col A, Nul A,…

A: Write the relationship between n, rank A and nullity A. Also write a procedure to find a basis for…

Q: –30 . Let [x]B Let B = bi = ,b2 = be a basis for R2. Given x = be the coordinates of x relative to…

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Q: Please provide explanation as to how the end result was obtained. Please be as explicit as possible.…

A: Use the matrix multiplication rule. According to this rule, the number of column of the 1st matrix…

Q: The set S = is the standard basis for R?. The set A= {().()} The set A = is also a basis for R?…

A: VA=-2  1  -2  1=4  3-5+3.5-4  6  we expressed VA as linear combination of A basis vectors same VA…

Q: One of the following sets is a basis for R. Select one: a. 1 7 3 S=}| 2 10 O b. S= C. 1 2 S= d. 1 3…

A: A=111011001adj(A)=C11C21C31C12C22C32C13C23C33=1-1001-1001∴option C is  true

Q: Question 31 Determine whether (V₁, V₂, V3} is a basis for R³. -3, V₂ = 8, V3 = 3 O Yes O No

A: Sol:- It will basis for R3 Only when , they will be linearly dependent i.e. determinant should be…

Q: Let [1 2 -5 11 -3 2 4 -5 15 2 A = 1 2 0 4 5 3 6 -5 19 -2 Find bases for Nul A and Col A.

A: According to the given information it is required to determine the bases for Nul A and Col A.

Q: Is S= { 2 3 2 3 1 1 a basis for M2.2 1 0 4 0 1 1 0 1

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Q: Let P2 denote the vector space of all polynomials in the variable a of degree less than or equal to…

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Q: DETER MINE WHETH ER TiHE SET Å IS A BASIS FOr IR9 2 %3D -2 EXPLAIN YOUR AN SWER MN- -m.

A: The given set S is not a basis for R^4.