B = The set -1 -3 0 -1 0 0 {[3][8][2]} 0 -3 0 -2 0 0 is a basis of the space of upper-triangular 2 x 2 matrices. Find the coordinates of M = [M]B respect to this basis. -6 5 0 2 with

Q: Find a basis for R that includes the vectors (2, -1, 5) and (4, 5, -5) {(2, -1, 5), (4, 5, -5), )}

A: Idea is we try to find a vector which is not in the span of given two vectors now collection of…

Q: Give a basis for the column space of the matrix A using only columns of A in your basis. 006-10 A =…

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Q: Find the change of basis matrix [] and use it to find [v]• B -17] 2 0 --{@@@}-E -2 4 4 B 1 2 = -71…

A: Given Information: and To find: and Notation used: denotes the change of standard basis matrix with…

Q: The set B = {4x? - 1, z -3+ 12z2, 12 – 3x 40x} is a basis for P2. Find the coordinates of p(x) = 52…

A: write each polynomial as a vector  4x2-1=x2x140-1 12x2+x-3=x2x1121-3 -40x2-3x+12=x2x1-40-312 write…

Q: 4 4 A = -2 3 3 3 2 1 1 -2 Basis

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Q: List the row vectors and column vectors of the matrix 1. 2 5 7 –10 1 3 1 1 4 2 7

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

A: We are given two matrices A and B. These two are equalent matrices.

Q: 7. For the matrix: A = b. B Row B Rank (A)= -4 a. Find a basis for the row space of A and rank(A). 1…

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Q: Find an orthogonal basis of the column space of the following matrix: 1 -5 6 4 -1 A = -4 -1 -13 9 2…

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Q: []B = Find the coordinate vector of = 2 4 with respect to the basis B = [1] 0 {CC)6]} 2 for R³.

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Q: please do 9bc please.

A: Thank you 😊

Q: In P,, find the change-of-coordinates matrix from the basis B = {1+3r²,2+t+7t?,1- 41} to the…

A: Given that                          B={1+3t2,2+t+7t2,1-4t} is a basis for ℙ2. To find the change of…

Q: Represent the vector ⟨16,8,−14⟩ in terms of the ordered basis B={⟨5,−2,−2⟩,⟨1,−4,2⟩,⟨−1,−5,3⟩}.

A: