35-8 12 7 16 31 4 -2 S 2 t-1 -2 3 = A rref (a) Find null space (6) Find a basis for the null space 4

Q: -1 1 -2 1 Find a basis for the row and column spaces of A = and find rank(A). 4 -2 3 -9- 3.

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Q: 3. Let X = {(1) (1) (1) ()}. a) Show that X spans R³. b) Explain why X is not a basis for R³. c)…

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Q: -6 -2 -2 0 -6 -2 -2. Find a basis for N (A), the null space of A. Let A = [ 0

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Q: Find a basis for the Null space of 10 -5 3 0 1 -2 5 5 -13 1-50 A = 0 1 a. {(5,2,1,0), (-3, -5,0,1))…

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Q: 4 8-8 2 Find an orthonormal basis for the space spanned by 2 and 00

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Q: 8. Find a basis for the null space of 2 1 0 A = 3 2 1

A: To find basis of null space,  Ax=0 Firstly reduce the augmented matrix in reduced echleon form, then…

Q: 4 -3 14 -6 -3 I -2 -2 -2 -2 -4 4. Gien A= Find the Null Space, Column space of A. Find Basis for…

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Q: 1 0 - 5 2 Find a basis for the null space of the matrix 0 1 - 2 4 5 - 13 1 -42 A basis for the null…

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Q: G #2 Find the minded parmamial H ne legenvecters basis L 2 fie geneanzen

A: Given : A=-311-622-311 To Find : Minimal polynomial

Q: √6 -2√6 0 √6 -2 √4 3√3 1 √4 3√3 √4 √3 √4 3√3 -2 -1 1 (800)} 1 1 3 * * * * * * * 3√3 2

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Q: 3 -51 -1 . Let W = Span Find an orthogonal basis for W.

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Q: 1 2 -2 1] 6. For the matrix A = |3 6 -5 4 Find a basis for 1 2 3 a) The null space

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Q: [1 -2 0 5] 2. Let A %3D (a) Find a basis for the nullspace N(A) of A (indicate two sets in your…

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Q: Iř bị, b2 form an orthonormal basis for C and x is any vector in C?, then O x[4 – 2 |x - b1|² |x -…

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Q: Which one of the following is an orthonormal basis of R³? 1 {]--]} {B}. √3 √2 3 {]···]} √2 2 √6 0 /6…

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Q: Find a basis for the null space Nul(A) and a basis for the column space Col(A) of the 6. -10 matrix…

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Q: JApply the Gram-Schmidt process to 2 -3 a1 a2 a3 3 1 to obtain an orthonormal basis for Span{a1, a2,…

A: a1=1-100, a2=20-20, a3=3-331 Consider v1=a1=1-100 v2=a2-a2, v1v1, v1v1=20-20-221-100=11-20

Q: -5 1 -3 1 Find a basis for the nullspace of the matrix A = -3 -2 0 3 1 5 -3 -5 Question 2 and verify…

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Q: 0 1 3 let A = -1 0 1 -1 27 Then a basis for the nullspace of A is none 3 1 -3 3 1 2

A: The answer is option C

Q: 00 4. 21 42 01 4- 7 J The set S={(1,0, 0), ( 1, 0, 1), ( 0, 0, 1) } is a basis for R°.

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Q: 1 -4 2] Find a basis for Nul(A)-. 1 Let A -3 A basis is {v1, v2} where Vị V2 = ||

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Q: -12 2 Find a basis for the null space of A = 60 -10 1 Ex: 1

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Q: A = [2 1 1       4 −6 0       −2 7 2] and b = [6         8         3] only answere of part d…

A: Given                                      A=2114-60-272b=683   Define…

Q: Find a basis for the null space of 1-1 3 3 2

A: We have to find the basis for null space of 1-13324 Definition : Null space of A is defined as…

Q: If b1, b2 form an orthonormal basis for C and x is any vector in C, then O x4- x bị x b2 0 O x+ x bị…

A: We will find out the required value.

Q: 14 This is the expansion of the vector -15 in terms of the basis vectors -9 目日-日 2. 4 9. 1 , and 6 7…

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Q: [1 3 1 -1 Let A = |0 1 2 3 -2. Which of the following sets is a basis for the null lo o 1 4 space of…

A: Let ,  A = 131-100123-200144 We need to find Basis for null space of A. For that , first we will…

Q: 6. Let (image): (a) Find a basis for the null space of A. (b) Find a basis for the column space of…

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Q: [2 4-2] 36 -3 1 2 16. Let A = Find a basis for the null space of A. What is nullity(A)?

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Q: Find a basis for the null space of the matrix 2 -2 -1 ( 1 -1 2 5 -5 0 A = 1 -1 1 5 3

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Q: 12 69 -9 -12 -6 -8 11 28 4 6 3 Let B-3 (a) Find a basis for ColB. (b) Find a basis for RowB. (c)…

A: Our first target will be to reduce the given matrix in Echelon form by using elementary row…

Q: Find a basis for the column space of A

A: Column space of A = Span of columns of A = set of linear combination of the columns of A

Q: 8. Find a basis for the null space of 2 A = 2

A: As per guidelines we are  supposed to solve only first Question for second Question kindly ask it…