(b) Find the basis for the col(A) and null(A) 4 5 2 1 30 1 3 2 2 1 A ||

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Q: Give bases for row(A), col(A), and null(A). 1 1 -8 0 2 1 1 -1 -9 row(A) col (A) null(A) A = ↓ 1

A: Row Space: Non zero rows in the row reduced form is the basis of row space. Column Space: Since the…

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A: Given that the vectors v1=3-60 ,  v2=-56-2   and v3=1-6kThe matrix form of the given vectors is…

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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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A: We find the coordinate vector.

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Q: (a) Write the vector w = (1,1, 1) as a linear combination of vectors in the set S given by S =…

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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

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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: A .7 Find all values of a for which {[a² 0 1], [0 a 2], [10 1]} is a basis for Rg.

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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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A: We have to check

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A: We will find out the required basis.

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Q: Consider the elementary basis vectors & € R¹ (column vectors). Show that the matrix eje +e₂e₂+...+ee…

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A: Given that, B=262-246022040 We need to find the basis for the column space of B.

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A: Here we have to find the linear combination.

Q: (2) Prove that if a + b and a – b are orthogonal, then a and b have the same magnitude.

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Q: 5. Find (a) a basis for the row space, (b) a basis for the column space, (c) the nullspace, and (d)…

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Q: Determine if the vectors vị = (1,2, 3), v2 = (1,-1,–3), v3 = (1, 1, 1) span R³.

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Q: Find the stable vector of 0 0 1 1 P 2 1 3 3 ..-

A: It is an important part of statistics. It is widely used.

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A: The polynomials p1t, p2t and p3t belongs to the vector space P2 because P2 contains all the…

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Q: Consider the following matrix A: 1 2 3 -1 3 5 8 -2 A = %3D 2 2 0 2 1 1 (a) Find a matrix B in…

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Q: Give bases for row(A), col(A), and null(A). 1 1 -4 0 2 1 1 -1 -5 row(A) col(A) null(A) A = ↓ 1 11

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