.. Find A basis for the nullspace and column space of 1 2 1 1 2 2 2 4 3 2 1 1 2 A = 3 3 1 -1 -1 |

Q: Find a basis for the nullspace of A. 6. 1 - 1 A=5 - 4 -4 7 -6 (a) 3 2

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Q: Let A = 12 14 3 1 0 1 02-30 1000 Find a basis for the column space of A.

A: As per the question we are given a matrix and we have to find a basis for the column space of

Q: Find a basis for the vector space of all 3 x 3 diagonal matrices. 1 0 0 0 1 0 0 0 1 100 0 1 0 0 0 1…

A: Find your answer below

Q: 1. Find bases for the row and column spaces of A and determine the rank of A where 2 -1 1 -2 1 1 4…

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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 bases of for the column space of A, row space of A, and the null space of A 1 1 -1 0 2 -2 A = 2…

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Q: DO NUMBER 5 (Linear Alegbra & Diff. equations)

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Q: Find a basis for the Null space of 1 1 1 2- 1 -1 -3 2 1 2 3 2 A = 12 3 4 4. a. {(1,– 2,1,0),…

A: for finding the basis of null matrix first we need to fine the echelon form of the given matrix

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: -1 1 4 Let A = -3 3 12 -4 4 16 Find a basis for Null(A).

A: We are given a matrix of order 3×3 A= -1 1 4       -3 3 12       -4 4 16

Q: [1 2 1. Find bases for the row space and the column space of the matrix 0 1 1 0 1 20 1

A: Given matrix is: 120101101201 Apply row operations to the given matrix. ~120101100000

Q: The set 1 -2 ГО [o oj В - -3 0 2 is a basis of the space of upper-triangular 2 × 2 matrices. -6 -6]…

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Q: Let 3 -4 10 -5 2 3 -7 4 A 0 0 0 0 -2 - -3 7 A basis for the null space of A is { vector

A: ​The basis for the null space of A is ⎣⎢⎢⎢⎡​2110​⎦⎥⎥⎥⎤​,⎣⎢⎢⎢⎡​1−201​⎦⎥⎥⎥⎤​ vector​Explanation:Step…

Q: 4 Let A = 2 -3 −1 1 -1 −1 9 1 02 (a) Find bases for the row and column spaces of A. Identify the…

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Q: 0 10 2-1 10-1 1 O Find a basis of the row space of A = by reducing A to reduced echelon form. 0 1 0…

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Q: 2. (A). [1 2 1 2 2 4 3 5 1 5 7 M = 3 6 4 9 10 11 li 2 4 3 9. i. What is the echelon form and row…

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Q: Use the fact that matrices A and B are row-equivalent. 2 10 0 5 1 1 0 3 7 22-2 15 34 11 2 4 10 30-4…

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Q: -2 -5 8 0 -17] 1 1. Consider A = -5 1 5 11 -19 7 1 1 7 -13 5 -3 a. Find the basis for, and the…

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Q: Find the basis for the Null space of the matrix 1 4 5 2 1 3 0 1 3 2 2 A = 2

A: A=14522130-1322 →R3→R3+R1R2→R2-2R1…

Q: Find a basis for the column space of B = 1 0 -1 6 0 10-3 0 0 1 00 00

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Q: a) Find the rank of A and a basis for the row space of A. b) Find the dimension and a basis for the…

A: We have the given matrix A. A=-10210  21001  31-2-11  41-4-21

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: -3 3 7 1 3 Let A -1 3 9 3 1 -5 3 5 -1 4/ ases for the row space and column space of A. Hence find…

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Q: 1 3 1 A 1 2 2 -3 1 -4 -3 Find bases for the rowspace, the nullspace and the column space, of A. ||

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Q: Civen that A and B are row equivalent. -1/6 100 -1/6 0 1 0 4 -6 3 1 -3/2 0 0 0 2 A = -2 -3 -2 0 3 1…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 1 1-2 0 2 1 1 -1 -3

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Q: ind a basis for the nullspace of the matr

A: Given,         A=13-2501-12-2-64-10

Q: Find a basis for the Null space and the column space of A 1 2 1 2 -1 1 1 1 2 1 2 1 24 24 A =

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Q: 2. Find a basis for the null space and column space of the following matrix 1 3 1 3 0. 1 1 A = |-3 0…

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Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.