Find a basis B for the vector space of 3 × 3 magic squares. A square matrix is magic if the sum of the numbers in each row, column, and diagonal is the same. B={ ☐ ☐ 000 }. ☐☐☐ Find a basis for the vector space {A € M2×2 | tr(A) = 0} of 2 × 2 matrices with trace 0. B={ }.

Q: Determine whether the set of all 2 x 2 nonsingular matrices, together with matrix addition and…

A: See the solution below.

Q: Consider the 2 X 2 matrices A1 = 1 1 A2 = 0 1 A3 = 0 0 A4 = 1 0 1 1 1 0 () Argue whether these four…

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Q: (3) Find an orthogonal basis of the column space of the matrix -1 6 6 3 6 -4 -3, A= 3-8 1-2 1

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Q: Find the singular values of the matrices in Exercises

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Q: Does the set of all 2x2 matrices form a vector space, please explain.

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Q: If a vector is in the range of a matrix A, then it is also in the null space of A. true of false?

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Q: entries

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